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We consider the thermodynamics of the Einstein-Power-Yang-Mills AdS black holes in the context of the gauge-gravity duality. Under this framework, the Newton's gravitational constant and the cosmological constant are varied in the system.…

High Energy Physics - Theory · Physics 2023-04-21 Yun-Zhi Du , Huai-Fan Li , Yang Zhang , Xiang-Nan Zhou , Jun-Xin Zhao

The equation of state of the SU($3$) Yang-Mills theory is determined in the deconfined phase with a precision of about 0.5%. The calculation is carried out by numerical simulations of lattice gauge theory with shifted boundary conditions in…

High Energy Physics - Lattice · Physics 2017-04-28 Leonardo Giusti , Michele Pepe

The high-temperature phase of Yang-Mills theory in Landau gauge is studied using Dyson-Schwinger equations. The propagators of the gluon and the Faddeev-Popov ghosts are obtained at finite and infinite temperature, partially analytically.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Maas

Recent progress in the theory of the electroweak phase transition is discussed. For the Higgs boson mass smaller than the masses of W and Z bosons, the phase transition is of the first order. However, its strength is approximately 2/3 times…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrei Linde

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

High Energy Physics - Phenomenology · Physics 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

We present a measurement of the topological susceptibility in SU(3) Yang-Mills theory through the deconfinement phase transition. An improved operator is used for the topological charge density. A drop by an order of magnitude is observed…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

Abelian theories in three dimensions can have linearly confining phases as a result of monopole-instantons, as shown, for SU(2) Yang-Mills theory broken to its abelian subgroup, by Polyakov. In this article the generalization of this phase…

High Energy Physics - Theory · Physics 2016-11-23 Matthew J. Strassler

We describe a weak coupling realization of the deconfinement transition in gauge theory compactified on $R^3\times S^1$. We consider Yang-Mills theory with a single Weyl fermion of mass $m$ in the adjoint representation of the gauge group.…

High Energy Physics - Lattice · Physics 2013-10-31 Thomas Schaefer

It is generally known for $\mathrm{U}(N)$ gauge theory at finite temperature that phase transitions are manifested by taking the large-$N$ limit. Since the large-$N$ theory undergoes two thermodynamic phase transitions, a nontrivial…

High Energy Physics - Theory · Physics 2024-05-01 Hiromasa Watanabe

We discuss the deconfinement and the CP-breaking phase transitions at $\theta=\pi$ in Yang-Mills theories. The 't Hooft anomaly matching prohibits the confined phase with CP symmetry and requires $T_{dec}(\theta=\pi) \le T_{CP}$, where…

High Energy Physics - Theory · Physics 2020-08-26 Shi Chen , Kenji Fukushima , Hiromichi Nishimura , Yuya Tanizaki

We investigate gauge theories based on the smallest exceptional simple lie group G(2). Our first model considered here is G(2) Yang-Mills coupled to a fundamental Higgs field. In 4 spacetime dimensions we explore the phase diagram of the…

High Energy Physics - Lattice · Physics 2011-11-03 Björn H. Wellegehausen

We study a one-dimensional large-N U(N) gauge theory on a circle as a toy model of higher dimensional Yang-Mills theories at finite temperature. To investigate the profile of the thermodynamical potential in this model, we evaluate a…

High Energy Physics - Theory · Physics 2015-06-05 Takehiro Azuma , Takeshi Morita , Shingo Takeuchi

Composite operators of bare fermion fields evolved along a trajectory on field space by means of flow equations are multiplicatively renormalized. Therefore, even in the case of Wilson fermions, the renormalization of expectation values of…

High Energy Physics - Lattice · Physics 2018-11-07 Georg Bergner , Camilo Lopez , Stefano Piemonte

We present an exploratory study to determine the confinement-deconfinement transition temperature at finite $\theta$, $T_c(\theta)$, for the 4d \SU(2) pure Yang-Mills theory. Lattice numerical simulations are performed on three spatial…

High Energy Physics - Lattice · Physics 2025-02-04 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

We present a study of D=4 supersymmetric Yang-Mills matrix models with SO(3) mass terms based on the Monte Carlo method. In the bosonic models we show the existence of an exotic first/second order transition from a phase with a well defined…

High Energy Physics - Theory · Physics 2012-07-10 Badis Ydri

A Gaussian approximation to the bosonic part of M-(atrix) theory with mass deformation is considered at large values of the dimension $d$. From the perspective of the gauge/gravity duality this action reproduces with great accuracy the…

High Energy Physics - Theory · Physics 2022-01-05 Badis Ydri

We consider the determination of the finite temperature phase transition in the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial and temporal energy density at a physical Wilson flow time. This difference is zero in…

High Energy Physics - Lattice · Physics 2016-11-23 Michèle Wandelt , Francesco Knechtli , Michael Günther

We present work in progress using the Logarithmic Linear Relaxation (LLR) density of states algorithm to analyse first-order phase transitions in pure-gauge SU(N) Yang--Mills theories, focusing on N = 4 and 6. By using the LLR algorithm we…

High Energy Physics - Lattice · Physics 2023-03-03 Felix Springer , David Schaich

A simple variational argument based on the Gaussian Effective Potential (GEP) is put forward to give evidence for mass generation and deconfinement in pure Yang-Mills SU(N) theory. The GEP analysis shows that the massless gaussian vacuum of…

High Energy Physics - Theory · Physics 2018-06-22 Giorgio Comitini

Lattice discretization of the supersymmetric Yang-Mills quantum mechanics is dis cussed. First results of the quenched Monte Carlo simulations, for D=4 and with higher g auge groups (3 <= N <= 8), are presented. We confirm an earlier (N=2)…

High Energy Physics - Lattice · Physics 2017-08-23 P. Bialas , J. Wosiek