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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 Polyakov loop variable serves as an order parameter to characterize the confined and deconfined phases of Yang-Mills theory. By integrating out the vector fields in the SU(2) Yang-Mills partition function in one-loop approximation, an…

High Energy Physics - Theory · Physics 2009-10-30 Michael Engelhardt , Hugo Reinhardt

We study the finite-temperature behavior of the A^2 condensate in the Landau gauge of SU(2) Yang--Mills theory on the lattice in a wide range of temperatures. The asymmetry between the electric (temporal) and magnetic (spatial) components…

High Energy Physics - Lattice · Physics 2009-09-10 M. N. Chernodub , E. -M. Ilgenfritz

The thermal confinement phase transition (PT) in $SU(N)$ Yang-Mills theory is first-order for $N\geq 3$, with bounce action scaling as $N^2$. Remarkably, lattice data for the action include a small coefficient whose presence likely strongly…

High Energy Physics - Phenomenology · Physics 2026-02-02 Prateek Agrawal , Gaurang Ramakant Kane , Vazha Loladze , John March-Russell

Confinement in non-Abelian gauge theories is commonly ascribed to percolation of magnetic monopoles, or strings in the vacuum. At the deconfinement phase transition the condensed magnetic degrees of freedom are released into gluon plasma as…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. N. Chernodub , V. I. Zakharov

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

It has long argued that confinement in non-Abelian gauge theories, such as QCD, can be account for by analogy with typed II superconductivity. In this paper, we show that it is possible to arrive at an effective dual Abelian-Higgs model,…

High Energy Physics - Theory · Physics 2007-05-23 Duoje Jia

A center vortex model for the infrared sector of SU(4) Yang-Mills theory is constructed such as to reproduce both the ratio between the zero-temperature quark and diquark string tensions known from lattice Yang-Mills theory, as well as the…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Engelhardt

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…

High Energy Physics - Phenomenology · Physics 2013-12-16 Chihiro Sasaki

We consider SU(2) Yang-Mills theory in 1+1 dimensions coupled to massless adjoint fermions. With all fields in the adjoint representation the gauge group is actually SU(2)/Z_2, which possesses nontrivial topology. In particular, there are…

High Energy Physics - Theory · Physics 2009-10-30 S. Pinsky

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

We examine in non-Abelian gauge theory the heavy quark limit in the presence of the (anti-)self-dual homogeneous background field and see that a confining potential emerges, consistent with the Wilson criterion, although the potential is…

High Energy Physics - Theory · Physics 2009-10-31 G. V. Efimov , A. C. Kalloniatis , S. N. Nedelko

We elucidate how Quantum Thermodynamics at temperature $T$ emerges from pure and classical SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime slice $S_1\times {\bf R}^3$. The concept of a (deconfining) thermal ground state,…

General Physics · Physics 2016-08-26 Ralf Hofmann

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…

General Physics · Physics 2018-08-07 Ralf Hofmann

We consider a simple massive extension of the Landau-DeWitt gauge for SU($N$) Yang-Mills theory. We compute the corresponding one-loop effective potential for a temporal background gluon field at finite temperature. At this order the…

High Energy Physics - Phenomenology · Physics 2015-08-10 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We have previously found analytically a very unusual and unexpected form of confinement in SU(3) Yang-Mills theory. This confinement occurs in the deconfined phase of the theory. The free energy of a single static test quark diverges, even…

High Energy Physics - Lattice · Physics 2009-10-31 K. Holland

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This is because we can define gauge-invariant…

High Energy Physics - Lattice · Physics 2010-01-21 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Takeharu Murakami

Centre-stabilised $SU(N)$ Yang-Mills theories on $\mathbb{R}^3 \times S^1$ are QCD-like theories that can be engineered to remain weakly-coupled at all energy scales by taking the $S^1$ circle length $L$ to be sufficiently small. In this…

High Energy Physics - Theory · Physics 2023-03-27 John Lai

A random vortex world-surface model for the infrared sector of SU(4) Yang-Mills theory is constructed, focusing on the confinement properties and the behavior at the deconfinement phase transition. Although the corresponding data from…

High Energy Physics - Lattice · Physics 2009-11-11 Michael Engelhardt

Yang-Mills theories undergo a deconfining phase transition at a critical temperature. In lattice calculations the temporal Wilson loop and Z_3 order parameter show above this temperature a behavior typical of deconfinement. A quantity of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Axel Maas , Burghard Grueter , Reinhard Alkofer , Jochen Wambach
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