Article
Astronomy & Astrophysics
Giuseppe Clemente, Arianna Crippa, Karl Jansen
Summary: This study proposes to use noisy-intermediate-scale-quantum-era quantum devices to compute short distance quantities in (2 + 1)-dimensional QED, and combine them with large volume Monte Carlo simulations and perturbation theory. By performing quantum computations, the mass gap in the small and intermediate regime can be reliably resolved and matched with corresponding results from Monte Carlo simulations.
Article
Physics, Particles & Fields
Eric D'Hoker, Thomas T. Dumitrescu, Emily Nardoni
Summary: This paper discusses the Seiberg-Witten solution of pure N = 2 gauge theory in four dimensions, obtaining an exact series expansion for the dependence of Seiberg-Witten periods on Coulomb-branch moduli. The global structure of the Kahler potential on the Coulomb branch is explored utilizing analytical results and numerical computations.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Enrico Morgante, Nicklas Ramberg, Pedro Schwaller
Summary: We estimate the gravitational wave signal emitted in the confinement transition of a pure SU(3) Yang-Mills dark sector by analyzing the phase transition in improved holographic QCD. We calculate the energy budget and duration of the phase transition with minor errors using the derived effective action from holography. These calculations are then used to predict the gravitational wave signal. This is the first computation of gravitational wave signal in a holographic model designed to match lattice data on the thermal properties of pure Yang-Mills.
Article
Astronomy & Astrophysics
F. T. Brandt, J. Frenkel, D. G. C. McKeon, G. S. S. Sakoda
Summary: In this paper, we investigate the behavior of the analytic running coupling in QCD using the 't Hooft renormalization scheme and the two-loop beta-function. We derive an exact integral representation for this causal coupling, which is expressed in terms of the Lambert function W's imaginary part. This integral form manifestly accounts for the universal value of the infrared limit.
MODERN PHYSICS LETTERS A
(2022)
Article
Astronomy & Astrophysics
Claudio Bonati, Michele Caselle, Silvia Morlacchi
Summary: The study shows that even with string breaking in the three-dimensional SU(2) Higgs model, the confining part of the interquark potential can still be accurately described by effective string theory. Furthermore, the fine details of the effective string, such as higher order terms of the Nambu-Goto action or boundary corrections, can be precisely extracted from fits and agree with the predictions of effective string theory.
Article
Astronomy & Astrophysics
Johannes Aspman, Elias Furrer, Jan Manschot
Summary: In this study, we investigate the behavior of the order parameter u = < Tr phi(2)> as a function of the running coupling constant a in asymptotically free N = 2 QCD with SU(2) gauge group and less than 3 massive hypermultiplets. By restricting the domain of a to a suitable fundamental domain, we show that u is one to one, and these domains consist of six or less images of an SL(2 , 7L) keyhole fundamental domain.
Article
Astronomy & Astrophysics
Shi Cheng
Summary: This study investigates the mirror symmetry of Abelian three-dimensional N = 2 theories with mixed Chern-Simons levels by transforming them into T-A,T-N theories. It reveals that T-A,T-N theories have multiple mirror dual theories with different mixed CS levels and parameters, and analyzes the mirror symmetry for theories corresponding to knots using sphere partition functions and vortex partition functions.
Article
Physics, Particles & Fields
Ekaterina Sysoeva, Aleksei Bykov
Summary: We derive a residue formula and recurrence relation for the instanton partition function in N = 2 supersymmetric theory on C-2 with SU(N) gauge group. The recurrence relation is known for SU(2) gauge group and a residue formula is found for the term with the minimal number of instantons in the SU(3) case. We provide a complete proof of the residue formula in all instanton orders and formulate a refined version of it based on an algebro-geometric interpretation.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Lyonell Boulton, Maria Pilar Garcia del Moral, Alvaro Restuccia
Summary: This work discusses the existence and uniqueness of the ground state of the regularized Hamiltonian of the Supermembrane in various dimensions, focusing on the outer Dirichlet problem in unbounded valleys. The solution has a purely discrete spectrum with finite multiplicity in these valleys, in contrast to the continuous spectrum in unrestricted space. This analysis also determines an upper bound on the fermionic potential leading to the coercive property of the energy form.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Anthony N. Ciavarella, Ivan A. Chernyshev
Summary: In this study, the variational quantum eigensolver is utilized to prepare vacuum states on quantum hardware, with Bayesian optimization and gradient descent explored for classical optimization. Ansatz states for plaquette chains are constructed in a scalable manner from smaller systems. The experiments were performed on IBM's superconducting Manila processor.
Article
Physics, Nuclear
Minati Biswal, Sanatan Digal, Vinod Mamale, Sabiar Shaikh
Summary: This paper studies the Z(N) symmetry of the SU(N) gauge group in a one-dimensional gauged chain. The action is obtained by considering the explicit breaking of ZN symmetry in a (3 + 1)-dimensional Euclidean lattice action of a SU(N) gauge theory. The Polyakov loop free energy can be calculated by integrating out matter fields exactly for a given background of link variables. In the limit of large number of temporal sites, the Polyakov loop free energy exhibits Z(N) symmetry for Higgs as matter field and approaches a nonzero value for fermions.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2022)
Article
Physics, Multidisciplinary
Joseph A. Minahan, Usman Naseer, Charles Thull
Summary: In this paper, we study the partition function for Euclidean SU(N) super Yang-Mills on a squashed seven-sphere. We find that the localization locus of the partition function has instanton membrane solutions wrapping the six fixed three-spheres on the S7. The ADHM variables of these instantons are fields living on the membrane world volume. We compute their contribution by localizing the resulting three-dimensional supersymmetric field theory. In the round-sphere limit the individual instanton contributions are singular, but the singularities cancel when adding the contributions of all six three-spheres. The full partition function on the S7 is well-defined even when the square of the effective Yang -Mills coupling is negative. We show for an SU(2) gauge theory in this regime that the bare negative tension of the instanton membranes is canceled off by contributions from the instanton partition function, indicating the existence of tensionless membranes. We provide evidence that this phase is distinct from the usual weakly coupled super Yang -Mills and, in fact, is gravitational.
Article
Astronomy & Astrophysics
Denis Boyda, Gurtej Kanwar, Sebastien Racaniere, Danilo Jimenez Rezende, Michael S. Albergo, Kyle Cranmer, Daniel C. Hackett, Phiala E. Shanahan
Summary: A flow-based sampling algorithm has been developed for SU(N) lattice gauge theories, ensuring gauge invariance by construction. This algorithm constructs flows on an SU(N) variable (or on a U(N) variable through a simple alternative) that respects matrix conjugation symmetry, and has been applied to sample distributions of single SU(N) variables and to construct flow-based samplers for SU(2) and SU(3) lattice gauge theory in two dimensions.
Article
Physics, Particles & Fields
Matteo Sacchi, Orr Sela, Gabi Zafrir
Summary: This article discusses the method of obtaining 3d N = 2 theories by introducing flux on a torus, and analyzes a family of 5d SCFTs. The study systematically reveals the non-trivial non-perturbative phenomena of these theories and verifies them using various methods.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
Pallab Basu, S. R. Haridev, Prasant Samantray
Summary: We investigate the spontaneous breakdown of symmetry for the O(N) symmetric linear sigma model in Rindler and anti-de Sitter spacetimes. By computing the one-loop effective action, we find a phase transition from the disordered phase to an ordered phase in three dimensional Rindler space past a certain critical Rindler acceleration parameter a. Connections with finite temperature field theory results are established, supporting the idea that Rindler space can act as a proxy for Minkowski spacetime with finite temperature. We extend our calculations to anti-de Sitter space in various dimensions and observe symmetry breaking in three dimensions, but not in four dimensions. The implications of our results are discussed.
Article
Medicine, General & Internal
Jane Lyons, Ashley Akbari, Fatemeh Torabi, Gareth Davies, Laura North, Rowena Griffiths, Rowena Bailey, Joseph Hollinghurst, Richard Fry, Samantha L. Turner, Daniel Thompson, James Rafferty, Amy Mizen, Chris Orton, Simon Thompson, Lee Au-Yeung, Lynsey Cross, Mike B. Gravenor, Sinead Brophy, Biagio Lucini, Ann John, Tamas Szakmany, Jan Davies, Chris Davies, Daniel Rh Thomas, Christopher Williams, Chris Emmerson, Simon Cottrell, Thomas R. Connor, Chris Taylor, Richard J. Pugh, Peter Diggle, Gareth John, Simon Scourfield, Joe Hunt, Anne M. Cunningham, Kathryn Helliwell, Ronan Lyons
Article
Physics, Particles & Fields
Guido Cossu, David Lancaster, Biagio Lucini, Roberto Pellegrini, Antonio Rago
Summary: This study reduces the autocorrelation time of the topological charge in lattice calculations using a density of states approach and simulated tempering across couplings. The results show a significant reduction in the exponent related to the growth of autocorrelation time, providing firm evidence for the method's accuracy and efficiency near the continuum limit in SU(3) pure Yang Mills gauge theory.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Physics, Multidisciplinary
Dimitrios Bachtis, Gert Aarts, Francesco Di Renzo, Biagio Lucini
Summary: In this paper, we propose a method of inverse renormalization group transformations within the context of quantum field theory. This method can produce the appropriate critical fixed point structure, avoid the critical slowing down effect, and extract critical exponents. We also discuss the general applicability of this method and its insights into the structure of the renormalization group.
PHYSICAL REVIEW LETTERS
(2022)
Article
Astronomy & Astrophysics
Claudio Bonanno, Massimo D'Elia, Biagio Lucini, Davide Vadacchino
Summary: In lattice gauge theories, the integrated autocorrelation time of the topological charge exponentially grows as the continuum limit is approached. To reduce systematic effects related to topological freezing, the parallel tempering on boundary conditions algorithm is adopted to compute the glueball masses.
Article
Astronomy & Astrophysics
Ed Bennett, Deog Ki Hong, Jong-Wan Lee, C-J David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino
Summary: We propose a universal rescaling method for the ratio between topological susceptibility and string tension squared in four-dimensional Yang-Mills theories, which depends only on group factors. We apply this method to SU(N-c) and Sp(N-c) groups and compare lattice measurements from different independent collaborations. The results show that the numerical sequences in these two groups are compatible with each other, and we perform a combined fit and extrapolate to the large-N-c limit.
Review
Astronomy & Astrophysics
Ed Bennett, Jack Holligan, Deog Ki Hong, Ho Hsiao, Jong-Wan Lee, C. -J. David Lin, Biagio Lucini, Michele Mesiti, Maurizio Piai, Davide Vadacchino
Summary: This article reviews the current status of the long-term numerical investigation programme of Sp(2N) gauge theories with and without fermionic matter content. The motivations for this research programme, related to composite Higgs models, partial top compositeness models, dark matter models, and strongly coupled theories, are introduced. The results of lattice studies in the Sp(2N) Yang-Mills theories, including the measurements of string tension, mass spectrum of glueballs, and topological susceptibility, are summarized. The measurements of mass and decay constant of mesons in the Sp(4) theories with fermion matter in different representations are discussed, along with the case of dynamical fermions in mixed representations and exotic composite fermion states.
Article
Astronomy & Astrophysics
Nicholas Sale, Biagio Lucini, Jeffrey Giansiracusa
Summary: We study the use of persistent homology as a tool to detect and describe center vortices in the SU(2) lattice gauge theory. We show evidence of the sensitivity of our method by detecting explicitly inserted vortices using twisted boundary conditions. We propose a new phase indicator for the deconfinement phase transition and construct another indicator without reference to twisted boundary conditions. Finite-size scaling analyses of both indicators provide accurate estimates of the critical beta and critical exponent of the deconfinement phase transition.
Article
Astronomy & Astrophysics
Ed Bennett, Deog Ki Hong, Jong-Wan Lee, C. -J. David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino
Summary: In this study, the scaled version of the Wilson flow was used as a scalesetting procedure to investigate Yang-Mills lattice theories with Sp(N-c) gauge group. The results showed good agreement among all values of N-c considered over a finite interval in flow time.
Article
Astronomy & Astrophysics
Ed Bennett, Deog Ki Hong, Ho Hsiao, Jong-Wan Lee, C-J David Lin, Biagio Lucini, Michele Mesiti, Maurizio Piai, Davide Vadacchino
Summary: In this study, we consider the coupling between the Sp(4) gauge theory and Nf = 2 fundamental fermions and nf = 3 antisymmetric fermions in four dimensions. By numerically studying its lattice realization, we find evidence of first-order bulk phase transitions in the three-dimensional space of bare parameters. We also evaluate the patterns of global symmetry breaking and mass spectra of various composite particles. This work lays the foundation for future nonperturbative studies in phenomenologically relevant regions of parameter space.
Article
Physics, Fluids & Plasmas
Nicholas Sale, Jeffrey Giansiracusa, Biagio Lucini
Summary: Using persistent homology and persistence images, this study examines phase transitions in three variants of the two-dimensional XY model. The methodology involves computing persistent homology of lattice spin model configurations and analyzing the fluctuations in logistic regression and k-nearest neighbor models trained on persistence images. Accurate estimates of critical temperature and critical exponent of correlation length are obtained, emphasizing finite-size scaling behavior and quantifiable error.
Article
Astronomy & Astrophysics
Andreas Athenodorou, Ed Bennett, Georg Bergner, Biagio Lucini
Summary: This study presents a major update on investigations of SU(2) gauge theory with one Dirac flavor, including spectrum, Polyakov loops, and anomalous dimension of the fermionic condensate data, confirming the theory is close to the lower boundary of the conformal window for adjoint fermions. It provides important insights into the realization of different infrared scenarios conjectured for this theory.
Article
Astronomy & Astrophysics
Ed Bennett, Jack Holligan, Deog Ki Hong, Jong-Wan Lee, C-J David Lin, Biagio Lucini, Maurizio Piai, Davide Vadacchino
Summary: Motivated by various theoretical considerations, the research team conducted lattice studies of Yang-Mills theories with Sp(2N) gauge groups, measuring string tension and mass spectrum of glueballs. They confirmed the confining potential rising linearly with distance for N = 1, 2, 3, 4 and compared their results with existing literature on other gauge groups, particularly focusing on the large-N limit. Additionally, they found agreement with known values of certain glueball masses and determined the mass of heavier glueball states for the first time in Sp(2N) at finite N, extrapolating the results towards N -> +infinity.
Article
Astronomy & Astrophysics
Dimitrios Bachtis, Gert Aarts, Biagio Lucini
Summary: The paper derives machine learning algorithms from discretized Euclidean field theories, specifically focusing on the phi(4) scalar field theory. It demonstrates the application of these algorithms by minimizing asymmetric distance between probability distributions and deriving neural network architectures. The proposal opens up a new avenue for developing a mathematical and computational framework of machine learning within quantum field theory.
Article
Information Science & Library Science
Yogesh K. Dwivedi, Laurie Hughes, Elvira Ismagilova, Gert Aarts, Crispin Coombs, Tom Crick, Yanqing Duan, Rohita Dwivedi, John Edwards, Aled Eirug, Vassilis Galanos, P. Vigneswara Ilavarasan, Marijn Janssen, Paul Jones, Arpan Kumar Kar, Hatice Kizgin, Bianca Kronemann, Banita Lal, Biagio Lucini, Rony Medaglia, Kenneth Le Meunier-FitzHugh, Leslie Caroline Le Meunier-FitzHugh, Santosh Misra, Emmanuel Mogaji, Sujeet Kumar Sharma, Jang Bahadur Singh, Vishnupriya Raghavan, Ramakrishnan Raman, Nripendra P. Rana, Spyridon Samothrakis, Jak Spencer, Kuttimani Tamilmani, Annie Tubadji, Paul Walton, Michael D. Williams
Summary: The development of artificial intelligence technology has the potential to significantly impact various industries and society as a whole. Industries ranging from finance to healthcare may be disrupted by AI technologies, and it is important to recognize the societal and industrial influence on the pace and direction of AI development.
INTERNATIONAL JOURNAL OF INFORMATION MANAGEMENT
(2021)
Article
Physics, Multidisciplinary
Dimitrios Bachtis, Gert Aarts, Biagio Lucini
Summary: This study presents a novel approach to control properties of statistical systems by including machine learning functions in Hamiltonians. Results show that the predictive function of a neural network can induce order-disorder phase transitions in the Ising model, providing accurate estimates of critical points and critical exponents related to correlation length divergence. This method bridges the gap between machine learning and physics, opening up new possibilities for studying critical behaviors in complex systems.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Astronomy & Astrophysics
Nelson R. F. Braga, Octavio C. Junqueira
Summary: This study investigates the influence of rotation on the transition temperature of strongly interacting matter produced in non-central heavy ion collisions. By using a holographic description of an AdS black hole, the authors extend the analysis to the more realistic case where the matter spreads over a region around the rotational axis. The results show the coexistence of confined and deconfined phases and are consistent with the concept of local temperature in rotating frames developed by Tolman and Ehrenfest.
Article
Astronomy & Astrophysics
Bing Sun, Jiachen An, Zhoujian Cao
Summary: This paper investigates the effect of gravitational constant variation on the propagation of gravitational waves. By employing two analytical methods, the study finds that variations in the gravitational constant result in amplitude and phase corrections for gravitational waves, and the time variation of the gravitational constant can be constrained through the propagation of gravitational waves.
Article
Astronomy & Astrophysics
Abdellah Touati, Zaim Slimane
Summary: This letter presents the first study of Hawking radiation as a tunneling process within the framework of non-commutative gauge theory of gravity. The non-commutative Schwarzschild black hole is reconstructed using the Seiberg-Witten map and the star product. The emission spectrum of outgoing massless particles is computed using the quantum tunneling mechanism. The results reveal pure thermal radiation in the low-frequency scenario, but a deviation from pure thermal radiation in the high-frequency scenario due to energy conservation. It is also found that noncommutativity enhances the correlations between successively emitted particles.
Article
Astronomy & Astrophysics
Shahar Hod
Summary: The travel times of light signals between two antipodal points on a compact star's surface are calculated for two different trajectories. It is shown that, for highly dense stars, the longer trajectory along the surface may have a shorter travel time as measured by asymptotic observers. A critical value of the dimensionless density-area parameter is determined for constant density stars to distinguish cases where crossing through the star's center or following a semi-circular trajectory on the surface has a shorter travel time as measured by asymptotic observers.