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High-temperature resummed perturbation theory is plagued by poor convergence properties. The problem appears for theories with bosonic field content such as QCD, QED or scalar theories. We calculate the pressure as well as other…

High Energy Physics - Phenomenology · Physics 2016-09-06 J. Berges , Sz. Borsanyi , U. Reinosa , J. Serreau

We construct and study a dimensionally reduced effective theory for high-temperature SU(2) Yang-Mills theory that respects all the symmetries of the underlying theory. Our main motivation is to study, whether the correct treatment of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ph. de Forcrand , A. Kurkela , A. Vuorinen

We present a measurement of the topological susceptibility in SU(3) Yang-Mills theory through the deconfinement phase transition. An improved operator is used for the topological charge density. A drop by an order of magnitude is observed…

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

We apply the previously-developed sub-volume method to study the $\theta$-dependence of the four-dimensional SU(2) Yang-Mills theory at finite temperature. We calculate the first two coefficients, the topological susceptibility $\chi$ and…

High Energy Physics - Lattice · Physics 2024-06-26 Norikazu Yamada , Masahito Yamazaki , Ryuichiro Kitano

Previous calculations of the thermal beta-function in a hot Yang--Mills gas at the one--loop level have exposed problems with the gauge dependence and with the sign, which is opposite to what one would expect for asymptotic freedom. We show…

High Energy Physics - Phenomenology · Physics 2016-08-24 Per Elmfors , Randy Kobes

We present a non-perturbative study of the equation of state in the deconfined phase of Yang-Mills theories in D=2+1 dimensions. We introduce a holographic model, based on the improved holographic QCD model, from which we derive a…

High Energy Physics - Theory · Physics 2012-05-29 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Umut Gürsoy , Marco Panero , Andreas Schäfer

We study the deconfining phase transition in 3+1 dimensional pure SU(N) Yang-Mills theory using a gauge invariant variational calculation. We generalize the variational ansatz of Phys. Rev. D52, 3719 (1995) to mixed states (density…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. I. Kogan , A. Kovner , J. G. Milhano

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. We elucidate what is the mechanism for quark confinement…

High Energy Physics - Theory · Physics 2015-09-30 Kei-Ichi Kondo

We investigate the deconfinement transition of static quarks in SU(N) Yang-Mills theories using a perturbative approach based on a massive extension of the Landau-DeWitt gauge-fixed action, where the gluon mass term is related to the issue…

High Energy Physics - Theory · Physics 2015-05-18 Julien Serreau

We present an accurate computation of the Equation of State of the SU(3) Yang-Mills theory using shifted boundary conditions in the temporal direction. In this framework, the entropy density s can be obtained in a simple way from the…

High Energy Physics - Lattice · Physics 2015-11-13 Leonardo Giusti , Michele Pepe

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

High Energy Physics - Phenomenology · Physics 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

First-order phase transitions in the early universe might produce a detectable background of gravitational waves. As these phase transitions can be generated by new physics, it is important to quantify these effects. Many pure Yang-Mills…

High Energy Physics - Lattice · Physics 2023-10-04 David Mason , Biagio Lucini , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

The [dual] string tension of a spatial 't Hooft loop in the deconfined phase of Yang-Mills theory can be formulated as the tension of an interface separating different Z_N deconfined vacua. We review the 1-loop perturbative calculation of…

High Energy Physics - Lattice · Physics 2009-11-11 Philippe de Forcrand , David Noth

We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

High Energy Physics - Lattice · Physics 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

We investigate the connection between Color Confinement and thermal Abelian monopoles populating the deconfined phase of SU(2) Yang-Mills theory, by studying how the statistical properties of the monopole ensemble change as the…

High Energy Physics - Lattice · Physics 2010-05-25 Alessio D'Alessandro , Massimo D'Elia , Edward Shuryak

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its preconfining (magnetic) phase. We focus on an explanation of the involved concepts and derivations, and we…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

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…

High Energy Physics - Theory · Physics 2014-08-22 Gwendolyn Lacroix , Claude Semay , Fabien Buisseret

In the lattice work by Miller [1,2] and in the work by Zwanziger [3] a linear growth of the trace anomaly for high temperatures was found in pure SU(2) and SU(3) Yang-Mills theories. These results show the remarkable property that the…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Giacosa , Ralf Hofmann

The one-loop effective energy density of a pure SU(2) Yang-Mills theory in the Savvidy background, at finite temperature and chemical potential is examined with emphasis on the unstable modes. After identifying the stable and unstable…

High Energy Physics - Theory · Physics 2008-11-26 R. Parthasarathy , Alok Kumar

We study, by means of numerical lattice simulations, the properties of the reconfinement phase transition taking place in trace deformed $SU(3)$ Yang-Mills theory defined on $\mathbb{R}^3\times S^1$, in which center symmetry is recovered…

High Energy Physics - Lattice · Physics 2021-02-24 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Matteo Giordano , Fabrizio Mazziotti