Article
Astronomy & Astrophysics
David Dudal, David Vercauteren
Summary: In our previous work, we developed an effective potential approach for the Gribov-Zwanziger model at zero temperature, considering both the restriction to the first Gribov region and the effect of dynamical dimension-two vacuum condensates. In this study, we investigate the model at finite temperature with a background gauge field, allowing access to the Polyakov loop expectation value and the Yang-Mills (de)confinement phase structure. We compare two methods proposed in the literature, one based on a dressed, Becchi-Rouet-Stora-Tyutin invariant, gluon field and the other based on a Wilson-loop dressed Gribov-Zwanziger auxiliary field sector. The latter method performs better in estimating the critical temperature and predicting the order of the transition.
Article
Astronomy & Astrophysics
M. A. L. Capri, S. P. Sorella, R. C. Terin
Summary: In the refined Gribov-Zwanziger setup, a composite BRST invariant fermionic operator coupled to the inverse of the Faddeev-Popov operator is introduced, leading to the construction of an effective BRST invariant action in Euclidean space-time. This enables the study of the behavior of the fermion propagator in the infrared region within the class of linear covariant gauges. The aforementioned action is proven to be renormalizable to all orders through the algebraic renormalization procedure.
Article
Astronomy & Astrophysics
E. Gotsman, Yu P. Ivanov, E. Levin
Summary: This paper investigates a new evolution equation for high energy scattering amplitude from the Gribov-Zwanziger approach, finding that the energy dependence is similar to QCD BFKL evolution, the spectrum is independent of the approach details, and all eigenfunctions coincide with QCD BFKL equation at large transverse momenta. Numerical calculations show no new eigenvalues decreasing faster than solutions of QCD BFKL equation, suggesting that the Gribov-Zwanziger approach solves the theoretical problem of behavior at large impact parameters without affecting the scattering amplitude.
Article
Astronomy & Astrophysics
Wan Wu, Guojun Huang, Jiaxing Zhao, Pengfei Zhuang
Summary: The interaction potential between heavy quarks is calculated using the resummed perturbation method in the Gribov-Zwanziger approach around the deconfinement phase transition. The complex potential is a result of the resummed loop correction, where the real part is suppressed by color screening and becomes short-ranged at high temperatures, while the imaginary part is enhanced through decay processes in a hot medium and becomes comparable to the real part around the phase transition. The strong imaginary potential, originating from the magnetic scale in the GZ approach, shows the importance of both color screening and decay processes in quarkonium dissociation in high-energy nuclear collisions.
Article
Astronomy & Astrophysics
Sadaf Madni, Arghya Mukherjee, Aritra Bandyopadhyay, Najmul Haque
Summary: In this study, we estimate the heavy quark diffusion coefficient based on the Gribov-Zwanziger prescription. By incorporating the modified gluon propagator in the analysis, we find a reasonable agreement with the existing lattice estimations of kappa within the model uncertainties.
Article
Astronomy & Astrophysics
E. Gotsman, E. Levin
Summary: In this paper, the high energy evolution equation in the Gribov-Zwanziger approach for the confinement of quarks and gluons is derived, addressing the main difficulties of the color glass condensate high energy effective theory. The new equation leads to an exponential decrease of the scattering amplitude at large impact parameter and the formation of a Froissart disc with increasing radius proportional to Y = ln(1/x).
Article
Astronomy & Astrophysics
Gustavo P. de Brito, Philipe De Fabritiis, Antonio D. Pereira
Summary: The refined Gribov-Zwanziger (RGZ) action in the Landau gauge explains the existence of infinitesimal Gribov copies and the formation of condensates in the infrared of Euclidean Yang-Mills theories. The one-loop scalar propagator in the adjoint representation of the gauge group coupled to the RGZ action is computed and compared with existing lattice data. The study finds good agreement between the lattice data of the scalar propagator and the values of the mass parameters that fit the RGZ gluon propagator to the lattice, suggesting that the nonperturbative information carried by the gluon propagator in the RGZ framework provides a suitable mechanism to reproduce the behavior of correlation functions of colored matter fields in the infrared.
Article
Computer Science, Interdisciplinary Applications
Javier Rivero-Rodriguez, Miguel Perez-Saborid, Benoit Scheid
Summary: The article discusses solving physical problems with partial differential equations in unknown domains using the Arbitrary Lagrangian-Eulerian (ALE) method, and introduces the Differential Boundary Arbitrary Lagrangian-Eulerian (DBALE) method, which is based on the boundary displacement satisfying a boundary partial differential equation, problem-independent, and leading to uniform mesh deformation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Astronomy & Astrophysics
Sumit, Najmul Haque, Binoy Krishna Patra
Summary: The screening masses of mesons provide a gauge invariant and definite order parameter for chiral symmetry restoration. The correlation lengths of different mesonic flavors have been calculated using perturbative and non-perturbative resummation techniques. The spatial correlation lengths of various mesonic observables have been studied using non-perturbative Gribov resummation.
Article
Thermodynamics
Yang Yan, Alfonso Pagani, Erasmo Carrera
Summary: The thermal buckling behavior of metallic and laminated beams/plates is investigated using a linearized stability analysis. Different types of stability equations are derived by selecting different reference frames and using arbitrary expansion of generalized variables. The validity of these models is confirmed through validation with commercial software and the effect of strain distribution on plate-like structures is evaluated.
JOURNAL OF THERMAL STRESSES
(2022)
Article
Mathematics, Applied
Huixian Wu, Hezhi Luo, Fangying Zheng, Jianfang Yang
Summary: This paper introduces new convergence properties of primal-dual methods based on the pth power Lagrangian function for inequality-constrained nonconvex optimization problems. By proposing modified algorithms based on different strategies, the same convergence can be ensured under weaker conditions, providing a new approach for solving nonconvex optimization problems.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Astronomy & Astrophysics
Igor F. Justo, Antonio D. Pereira, Rodrigo F. Sobreiro
Summary: In this paper, we introduce a background gauge for the quantization of Euclidean Yang-Mills theories, which is deformed by the presence of a gauge parameter. This gauge allows us to explicitly investigate the effects of infinitesimal Gribov copies and their impact on the background and gauge parameter dependence. We construct a BRST symmetric action in this gauge, eliminating regular infinitesimal Gribov copies similar to the recently introduced BRST invariant Gribov-Zwanziger action. The issue of background dependence and its relation to gauge parameter dependence is discussed in the context of nonperturbative effects driven by the elimination of Gribov copies.
Article
Chemistry, Multidisciplinary
Maurizio Petrozziello, Laura Rosso, Chiara Portesi, Andriani Asproudi, Federica Bonello, Tiziana Nardi, Andrea Mario Rossi, Consolato Schiavone, Stefano Scuppa, Simone Cantamessa, Matteo Pollon, Pier Mario Chiarabaglio
Summary: This study investigated the use of unconventional wood formats in the production of distilled spirits and evaluated their effects on grape pomace distillate. The results showed that the toasting level and wood assortment influenced the release of aroma compounds, with sliced wood producing higher levels of volatile secondary metabolites. Analysis using NIR, NMR, and e-nose also demonstrated differences among different wood types, with e-nose showing promise as a simple and portable alternative to spectroscopic methods.
APPLIED SCIENCES-BASEL
(2022)
Article
Astronomy & Astrophysics
D. Fiorentini, D. R. Junior, L. E. Oxman, G. M. Simoes, R. F. Sobreiro
Summary: Based on a new procedure, it is argued that Singer's theorem suggests the existence of a Yang-Mills ensemble, with gauge fields mapped into an auxiliary field space to determine sectors labeled by center vortices. The study provides examples of configurations belonging to different sectors, discusses the importance of non-Abelian degrees of freedom, and shows that the examples are free from Gribov copies.
Article
Computer Science, Interdisciplinary Applications
M. Nazem, M. H. Moavenian
Summary: This study presents four remeshing techniques for analyzing problems with large deformations, aiming to reduce mesh distortion. The performance of these techniques is comprehensively studied using specific mesh quality metrics.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Physics, Particles & Fields
J. A. Gracey
EUROPEAN PHYSICAL JOURNAL C
(2020)
Article
Astronomy & Astrophysics
J. A. Gracey
MODERN PHYSICS LETTERS A
(2020)
Article
Physics, Multidisciplinary
J. A. Gracey, R. H. Mason
Summary: This study determines the anomalous dimensions of the gluon, Faddeev-Popov ghost, and quark in the minimal momentum subtraction scheme up to five loops, considering a general colour group in quantum chromodynamics. The quark mass anomalous dimension is also constructed in the same scheme.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Astronomy & Astrophysics
J. A. Gracey, R. H. Mason, Thomas A. Ryttov, R. M. Simms
Summary: We analyze the fixed points of QCD at high loop order in different renormalization schemes and gauges. We find that the Banks-Zaks fixed point solutions persist in the minimal momentum subtraction scheme for lower values of Nf than in the MS scheme in the canonical linear covariant gauge. By considering the parameter of the linear covariant gauge as a second coupling constant, we confirm the existence of a second Banks-Zaks twin critical point that is infrared stable, up to five loops. We also observe a similar infrared stable fixed point in the CurciFerrari and maximal Abelian gauges, which persists in different schemes including kinematic ones. We show that the critical exponent estimates improve in convergence and agreement across various schemes with increased loop order.
Article
Physics, Particles & Fields
J. A. Gracey
Summary: In this study, we construct the five loop anomalous dimensions of the basic fields in Quantum Chromodynamics in a linear covariant gauge in the modified RI' scheme. Using these core results, we also compute the four loop Green's function with separate insertions of the quark mass operator and vector current in a quark 2-point function. These calculations are essential for measurements of the same quantities on the lattice. The results are available in both the modified Minimal Subtraction ((SIC)(SIC)) and RI' schemes, and for a general Lie group.
EUROPEAN PHYSICAL JOURNAL C
(2023)
Article
Astronomy & Astrophysics
J. A. Gracey
Summary: In this study, the local composite operator method is employed to construct the three loop effective potential for the dimension two operator in quantum chromodynamics. For SU(3), it is shown that the three loop value of the effective mass of the gluon is similar to the two loop estimates when the number of massless quarks is strictly less than five.
Article
Astronomy & Astrophysics
J. A. Gracey
Summary: We calculate the four-loop results in both the MS and RI' schemes to assist in matching lattice field theory results to the high energy continuum limit. The tensor current anomalous dimension is also calculated to four loops for an arbitrary color group in both schemes.
Article
Physics, Particles & Fields
J. A. Gracey
Summary: In this paper, we investigate the renormalization of models with scalar chiral super-fields and odd superpotentials to multiple orders in perturbation theory. These extensions of the cubic Wess-Zumino model are shown to be renormalizable in rational spacetime dimensions. Moreover, if the models possess an O(N) symmetry, it is demonstrated that they share the same emergent OSp(1 vertical bar n -1) symmetry as their non-supersymmetric counterparts at a specific fixed point, even beyond the established loop order in the parallel non-supersymmetric theory.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Astronomy & Astrophysics
J. A. Gracey
Summary: In this study, the Wess-Zumino model is renormalized at five loops, and some generalizations of the model are considered. Critical exponents are calculated with the new loop order precision and compared with conformal bootstrap estimates.
Article
Astronomy & Astrophysics
Nahuel Barrios, John A. Gracey, Marcela Pelaez, Urko Reinosa
Summary: In the Curci-Ferrari (CF) model, gluon and ghost dressing functions are well described by a perturbative approach, while the quark dressing function requires two-loop order. Interestingly, there is much less tension between the nonperturbative quark-mass function and the two-loop CF dressing functions.
Article
Astronomy & Astrophysics
M. Borinsky, J. A. Gracey, M. Kompaniets, O. Schnetz
Summary: Researchers applied the method of graphical functions extended to six dimensions to scalar theories, calculating the beta function, wave function anomalous dimension, and mass anomalous dimension in the (MS) over bar scheme to five-loops. The corresponding renormalization group functions for the Lee-Yang edge singularity problem and percolation theory were derived from the results. Improved exponent estimates in three, four, and five dimensions were obtained through resummation technology after determining the epsilon expansions of the respective critical exponents to O(epsilon(5)).
Article
Materials Science, Multidisciplinary
Shouryya Ray, Bernhard Ihrig, Daniel Kruti, John A. Gracey, Michael M. Scherer, Lukas Janssen
Summary: This study characterizes the quantum critical behavior of the Gross-Neveu-SO(3) universality class using three complementary field-theoretical techniques, and obtains estimates for the correlation-length exponent, order-parameter anomalous dimension, and fermion anomalous dimension. The results are obtained by averaging over different techniques and the uncertainty displayed represents the degree of consistency among the methods.
Article
Astronomy & Astrophysics
J. A. Gracey
Summary: The text discusses the computation of the O(1/N-3) correction to the critical exponent eta in the chiral XY or chiral Gross-Neveu model in d-dimensions. It explains the difficulty with applying the large N conformal bootstrap formalism directly due to the vanishing leading order vertex anomalous dimension, and how considering the Nambu-Jona-Lasinio model for a general non-Abelian Lie group helps in providing improved estimates for eta in the three-dimensional chiral XY model.
Article
Astronomy & Astrophysics
John A. Gracey, Thomas A. Ryttov, Robert Shrock
Article
Astronomy & Astrophysics
J. A. Gracey
