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A general approach how to analytically describe and understand $SU(3)$ lattice thermodynamics in the whole temperature range $[0, \infty)$ is formulated and used. It is based on the effective potential approach for composite operators…

高能物理 - 唯象学 · 物理学 2015-09-22 V. Gogokhia , A. Shurgaia , M. Vasúth

In order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles, it is proposed to generalize the effective potential approach for composite operators to non-zero temperatures. It is essentially…

高能物理 - 唯象学 · 物理学 2007-12-04 V. Gogokhia , V. SKokov

The effective potential approach for composite operators has been generalized to non-zero temperatures in order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles. In the absence of external sources it is…

高能物理 - 唯象学 · 物理学 2014-11-18 V. Gogokhia , M. Vasúth

In our previous works the effective potential approach for composite operators has been generalized to non-zero temperature in order to derive the analytical equation of state for pure SU(3) Yang-Mills fields without quark degrees of…

高能物理 - 唯象学 · 物理学 2012-10-20 V. Gogokhia , M. Vasuth

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…

高能物理 - 格点 · 物理学 2017-04-28 Leonardo Giusti , Michele Pepe

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with…

高能物理 - 格点 · 物理学 2017-02-15 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda , Hiroshi Suzuki

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed…

高能物理 - 格点 · 物理学 2015-09-07 Masayuki Asakawa , Tetsuo Hatsuda , Etsuko Itou , Masakiyo Kitazawa , Hiroshi Suzuki

We explore the thermodynamics of the gluon plasma in SU(3) Yang-Mills theory emerging from the non-trivial spatial dynamics of valence gluons. The lattice data suggest that these gluons interact with each other linearly at large spatial…

高能物理 - 唯象学 · 物理学 2010-01-06 D. Antonov , H. -J. Pirner , M. G. Schmidt

The Equation of State and the properties of matter in the high temperature deconfined phase are analyzed by a quasiparticle approach for $T> 1.2~T_c$. In order to fix the parameters of our model we employ the lattice QCD data of energy…

高能物理 - 唯象学 · 物理学 2008-11-26 Paolo Castorina , Massimo Mannarelli

The thermodynamic properties of ${\cal N}=1$ supersymmetric Yang-Mills theory with an arbitrary gauge group are investigated. In the confined range, we show that identifying the bound state spectrum with a Hagedorn one coming from…

高能物理 - 唯象学 · 物理学 2015-09-01 G. Lacroix , C. Semay , F. Buisseret

The equation of state of $SU(3)$ Yang-Mills theory is investigated in the framework of a moving reference frame. Results for the entropy density, the pressure, the energy density, and the trace anomaly are presented for temperatures ranging…

高能物理 - 格点 · 物理学 2016-12-08 Leonardo Giusti , Michele Pepe

We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off…

高能物理 - 格点 · 物理学 2015-06-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

An analytical and nonperturbative approach to SU(2) and SU(3) Yang-Mills thermodynamics is developed and applied. Each theory comes in three phases: A deconfining, a preconfining, and a confining one. We show how macroscopic and inert…

高能物理 - 理论 · 物理学 2010-11-05 Ralf Hofmann

We perform a detailed computation of key quantities across the first-order deconfinement phase transition of the SU(3) Yang-Mills theory. Specifically, we calculate the entropy density, $s(T_c)/T_c^3$, on both sides of the transition and…

高能物理 - 格点 · 物理学 2025-01-28 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

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…

高能物理 - 唯象学 · 物理学 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

The thermodynamics of $SU(2)$ Yang-Mills theory in the covariant variational approach is studied by relating the free action density in the background of a non-trivial Polyakov loop to the pressure of the gluon plasma. The correct…

高能物理 - 理论 · 物理学 2017-10-11 Markus Quandt , Hugo Reinhardt

The properties of the deconfined phase of ${\cal N}=1$ supersymmetric Yang-Mills theory in $(3+1)$-dimensions are studied within a $\cal T$-matrix formulation of statistical mechanics in which the medium under study is seen as a gas of…

高能物理 - 理论 · 物理学 2014-08-22 Gwendolyn Lacroix , Claude Semay , Fabien Buisseret

The pressure, and the energy and entropy densities are determined for the SU(3) gauge theory in $2 + 1$ dimensions from lattice Monte Carlo calculations in the interval $0.6 \leq T/T_c \leq 15$. The finite temperature lattices simulated…

高能物理 - 格点 · 物理学 2008-11-26 P. Bialas , L. Daniel , A. Morel , B. Petersson

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

高能物理 - 唯象学 · 物理学 2013-12-16 Chihiro Sasaki

We present high-precision lattice calculations of the thermodynamics of Yang-Mills theories with different gauge groups. In the confining phase, we show that the equation of state is described remarkably well by a gas of massive,…

高能物理 - 格点 · 物理学 2015-10-06 Alessandro Nada
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