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The deconfinement transition in SU($N_c$) Yang--Mills is investigated by Monte Carlo simulations of the gauge theory discretized on a spacetime lattice. We present new results for $ 4 \le N_c \le 8$ (in particular, for $N_c = 5$ and $N_c =…

High Energy Physics - Lattice · Physics 2013-06-07 Biagio Lucini , Antonio Rago , Enrico Rinaldi

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…

High Energy Physics - Phenomenology · Physics 2012-10-20 V. Gogokhia , M. Vasuth

Configuration transitions of individual molecules and atoms on surfaces are traditionally described with energy barriers and attempt rates using an Arrhenius law. This approach yields consistent energy barrier values, but also attempt rates…

Mesoscale and Nanoscale Physics · Physics 2017-03-03 Jeffrey C. Gehrig , Marcos Penedo , Manfred Parschau , Johannes Schwenk , Miguel A. Marioni , Eric W. Hudson , Hans J. Hug

We study the pressure anisotropy in anisotropic finite-size systems in SU(3) Yang-Mills theory at nonzero temperature. Lattice simulations are performed on lattices with anisotropic spatial volumes with periodic boundary conditions. The…

High Energy Physics - Lattice · Physics 2019-06-05 Masakiyo Kitazawa , Sylvain Mogliacci , Isobel Kolbé , W. A. Horowitz

We define the projected entropy S(T) at a given temperature T in the context of an Ising model transition matrix calculation as the entropy associated with the distribution of Markov chain realizations in energy-magnetization, E-H, space.…

Statistical Mechanics · Physics 2018-10-17 David Yevick

New results on the topology of the SU(2) Yang-Mills theory are presented. At zero temperature we obtain the value of the topological susceptibility by using the recently introduced smeared operators as well as a properly renormalized…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy,…

High Energy Physics - Theory · Physics 2015-07-06 Arnab Kundu

We evaluate the thermodynamic quantities of Yang-Mills theory using the Gribov quantization, which deals with nonperturbative resummation. The magnetic scale is automatically incorporated into the framework and we find it efficient to…

High Energy Physics - Phenomenology · Physics 2013-10-22 Kenji Fukushima , Nan Su

We have computed the two and three-particle contribution to the entropy of a Weeks-Chandler-Andersen fluid via molecular dynamics simulations. The three-particle correlation function and entropy were computed with a new method which…

Statistical Mechanics · Physics 2020-01-08 Luca Maffioli , Nathan Clisby , Federico Frascoli , B. D. Todd

When studied at finite temperature, Yang-Mills theories in $3+1$ dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order -- the $SU(2)$ gauge theory being the exception.…

High Energy Physics - Lattice · Physics 2023-09-25 Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

We propose a novel quasiparticle interpretation of the equation of state of deconfined QCD at finite temperature. Using appropriate thermal masses, we introduce a phenomenological parametrization of the onset of confinement in the vicinity…

High Energy Physics - Phenomenology · Physics 2009-11-07 R. A. Schneider , W. Weise

A simple variational argument based on the Gaussian Effective Potential (GEP) is put forward to give evidence for mass generation and deconfinement in pure Yang-Mills SU(N) theory. The GEP analysis shows that the massless gaussian vacuum of…

High Energy Physics - Theory · Physics 2018-06-22 Giorgio Comitini

We investigate the possible thermalization process of the highly occupied and weakly coupled Yang-Mills fields expanding along the beam axis through an evaluation of the entropy, particle number, and pressure anisotropy. The time evolution…

High Energy Physics - Phenomenology · Physics 2022-06-08 Hidefumi Matsuda , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We present preliminary result for the step-scaling study of the coupling constant with the Yang-Mills gradient flow, in the twelve-favour SU(3) gauge theory. In this work, the lattice simulation is performed using unimproved staggered…

High Energy Physics - Lattice · Physics 2014-11-03 C. -J. David Lin , Kenji Ogawa , Hiroshi Ohki , Alberto Ramos , Eigo Shintani

Using the low energy effective action of the N=2 supersymmetric SU(2) Yang-Mills theory we calculate the free energy at finite temperature, both in the semiclassical region and in the dual monopole/dyon theory. In all regions the free…

High Energy Physics - Theory · Physics 2009-10-31 J. Wirstam

TEK reduction is a well-established technique that allows single-site simulations of Yang-Mills theory in the large-$N_c$ limit by exploiting volume reduction induced by twisted boundary conditions. We performed simulations for $SU(841)$…

High Energy Physics - Lattice · Physics 2023-12-01 Pietro Butti , Antonio Gonzalez-Arroyo

Lattice Field Theory can be used to study finite temperature first-order phase transitions in new, strongly-coupled gauge theories of phenomenological interest. Metastable dynamics arising in proximity of the phase transition can lead to…

High Energy Physics - Lattice · Physics 2022-12-09 David Mason , Biagio Lucini , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

From thermodynamic origins, the concept of entropy has expanded to a range of statistical measures of uncertainty, which may still be thermodynamically significant. However, laboratory measurements of entropy continue to rely on direct…

Statistical Mechanics · Physics 2012-04-24 Paul E. Lammert , Xianglin Ki , Jie Li , Cristiano Nisoli , David M. Garand , Vincent H. Crespi , Peter Schiffer

The free energy density of ${\cal N}=4$ supersymmetric Yang-Mills theory in four space-time dimensions is derived through second order in the 't Hooft coupling $\lambda$ at finite temperature using effective-field theory methods. The…

High Energy Physics - Theory · Physics 2022-01-07 Jens O. Andersen , Qianqian Du , Michael Strickland , Ubaid Tantary

At finite temperature the free energy density of ${\cal N}=4$ supersymmetric Yang-Mills can be calculated using resummed perturbation theory through the order $\lambda^{5/2}$. Effective field theory methods provide a useful alternative…

High Energy Physics - Theory · Physics 2022-05-20 Ubaid Tantary , Jens O. Andersen , Qianqian Du , Michael Strickland