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The effective potential of the order parameter for confinement is calculated for SU(N) Yang--Mills theory in the Hamiltonian approach. Compactifying one spatial dimension and using a background gauge fixing, this potential is obtained…

高能物理 - 理论 · 物理学 2013-10-08 Hugo Reinhardt , Jan Heffner

The framework of shifted boundary conditions has proven to be a very powerful tool for the non-perturbative investigation of thermal quantum field theories. For instance, it has been successfully considered for the determination of the…

高能物理 - 格点 · 物理学 2017-10-26 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

We employ classical thermodynamics to gain information about absolute entropy, without recourse to statistical methods, quantum mechanics or the Third Law of thermodynamics. The Gibbs-Duhem equation yields various simple methods to…

统计力学 · 物理学 2018-09-28 Andrew Steane

The partition function of four dimensional Euclidean, non-supersymmetric SU(2) Yang--Mills theory is calculated in the perturbative and weak coupling regime i.e. in a small open ball about the flat connection (what we call the vicinity of…

高能物理 - 理论 · 物理学 2023-04-11 Gabor Etesi

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 - 唯象学 · 物理学 2011-04-04 Sz. Borsanyi , G. Endrodi , Z. Fodor , S. D. Katz , K. K. Szabo

The entropy change of a (non-equilibrium) Markovian ensemble is calculated from (1) the ensemble phase density $p(t)$ evolved as iterative map, $p(t) = \mathbb{M}(t) p(t- \Delta t)$ under detail balanced transition matrix $\mathbb{M}(t)$,…

统计力学 · 物理学 2007-12-03 John M. Robinson

Confinement remains one the most interesting and challenging nonperturbative phenomenon in non-Abelian gauge theories. Recent semiclassical (for SU(2)) and lattice (for QCD) studies have suggested that confinement arises from interactions…

高能物理 - 唯象学 · 物理学 2021-09-15 Dallas DeMartini , Edward Shuryak

When the multiplicities of particles produced in heavy-ion collisions are fitted to the hadron-resonance-gas model, excluded-volume effects play a significant role. In this work, we study the impact of such effects on the equation of state…

高能物理 - 格点 · 物理学 2017-06-01 Paolo Alba , Wanda Maria Alberico , Alessandro Nada , Marco Panero , Horst Stöcker

We present a novel algorithm to compute the density of states, which is proven to converge to the correct result. The algorithm is very general and can be applied to a wide range of models, in the frameworks of Statistical Mechanics and…

高能物理 - 格点 · 物理学 2014-11-04 R. Pellegrini , K. Langfeld , B. Lucini , A. Rago

The stochastic entropy generated during the evolution of a system interacting with an environment may be separated into three components, but only two of these have a non-negative mean. The third component of entropy production is…

统计力学 · 物理学 2013-05-30 Ian J. Ford , Richard E. Spinney

This paper presents the development of a new entropy-based feature selection method for identifying and quantifying impacts. Here, impacts are defined as statistically significant differences in spatio-temporal fields when comparing…

应用统计 · 统计学 2024-09-27 Jerry Watkins , Luca Bertagna , Graham Harper , Andrew Steyer , Irina Tezaur , Diana Bull

We examine the finite-temperature deconfinement phase transition of (2+1)-dimensional SU(5) Yang-Mills theory via non-perturbative lattice simulations. Unsurprisingly, we find that the transition is of first order, however it appears to be…

高能物理 - 格点 · 物理学 2009-11-11 Kieran Holland

An algorithm to calculate the density of states, based on the well-known Wang-Landau method, is introduced. Independent random walks are performed in different restricted ranges of energy, and the resultant density of states is modified by…

统计力学 · 物理学 2015-06-25 R. E. Belardinelli , V. D. Pereyra

The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with…

高能物理 - 格点 · 物理学 2009-10-22 J. Engels , F. Karsch , K. Redlich

We review and explain essential characteristics of the a priori estimate of the thermal ground state and its excitations in the deconfining phase of SU(2) Quantum Yang-Mills thermodynamics. This includes the spatially central and peripheral…

综合物理 · 物理学 2018-08-07 Ralf Hofmann

We develop new modified cosmological scenarios by applying the first law of thermodynamics at the Universe horizon, utilizing a new entropic functional that generalizes the standard Boltzmann-Gibbs-Shannon entropy. In particular, starting…

广义相对论与量子宇宙学 · 物理学 2026-02-24 G. G. Luciano , E. N. Saridakis

We propose a subvolume method to study the $\theta$ dependence of the free energy density of the four-dimensional SU($N$) Yang-Mills theory on the lattice. As an attempt, the method is first applied to SU(2) Yang-Mills theory at…

高能物理 - 格点 · 物理学 2021-10-07 Ryuichiro Kitano , Ryutaro Matsudo , Norikazu Yamada , Masahito Yamazaki

The thermodynamics of gauge theories on the noncommutative plane is studied in perturbation theory. For U(1) noncommutative Yang-Mills we compute the first quantum correction to the ideal gas free energy density and study their behavior in…

高能物理 - 理论 · 物理学 2009-10-31 G. Arcioni , M. A. Vazquez-Mozo

We quantize a scalar field at finite temperature T in the background of a classical black hole, adopting 't Hooft's ``brick wall'' model with generic mixed boundary conditions at the brick wall boundary. We first focus on the exactly…

高能物理 - 理论 · 物理学 2007-05-23 Giuseppe Milanesi , Mihail Mintchev

The vibrational entropy of a solid at finite temperature is investigated from the perspective of information theory. Ab initio molecular dynamics (AIMD) simulations generate ensembles of atomic configurations at finite temperature from…

统计力学 · 物理学 2022-05-11 Yang Huang , Michael Widom
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