Article
Physics, Multidisciplinary
Pietro Longhi
Summary: The paper presents a closed-form expression for the motivic Kontsevich-Soibelman invariant for M theory on the toric Calabi-Yau threefold KF0, encoding the refined Bogomol'nyi-Prasad-Sommerfield spectrum of SU(2) 5D N = 1 Yang-Mills theory on S-1 x R-4, corresponding to rank-zero Donaldson-Thomas invariants for K-F0, anywhere on the Coulomb branch.
PHYSICAL REVIEW LETTERS
(2021)
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
Physics, Particles & Fields
Sajid Ali, Georg Bergner, Camilo Lopez, Istvan Montvay, Gernot Muenster, Stefano Piemonte
Summary: We extend our analysis of bound states in N = 1 supersymmetric Yang-Mills theory by considering baryonic operators composed of three gluino fields. These states are similar to baryons in QCD, but their properties and the fermion line contractions involved in their correlation functions are different due to the difference between gluino and quark fields. In this work, we explain the derivation of these operators and the contractions needed in numerical calculations of their correlators, and provide an initial estimate of the two-point function and the mass of the lightest baryonic state in N = 1 supersymmetric Yang-Mills theory.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Physics, Particles & Fields
F. Caristo, M. Caselle, N. Magnoli, A. Nada, M. Panero, A. Smecca
Summary: In this study, we investigate the infrared dynamics of the three-dimensional SU(2) Yang-Mills theory using the effective string. By combining high-precision lattice simulation results with analytical constraints and predictions from various theories, we derive quantitative bounds on the corrections to the effective string action. The results are consistent with the predictions from the effective string theory, but do not prove the Axionic String Ansatz for this model.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Astronomy & Astrophysics
K. Baskan, S. Kurkcuoglu
Summary: The study examines the sensitivity of dynamics in a minimal Yang-Mills matrix model with the addition of a Chern-Simons term, showing that the system is influenced by the CS coupling and conserved conjugate momentum values. By computing Lyapunov exponents and plotting Poincare sections, the research explores the emerging chaotic dynamics and observes an increase in Lyapunov exponents with non-zero kappa values. Additionally, estimates are given for critical exponents as the system transitions from chaotic to nonchaotic phases with approaching critical values of the conjugate momentum.
Article
Physics, Particles & Fields
C. P. Martin, J. Trampetic, J. You
Summary: In noncommutative SU(N) Yang-Mills theory defined by the theta-exact Seiberg-Witten map, one-loop IR singularities arise from UV/IR mixing, even though there are no ordinary U(1) gauge fields in the theory. This is different from the noncommutative U(N) case, where the two-point part of the effective action involving the ordinary SU(N) fields is not affected by these one-loop IR singularities.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Physics, Multidisciplinary
Nirmalendu Acharyya, Mahul Pandey, Sachindeo Vaidya
Summary: The SU(N) Yang-Mills matrix model allows for self-dual and anti-self-dual instantons, with the index (n(+) - n(-)) representing a new instanton charge T-new. Additionally, the path integral measure is shown to not be invariant under chiral rotation, with axial symmetry broken anomalously and a residual symmetry being a finite group for different types of quarks.
PHYSICAL REVIEW LETTERS
(2021)
Article
Astronomy & Astrophysics
J. J. Toscano, O. Vazquez-Hernandez
Summary: This paper studies the renormalizable extension of a pure Yang-Mills theory with Lorentz violation, focusing on the one-loop structure up to second order in the Lorentz violating coefficients. The beta functions are derived and compared with the first-order results given in the literature. Special attention is given to the beta function beta(g), which is studied in both mass-independent and mass-dependent renormalization schemes. It is found that the Lorentz coefficient (k(AF))(mu) contributes to the beta(g) function only in the mass-dependent scheme, with contributions that are gauge dependent and IR divergent.
Article
Astronomy & Astrophysics
Anna Hasenfratz, Curtis T. Peterson, Jake van Sickle, Oliver Witzel
Summary: Nonperturbative determinations of the renormalization group beta function are crucial for connecting lattice results to perturbative predictions of strongly coupled gauge theories and determining parameters or strong coupling constants.
Article
Physics, Particles & Fields
Ardian Nata Atmaja
Summary: In this paper, we use the BPS Lagrangian method to study BPS monopoles and dyons in the SU(2) Yang-Mills-Higgs model. We obtain the BPS Lagrangian density and generalize it to derive possible generalized Bogomolny's equations. The stability of the solutions is discussed by analyzing the stress-energy-momentum tensor. The results reveal the relationship between scalar fields-dependent couplings and suggest alternative approaches to obtaining generalized BPS dyons.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Mathematics, Applied
Shangshuai Li, Changzheng Qu, Xiangxuan Yi, Da-jun Zhang
Summary: The Cauchy matrix approach is introduced to solve the SU(2) self-dual Yang-Mills equation. New relations are derived from a Sylvester matrix equation coupled with certain dispersion relations, leading to a broad class of explicit solutions of the equation under Yang's formulation.
STUDIES IN APPLIED MATHEMATICS
(2022)
Review
Multidisciplinary Sciences
Roberto Bonezzi, Christoph Chiaffrino, Felipe Diaz-Jaramillo, Olaf Hohm
Summary: This essay justifies its title by discussing a class of Yang-Mills-type theories that include standard Yang-Mills theories and gravity as a double field theory. The framework of homotopy algebras is used, where conventional Yang-Mills theory is represented as the tensor product K circle times g of a 'kinematic' algebra K with a color Lie algebra g. The broader class of Yang-Mills-type theories are given by the tensor product of K with more general Lie-type algebras, including K itself, up to cancelable anomalies when combined with a second copy K over bar. Gravity is then represented by K circle times K over bar.
Article
Mathematics, Applied
Shangshuai Li, Changzheng Qu, Da-jun Zhang
Summary: In this paper, solutions for the SU(N) self-dual Yang-Mills (SDYM) equation with arbitrary N are derived. Noncommutative relations are introduced to construct a matrix equation that can be reduced to the SDYM equation. It is shown that these relations can be generated from two different Sylvester equations, which correspond to the Cauchy matrix schemes for the Kadomtsev-Petviashvili hierarchy and the Ablowitz-Kaup-Newell-Segur hierarchy, respectively. The possible reductions that lead to the SU(N) SDYM equation are investigated in each Cauchy matrix scheme, and the physical significance of some solutions, such as being Hermitian, positive-definite, and having a determinant of one, is analyzed. ©2023 Elsevier B.V. All rights reserved.
PHYSICA D-NONLINEAR PHENOMENA
(2023)
Article
Physics, Particles & Fields
Arghya Chattopadhyay, Suvankar Dutta, Debangshu Mukherjee, Neetu
Summary: In this study, a connection between the time evolution of free Fermi droplets and the partition function of generalised q-deformed Yang-Mills theories on Riemann surfaces is established. The classical phases of (0 + 1) dimensional unitary matrix models can be characterized by free Fermi droplets in two dimensions. The quantization of these droplets reveals that the modes satisfy an abelian Kac-Moody algebra. The correlation between states in H-+/- is proven to be equal to the chiral and anti-chiral partition function of 2d Yang-Mills theory on a cylinder.
Article
Astronomy & Astrophysics
Marco Bochicchio, Mauro Papinutto, Francesco Scardino
Summary: This study calculates the ultraviolet asymptotics of the generating functional of Euclidean correlators and provides a perturbative explanation for its logarithmic structure. By carefully choosing the renormalization scheme, the generating functional is lifted to the renormalization-group improved correlators, which also exhibit the structure of a logarithm of a functional determinant. These findings set strong constraints on the nonperturbative solution of large-N Yang-Mills theory.
Article
Astronomy & Astrophysics
Leonardo Giusti, Michele Pepe
Article
Physics, Particles & Fields
D. Banerjee, M. Bogii, K. Holland, F. Niedermayer, M. Pepe, U. Wenger, U. J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2016)
Article
Astronomy & Astrophysics
Leonardo Giusti, Michele Pepe
Article
Astronomy & Astrophysics
P. de Forcrand, M. Pepe, U. -J. Wiese
Article
Physics, Multidisciplinary
F. Gliozzi, M. Pepe, U. -J. Wiese
PHYSICAL REVIEW LETTERS
(2010)
Article
Physics, Multidisciplinary
Leonardo Giusti, Michele Pepe
PHYSICAL REVIEW LETTERS
(2014)
Article
Physics, Particles & Fields
F. Gliozzi, M. Pepe, U. -J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2010)
Article
Physics, Particles & Fields
W. Bietenholz, U. Gerber, M. Pepe, U. -J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2010)
Article
Physics, Particles & Fields
F. Gliozzi, M. Pepe, U. -J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2011)
Article
Physics, Particles & Fields
J. Balog, F. Niedermayer, M. Pepe, P. Weisz, U. -J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2012)
Article
Physics, Particles & Fields
M. Boegli, F. Niedermayer, M. Pepe, U-J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2012)
Article
Physics, Particles & Fields
Mattia Dalla Brida, Leonardo Giusti, Michele Pepe
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Astronomy & Astrophysics
Mattia Dalla Brida, Leonardo Giusti, Tim Harris, Michele Pepe
Summary: This study aims to solve the precise determination of the Hadronic contribution to the muon anomalous magnetic moment through multi-level Monte Carlo integration, reducing the variance of correlators to accelerate the simulation cost.
Proceedings Paper
Physics, Atomic, Molecular & Chemical
Michele Pepe
T(R)OPICAL QCD 2010
(2011)
Article
Physics, Particles & Fields
W. Bietenholz, M. Boegli, F. Niedermayer, M. Pepe, F. G. Rejon-Barrera, U. -J. Wiese
JOURNAL OF HIGH ENERGY PHYSICS
(2013)