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The phase diagram of large Nc, weakly-coupled N=4 supersymmetric Yang-Mills theory on a three-sphere with non-zero chemical potentials is examined. In the zero coupling limit, a transition line in the mu-T plane is found, separating a…

高能物理 - 理论 · 物理学 2009-11-11 Daisuke Yamada , Laurence G. Yaffe

When mass-deformed ABJM theory is considered on S(3), the partition function of the theory localises and is given by a matrix model. We solve this model at large-N in the decompactification limit, where the radius of the three-sphere is…

高能物理 - 理论 · 物理学 2015-06-22 Louise Anderson , Konstantin Zarembo

We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills theory…

高能物理 - 理论 · 物理学 2020-07-15 Yuhma Asano , Samuel Kováčik , Denjoe O'Connor

Recently lattice simulation in pure Yang-Mills theory exposes significant quadratic corrections for both the thermodynamic quantities and the renormalized Polyakov loop in the deconfined phase. These terms are previously found to appear…

高能物理 - 理论 · 物理学 2015-05-11 Fen Zuo , Yi-Hong Gao

The topological theory of phase transitions has its strong point in two theorems proving that, for a wide class of physical systems, phase transitions necessarily stem from topological changes of some submanifolds of configuration space. It…

统计力学 · 物理学 2016-02-04 Matteo Gori , Roberto Franzosi , Marco Pettini

The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results in a physical configuration space with a non-Hausdorff…

高能物理 - 理论 · 物理学 2015-06-26 I. Bengtsson , J. Hallin

We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the…

高能物理 - 理论 · 物理学 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

A hermitian one-matrix model with an even quartic potential exhibits a third-order phase transition when the cuts of the matrix model curve coalesce. We use the known solutions of this matrix model to compute effective superpotentials of an…

高能物理 - 理论 · 物理学 2015-06-26 Hiroyuki Fuji , Shun'ya Mizoguchi

Phase transitions are studied in $M$-theory and $F$-theory. In $M$-theory compactification to five dimensions on a Calabi-Yau, there are topology-changing transitions similar to those seen in conformal field theory, but the non-geometrical…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten

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 the phase structure of four-dimensional N=1 super Yang-Mills theories realized on D6-branes wrapping the RP^3 of a Z_2 orbifold of the deformed conifold. The non-trivial fundamental group of RP^3 allows for the gauge group to be…

高能物理 - 理论 · 物理学 2010-12-03 Kazuo Hosomichi , David C. Page

We numerically investigate the phase structure of pure SO(3) LGT at zero and non-zero temperature in the presence of a Z2 blind monopole chemical potential. The physical meaning of the different phases, a possible symmetry breaking…

高能物理 - 格点 · 物理学 2014-11-17 A. Barresi , G. Burgio , M. Muller-Preussker

We investigate the $(2+1)$-dimensional $q$-deformed $\mathrm{SU}(N)_k$ Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the number of colors $N$, the coupling constant $g$, and the level…

高能物理 - 格点 · 物理学 2026-01-08 Tomoya Hayata , Yoshimasa Hidaka , Hiromasa Watanabe

We explore phases of N=2 super Yang-Mills theory at finite quark density by introducing quark chemical potential in a D3-D7 setup. We formulate the thermodynamics of brane embeddings and find that we need to renormalize the finite chemical…

高能物理 - 理论 · 物理学 2011-08-31 Shin Nakamura , Yunseok Seo , Sang-Jin Sin , K. P. Yogendran

We examine the phase structure of massive Yang-Mills theory in 1+1 dimensions. This theory is equivalent to a gauged principal chiral sigma model. It has been previously shown that the gauged theory has only a confined phase, and no Higgs…

高能物理 - 格点 · 物理学 2015-12-22 Axel Cortés Cubero

We show that all of the relevant features of a phase transition can be determined using a non order parameter field which is a physical state of the theory. This fact allows us to understand the deconfining transition of the pure Yang-Mills…

高能物理 - 唯象学 · 物理学 2009-11-10 Agnes Mocsy , Francesco Sannino , Kimmo Tuominen

The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

高能物理 - 理论 · 物理学 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

Phase Transition is associated with a drastic change in some observable (ordered parameter) of the system when the controlled parameter is tuned smoothly. Lee-Yang theory of phase transition is discussed which is related to the accumulation…

统计力学 · 物理学 2022-05-10 Shoaib Akhtar

We consider two-dimensional ${\cal N} = (2, 2)$ Yang--Mills theory with gauge group SU($N$) in Euclidean signature compactified on a torus with thermal fermion boundary conditions imposed on one cycle. We perform non-perturbative lattice…

高能物理 - 格点 · 物理学 2024-09-17 Navdeep Singh Dhindsa , Raghav G. Jha , Anosh Joseph , David Schaich

The 3+1 dimensional Yang-Mills theory with the Pontryagin term included is studied on manifolds with a boundary. Based on the geometry of the universal bundle for Yang-Mills theory, the symplectic structure of this model is exhibited. The…

高能物理 - 理论 · 物理学 2016-09-06 Gerald KELNHOFER