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A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility…

高能物理 - 唯象学 · 物理学 2017-08-23 Ralf Hofmann

Commutative Yang-Mills theories in 1+1 dimensions exhibit an interesting interplay between geometrical properties and U(N) gauge structures: in the exact expression of a Wilson loop with $n$ windings a non trivial scaling intertwines $n$…

高能物理 - 理论 · 物理学 2009-11-07 A. Bassetto , G. Nardelli , A. Torrielli

The Wilson discretization of the dimensionally reduced supersymmetric Yang-Mills theory is constructed. This gives a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for…

高能物理 - 理论 · 物理学 2007-05-23 R. A. Janik , J. Wosiek

We analyze the Hamiltonian time evolution of classical SU(2) Yang-Mills-Higgs theory with a fundamental Higgs doublet on a spacial lattice. In particular, we study energy transfer and equilibration processes among the gauge and Higgs…

高能物理 - 理论 · 物理学 2009-09-02 Ricardo Fariello , Hilmar Forkel

We present an accurate computation of the Equation of State of the SU(3) Yang-Mills theory using shifted boundary conditions in the temporal direction. In this framework, the entropy density s can be obtained in a simple way from the…

高能物理 - 格点 · 物理学 2015-11-13 Leonardo Giusti , Michele Pepe

The idea of treating general relativistic theories in a perturbative expansion around a topological theory has been recently put forward in the quantum gravity literature. Here we investigate the viability of this idea, by applying it to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Carlo Rovelli , Simone Speziale

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

高能物理 - 理论 · 物理学 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold $\mathbb{T}^2\times \mathbb{R}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a…

高能物理 - 唯象学 · 物理学 2023-05-16 Daiki Suenaga , Masakiyo Kitazawa

We study two-dimensional N=(2,2) SU(N) super Yang-Mills theory on Euclidean two-torus using Sugino's lattice regularization. We perform the Monte-Carlo simulation for N=2,3,4,5 and then extrapolate the result to N = infinity. With the…

高能物理 - 格点 · 物理学 2009-10-20 Masanori Hanada , Issaku Kanamori

We study the late-time behavior of spherically symmetric solutions of the Yang-Mills equations on Minkowski and Schwarzschild backgrounds. Using nonlinear perturbation theory we show in both cases that solutions having smooth compactly…

广义相对论与量子宇宙学 · 物理学 2010-11-02 Piotr Bizoń , Tadeusz Chmaj , Andrzej Rostworowski

We consider the (1+1)-dimensional ${\cal N}=(2,2)$ super Yang--Mills theory which is obtained by dimensionally reducing ${\cal N}=1$ super Yang--Mills theory in four dimension to two dimensions. We do our calculations in the large-$N_c$…

高能物理 - 理论 · 物理学 2009-11-10 Motomichi Harada , John R. Hiller , Stephen Pinsky , Nathan Salwen

The renormalization functions involved in the determination of the topological susceptibility in the SU(2) lattice gauge theory are extracted by direct measurements, without relying on perturbation theory. The determination exploits the…

高能物理 - 格点 · 物理学 2009-10-22 Bartomeu Alles , Massimo Campostrini , Adriano Di Giacomo , Yigit Gunduc , Ettore Vicari

We study a series of problems in classical Yang-Mills theories using lattice methods. We first investigate SU(N) self-dual configurations on the torus with twisted boundary conditions. We also study the zero modes of the Dirac equation in…

高能物理 - 格点 · 物理学 2008-11-26 M. Garcia Perez , A. Gonzalez-Arroyo , A. Montero , C. Pena

We consider Yang--Mills theory with a compact structure group $G$ on four-dimensional de Sitter space dS$_4$. Using conformal invariance, we transform the theory from dS$_4$ to the finite cylinder ${\cal I}\times S^3$, where ${\cal…

高能物理 - 理论 · 物理学 2021-09-20 Josh Cork , Emine Şeyma Kutluk , Olaf Lechtenfeld , Alexander D. Popov

We review some recent results related to the notion of volume independence in SU(N) Yang-Mills theories. The topic is discussed in the context of gauge theories living on a d-dimensional torus with twisted boundary conditions. After a brief…

高能物理 - 理论 · 物理学 2014-10-10 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Masanori Okawa

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.…

高能物理 - 格点 · 物理学 2013-10-31 Thomas Schaefer

We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained,…

高能物理 - 理论 · 物理学 2017-08-23 Ralf Hofmann

We introduce a space of distributional one-forms $\Omega^1_\alpha$ on the torus $\mathbf{T}^2$ for which holonomies along axis paths are well-defined and induce H\"older continuous functions on line segments. We show that there exists an…

概率论 · 数学 2019-11-26 Ilya Chevyrev

We consider (2+1)-dimensional Yang-Mills theory on $S^1 \times S^1 \times {\bf R}$ in the framework of a Hamiltonian approach developed by Karabali, Kim and Nair. The deconfining limit in the theory can be discussed in terms of one of the…

高能物理 - 理论 · 物理学 2009-12-22 Yasuhiro Abe

A perturbative regime based on contortion as a dynamical variable and metric as a (classical) fixed background, is performed in the context of a pure Yang-Mills formulation for gravity in a $2+1$ dimensional space-time. In the massless case…

广义相对论与量子宇宙学 · 物理学 2010-11-05 Rolando Gaitan Deveras