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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…

高能物理 - 格点 · 物理学 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo

In the first part of this talk we review some prerequisites for and essential arguments involved in the construction of the thermal-ground-state estimate for the deconfining phase in the thermodynamics of SU(2) Quantum Yang-Mills theory and…

综合物理 · 物理学 2018-11-27 Ralf Hofmann

For the confining phase of SU(2) Yang-Mills thermodynamics we show that the asymptotic series representing the pressure is Borel summable for negative (unphysical) values of a suitably defined coupling constant. The inverse Borel transform…

高能物理 - 理论 · 物理学 2008-11-26 Ralf Hofmann

We calculate the thermodynamic functions of Yang-Mills theory to three-loop order using the hard-thermal-loop perturbation theory reorganization of finite temperature quantum field theory. We show that at three-loop order hard-thermal-loop…

高能物理 - 唯象学 · 物理学 2015-03-13 Jens O. Andersen , Michael Strickland , Nan Su

We review how vertex constraints inherited from the thermal ground state strongly reduce the integration support of loop four-momenta associated with massive quasi-particles in bubble diagrams constituting corrections to the free thermal…

高能物理 - 理论 · 物理学 2017-10-11 Ingolf Bischer

For the deconfining phase of SU(2) Yang-Mills thermodynamics and for high temperatures we point out that a linear dependence on temperature of a one-loop selfconsistently resummed thermal correction to the pressure and the energy density…

高能物理 - 理论 · 物理学 2010-11-29 Carlos Falquez , Ralf Hofmann , Tilo Baumbach

The decoupling strategy allows one to obtain the value of the strong coupling in QCD from the running in pure gauge. Here we present our strategy to determine the running in the $SU(3)$ Yang-Mills theory. We use a finite-volume scheme with…

高能物理 - 格点 · 物理学 2026-04-01 Isabella Leone Zimmel , Alberto Ramos

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

高能物理 - 格点 · 物理学 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

The uniquess of the effective actions describing 4D SU(2) and SU(3) continuum, infinite-volume Yang-Mills thermodynamics in their deconfining and preconfining phases is made explicit. Subsequently, the spatial string tension is computed in…

高能物理 - 理论 · 物理学 2014-11-18 Josef Ludescher , Jochen Keller , Francesco Giacosa , Ralf Hofmann

We present a non-perturbative study of the phase diagram of SU(2) Yang-Mills theory in a five-dimensional spacetime with a compact extra dimension. The non-renormalizable theory is regularized on an anisotropic lattice and investigated…

高能物理 - 格点 · 物理学 2014-11-20 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

I present a novel analytic framework for $SU(N)$ Yang-Mills theory in the four-dimensional continuum. Background and effective field theory techniques are used to include non-perturbative contributions from cubic and quartic interactions.…

核理论 · 物理学 2024-12-16 Seth Grable

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

高能物理 - 格点 · 物理学 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We sketch the development of effective theories for SU(2) and SU(3) Yang-Mills thermodynamics. The most important results are quoted and some implications for particle physics and cosmology are discussed.

高能物理 - 理论 · 物理学 2008-11-26 Ralf Hofmann

We review the thermodynamics of the confined and unconfined phases of superconformal Yang-Mills at large N on a three-sphere, focussing especially on the confinement-deconfinement transition. We determine an N-dependent phase boundary and…

高能物理 - 理论 · 物理学 2014-11-18 Maulik K. Parikh

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…

高能物理 - 格点 · 物理学 2015-11-13 Leonardo Giusti , Michele Pepe

We compute the effective action of the Polyakov loop in SU(2) and SU(3) Yang-Mills theory using a previously developed covariant variational approach. The formalism is extended to background gauge and it is shown how to relate the low order…

高能物理 - 理论 · 物理学 2016-09-21 Markus Quandt , Hugo Reinhardt

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified…

高能物理 - 唯象学 · 物理学 2024-11-13 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In…

高能物理 - 格点 · 物理学 2019-08-20 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

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…

高能物理 - 理论 · 物理学 2009-10-30 Michael Engelhardt , Hugo Reinhardt

The quantum of action $\hbar$, multiplying in certain powers perturbative vertices in 4D gauge theory, is related to the action of just-not-resolved selfdual and thermal gauge field configurations, calorons and anticalorons, of charge…

综合物理 · 物理学 2012-11-09 Ralf Hofmann , Dariush Kaviani