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The background field formalism is used to implement nonperturbative QCD contributions into diagrammatic technic at $T>0$. The leading terms both in the confining and nonconfining phase are identified at large $N_c$ and the transition…

High Energy Physics - Phenomenology · Physics 2011-08-11 Yu. A. Simonov

We present results of numerical solutions of Schwinger-Dyson equations for the finite-temperature quark and electron propagators. It is shown that both strongly coupled QED and QCD undergo a chiral symmetry restoring phase transition as the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michael Strickland

We describe the application of Dyson-Schwinger equations to the calculation of hadron observables. The studies at zero temperature (T) and quark chemical potential (mu) provide a springboard for the extension to finite-(T,mu). Our exemplars…

Nuclear Theory · Physics 2007-05-23 Pieter Maris , Craig D. Roberts

We analyze the role played by temperature in QCD_3 by means of a dimensional interpolating approach. Pure gauge QCD_3 is defined on a strip of finite width L, which acts as an interpolating parameter between two and three dimensions. A…

High Energy Physics - Theory · Physics 2009-10-28 A. Ferrando , A. Jaramillo

We investigate the infrared critical exponents of Coulomb gauge Yang-Mills theory in the limit of very high temperature. This allows us to focus on one scale (the spatial momentum) since all but the lowest Matsubara frequency decouple from…

High Energy Physics - Phenomenology · Physics 2009-12-01 Klaus Lichtenegger , Daniel Zwanziger

We discuss a recently introduced strategy to study non-perturbatively thermal QCD up to temperatures of the order of the electro-weak scale, combining step scaling techniques and shifted boundary conditions. The former allow to renormalize…

High Energy Physics - Lattice · Physics 2024-11-22 Leonardo Giusti , Davide Laudicina , Matteo Bresciani , Mattia Dalla Brida , Tim Harris , Michele Pepe , Pietro Rescigno

We discuss the phase structure and thermodynamics of QCD by means of dynamical chiral effective models. Quark and meson fluctuations are included via the functional renormalization group. We study the influence of confinement in addition to…

High Energy Physics - Phenomenology · Physics 2013-07-18 Tina K. Herbst , Jan M. Pawlowski , Bernd-Jochen Schaefer

In this article, we carefully derive the horizon condition at finite temperature. Only the zero Matsubara mode is affected, and this result is consistent with the suitably modified Maggiore-Schaden shift, which takes into account temporal…

High Energy Physics - Theory · Physics 2016-05-25 Patrick Cooper , Daniel Zwanziger

For a low-temperature expansion in QCD it is well-known that the Lagrangian of vacuum chiral perturbation theory can be applied. This is due to the fact that the thermal effects of the heavy modes are Boltzmann suppressed. The present work…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Leupold

We show that large-$N$ $\phi ^4$ theory is not trivial if one accepts the presence of a tachyon with a truly huge mass, and that it allows exact calculation. We use it to illustrate how to calculate the exact resummed pressure at finite…

High Energy Physics - Phenomenology · Physics 2009-10-30 I T Drummond , R R Horgan , P V Landshoff , A Rebhan

We perform an exact computation of the grand partition function of a model of confined quarks at arbitrary temperatures and quark chemical potentials. The model is inspired by a version of QCD where the perturbative BRST symmetry is broken…

High Energy Physics - Phenomenology · Physics 2015-09-16 Bruno W. Mintz

In this lecture I will explain the established pictures of the QCD vacuum and, in particular, the underlying confinement mechanism. These are: the magnetic monopole condensation (dual Mei\ss ner effect), the center vortex picture and the…

High Energy Physics - Theory · Physics 2018-04-12 Hugo Reinhardt

Perturbative expansion in the nonperturbative confining QCD background is formulated. The properly renormalized $\alpha_S(R)$ is shown to be finite at large distances, with the string tension playing the role of an infrared regulator. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

This thesis is mainly devoted to the study of thermodynamics for quantum Chromodynamics. In this thesis I apply hard-thermal-loop perturbation theory, which is a gauge-invariant reorganization of the conventional perturbative expansion for…

High Energy Physics - Phenomenology · Physics 2015-01-30 Najmul Haque

We review the role of zero-temperature entropy in several closely-related contexts in QCD. The first is entropy associated with disordered condensates, including $< G_{\mu\nu}^2>$. The second is vacuum entropy arising from QCD solitons such…

High Energy Physics - Phenomenology · Physics 2012-03-30 John M. Cornwall

We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Gogohia

Models explaining dark matter typically include interactions with charged scalar and fermion fields. The Infra-Red (IR) finiteness of thermal field theories of charged fermions (fermionic QED) has been proven to all orders in perturbation…

High Energy Physics - Phenomenology · Physics 2022-10-19 Pritam Sen , D. Indumathi , Debajyoti Choudhury

There is considerable freedom in setting boundary conditions to perturbation theory at $t=\pm\infty$. The standard PQED and PQCD expansions are based on the (empty) perturbative vacuum. Since the true QCD ground state is expected to have a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer

We provide numerical evidence that the thermal QCD crossover turns into a first order transition in the presence of large enough magnetic background fields. The critical endpoint is found to be located between $eB = 4$ GeV$^2$ (where the…

High Energy Physics - Lattice · Physics 2022-03-14 Massimo D'Elia , Lorenzo Maio , Francesco Sanfilippo , Alfredo Stanzione

The center vortex model of the QCD vacuum is very successful in explaining the non-perturbative properties of QCD, especially confinement, chiral symmetry breaking and the topological charge of vacuum configurations. On the other hand, the…

High Energy Physics - Lattice · Physics 2021-06-16 Rudolf Golubich , Manfried Faber