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We study the large-$N$ dynamics of $T\bar{T}$-deformed two-dimensional Yang-Mills theory at genus zero. The 1/$N$-expansion of the free energy is obtained by exploiting the associated flow equation and the complete phase diagram of the…

高能物理 - 理论 · 物理学 2022-11-30 Luca Griguolo , Rodolfo Panerai , Jacopo Papalini , Domenico Seminara

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

高能物理 - 唯象学 · 物理学 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

We present a non-perturbative study of the phase diagram of SU(2) Yang-Mills theory in a five-dimensional spacetime with a compact extra dimension. The non-renormalizable theory is regularized on an anisotropic lattice and investigated…

高能物理 - 格点 · 物理学 2014-11-20 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

We study matrix quantum mechanics at finite temperature by Monte Carlo simulation. The model is obtained by dimensionally reducing 10d U(N) pure Yang-Mills theory to 1d. Following Aharony et al., one can view the same model as describing…

高能物理 - 理论 · 物理学 2008-11-26 Naoyuki Kawahara , Jun Nishimura , Shingo Takeuchi

The N=2* theory (mass deformation of N=4 Super-Yang-Mills) undergoes an infinite number of quantum phase transitions in the large-N limit. The phase structure and critical behavior can be analyzed with the help of supersymmetric…

高能物理 - 理论 · 物理学 2018-12-18 K. Zarembo

We study the four-dimensional Yang-Mills theory in the presence of a three-dimensional membrane of fermions by lattice Monte Carlo simulations. We analyze the phase structure of this theory at finite temperature. Below the phase transition…

高能物理 - 格点 · 物理学 2011-01-13 Arata Yamamoto

We describe the entire phase structure of a large number of colour generalized Yang-Mills theories in 1+1 dimensions. This is illustrated by the explicit computation for a quartic plus quadratic model. We show that the Douglas-Kazakov and…

高能物理 - 理论 · 物理学 2008-11-26 Florian Dubath

The N=2* Super-Yang-Mills theory (SYM*) undergoes an infinite sequence of large-N quantum phase transitions. We compute expectation values of Wilson loops in k-symmetric and antisymmetric representations of the SU(N) gauge group in this…

高能物理 - 理论 · 物理学 2015-02-16 Xinyi Chen-Lin , Konstantin Zarembo

An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+1 dimensional Yang-Mills theory to local evolution of…

高能物理 - 理论 · 物理学 2009-10-31 Pushan Majumdar , H. S. Sharatchandra

The large-group behavior of the nonlocal YM$_2$'s and gYM$_2$'s on a cylinder or a disk is investigated. It is shown that this behavior is similar to that of the corresponding local theory, but with the area of the cylinder replaced by an…

高能物理 - 理论 · 物理学 2011-09-13 Khaled Saaidi , Mohammad Khorrami

The Ising model on annealed complex networks with degree distribution decaying algebraically as $p(K)\sim K^{-\lambda}$ has a second-order phase transition at finite temperature if $\lambda> 3$. In the absence of space dimensionality,…

统计力学 · 物理学 2016-03-16 M. Krasnytska , B. Berche , Yu. Holovatch , R. Kenna

Large $N$ two-dimensional QCD on a cylinder and on a vertex manifold (a sphere with three holes) is investigated. The relation between the saddle-point description and the collective field theory of QCD$_2$ is established. Using this…

高能物理 - 理论 · 物理学 2009-10-28 David J. Gross , Andrei Matytsin

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

高能物理 - 格点 · 物理学 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

We study properties of SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime in which two directions are compactified into a finite two-dimensional torus ${\mathbb T}^2$ while two others constitute a large ${\mathbb R}^2$…

高能物理 - 格点 · 物理学 2019-04-24 M. N. Chernodub , V. A. Goy , A. V. Molochkov

An explicit canonical transformation is constructed to relate the physical subspace of Yang-Mills theory to the phase space of the ADM variables of general relativity. This maps 3+1 dimensional Yang-Mills theory to local evolution of…

高能物理 - 格点 · 物理学 2009-10-31 Pushan Majumdar , H. S. Sharatchandra

We study the two-dimensional gauge theory of the symmetric group S_n describing the statistics of branched n-coverings of Riemann surfaces. We consider the theory defined on the disk and on the sphere in the large-n limit. A non trivial…

高能物理 - 理论 · 物理学 2009-11-07 A. D'Adda , P. Provero

We solve, using localization, for the large-N master field of N=2* super-Yang-Mills theory. From that we calculate expectation values of large Wilson loops and the free energy on the four-sphere. At weak coupling, these observables only…

高能物理 - 理论 · 物理学 2015-06-15 Jorge G. Russo , Konstantin Zarembo

$SU(N)$ Yang-Mills theory in three dimensions, with a Chern-Simons term of level $k$ (an integer) added, has two dimensionful coupling constants, $g^2 k$ and $g^2 N$; its possible phases depend on the size of $k$ relative to $N$. For $k \gg…

高能物理 - 理论 · 物理学 2014-11-18 John M. Cornwall

Recent Holographic studies have shown that N=4 super Yang-Mills theory coupled to fundamental matter with finite chemical potential undergoes a first order phase transition. In this paper, we study Nf D6 probe branes with or without…

高能物理 - 理论 · 物理学 2009-05-20 Shunji Matsuura

We consider M-theory on compact spaces of G_2 holonomy constructed as orbifolds of the form (CY x S^1)/Z_2 with fixed point set \Sigma on the CY. This describes N=1 SU(2) gauge theories with b_1(\Sigma) chiral multiplets in the adjoint. For…

高能物理 - 理论 · 物理学 2009-11-07 P. Kaste , A. Kehagias , H. Partouche