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Discrete symmetries in grand canonical ensembles and in ensembles canonical with respect to triality are investigated. We speculate about the general phase structure of finite temperature gauge theories with discrete $Z(N)$ symmetry. Low…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Faber , O. Borisenko , G. Zinovjev

We study the phase structure of full QCD within the canonical ensemble with respect to triality in a lattice formulation. The procedure for the calculation of the effective potentials in this case is given. As an example we consider the…

高能物理 - 格点 · 物理学 2008-11-26 O. Borisenko , M. Faber , G. Zinovjev

The phase structure of hot gauge theories with dynamical matter fields is reexamined in the canonical ensemble with respect to triality. Since this ensemble implies a projection to the zero triality sector of the theory we introduce a…

高能物理 - 格点 · 物理学 2007-05-23 O. Borisenko , M. Faber , G. Zinovjev

The phase structure of hot gauge theories with dynamical matter fields is reexamined in the canonical ensemble with respect to triality. We discuss properties of chromoelectric and chromomagnetic sectors of the theory and show whereas…

高能物理 - 格点 · 物理学 2008-11-26 O. Borisenko , M. Faber , G. Zinovjev

We examine the role of the center Z(N) of the gauge group SU(N) in gauge theories. In this pedagogical article, we discuss, among other topics, the center symmetry and confinement and deconfinement in gauge theories and associated…

高能物理 - 唯象学 · 物理学 2016-11-23 K. Holland , U. -J. Wiese

The confinement-deconfinement phase transition is explored by lattice numerical simulations in non-compact (2+1)-dimensional quantum electrodynamics with massive fermions at finite temperature. The existence of two phases, one with and the…

高能物理 - 格点 · 物理学 2008-12-18 Roberto Fiore , Pietro Giudice , Alessandro Papa

While the grand canonical partition function Z_{GC}(mu) with chemical potential mu explicitly breaks the Z_3 symmetry with the Dirac determinant, the canonical partition function at fixed baryon number Z_C(B) is manifestly Z_3-symmetric. We…

高能物理 - 格点 · 物理学 2009-11-10 Slavo Kratochvila , Philippe de Forcrand

The coupling between fermionic matter and gauge fields plays a fundamental role in our understanding of nature, while at the same time posing a challenging problem for theoretical modeling. In this situation, controlled information can be…

强关联电子 · 物理学 2020-06-05 Lukas Janssen , Wei Wang , Michael M. Scherer , Zi Yang Meng , Xiao Yan Xu

In quantum chromodynamics with static quarks the confinement-deconfinement phase transition is connected to the spontaneous breaking of the global Z3 center symmetry. This symmetry is lost when one considers dynamical quarks. Owing to the…

高能物理 - 格点 · 物理学 2013-11-18 Philipp Scior , Sam R. Edwards , Lorenz von Smekal

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…

高能物理 - 理论 · 物理学 2024-05-01 Hiromasa Watanabe

We investigate the deconfining phase transition in SU(3) pure gauge theory and in full QCD with two flavors of staggered fermions by means of a gauge invariant thermal partition functional. In the pure gauge case our finite size scaling…

高能物理 - 格点 · 物理学 2008-11-26 P. Cea , L. Cosmai , M. D'Elia

QCD at non-zero baryon density is expected to have a critical point where the zero-density cross-over turns into a first order phase transition. To identify this point we scan the density-temperature space using a canonical ensemble method.…

高能物理 - 格点 · 物理学 2009-04-14 Anyi Li , Xiangfei Meng , Andrei Alexandru , Keh-Fei Liu

QCD at zero baryon density in the limit of infinite quark mass undergoes a first order deconfinement phase transition at a critical temperature $T_c$ corresponding to the breaking of the global centre symmetry. In the presence of dynamical…

高能物理 - 格点 · 物理学 2016-09-20 Christopher Czaban , Owe Philipsen

We analyze the finite temperature phase diagram of$QC$ with fermions in the adjoint representation. The simulations performed with four dynamical Majorana fermions show that the deconfinement and chiral phase transitions occur at two…

高能物理 - 格点 · 物理学 2009-10-31 Frithjof Karsch , Martin Lütgemeier

A class of large N SU(N) gauge theories on a compact manifold S^3 X R (with possible inclusion of adjoint matter) is known to show first order deconfinement transition at the deconfinement temperature. This includes the familiar example of…

高能物理 - 理论 · 物理学 2008-11-26 Pallab Basu , Anindya Mukherjee

Using Quantum Monte Carlo simulations, we study a series of models of fermions coupled to quantum Ising spins on a square lattice with $N$ flavors of fermions per site for $N=1,2$ and $3$. The models have an extensive number of conserved…

强关联电子 · 物理学 2016-12-21 F. F. Assaad , T. Grover

We consider the difficulties of finite density QCD from the canonical formalism. We present results for small baryon numbers, where the sign problem can be controlled, in particular by supplementing the mu=0 sampling with imaginary mu…

高能物理 - 格点 · 物理学 2009-11-10 Slavo Kratochvila , Philippe de Forcrand

Paradigm shift in gauge topology at finite temperatures, from the instantons to their constituents -- instanton-dyons -- has recently lead to studies of their ensembles and very significant advances. Like instantons, they have fermionic…

高能物理 - 格点 · 物理学 2018-04-18 E. Shuryak

We give another derivation of quark confinement in QCD from the viewpoint of the low-energy effective Abelian gauge theory of QCD obtained via Abelian projection. It is based on the recently discovered Berezinskii-Kosterlitz-Thouless phase…

高能物理 - 理论 · 物理学 2009-10-31 Kei-Ichi Kondo

We study analytically the phase diagram of the pure $SU(N)$ lattice gauge theory at finite temperature, and we attempt to estimate the critical deconfinement temperature. We apply large $N$ techniques to the Wilson and to the Heat Kernel…

高能物理 - 格点 · 物理学 2009-10-22 M. Billo' , M. Caselle , A. D'Adda , L. Magnea , S. Panzeri
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