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Because quarks and gluons are confined within hadrons, they have a maximum wavelength of order the confinement scale. Propagators, normally calculated for free quarks and gluons using Dyson-Schwinger equations, are modified by bound-state…

High Energy Physics - Theory · Physics 2008-11-26 Stanley J. Brodsky , Robert Shrock

The screened massive expansion of full QCD is used in conjunction with a model for infrared quark masses to compute the Landau-gauge gluon propagator at finite temperature and baryonic density. Analytic expressions up to a one-dimensional…

High Energy Physics - Theory · Physics 2025-03-14 Giorgio Comitini , Fabio Siringo

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

The functional integral for QCD is reformulated by introducing explicitly an integration over the fluctuations of composite quark-antiquark bound states. Chiral symmetry breaking by the color singlet scalar field induces masses for the…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. Wetterich

Some years ago Gribov developed the so-called supercritical light quark confinement scenario. Based on physical arguments he conjectured a drastic change in the analytical properties of the quark propagator when the back-reaction of…

High Energy Physics - Phenomenology · Physics 2014-11-18 Christian S. Fischer , Dominik Nickel , Richard Williams

We investigate the rich quantum phase diagram of Wegner's theory of discrete Ising gauge fields interacting with $U(1)$ symmetric single-component fermion matter hopping on a two-dimensional square lattice. In particular limits the model…

Strongly Correlated Electrons · Physics 2022-06-20 Umberto Borla , Bhilahari Jeevanesan , Frank Pollmann , Sergej Moroz

Flux-attached theories are a novel class of lattice gauge theories whose gauge constraints involve both electric and magnetic operators. Like ordinary gauge theories, they possess confining phases. Unlike ordinary gauge theories, their…

High Energy Physics - Theory · Physics 2021-10-22 Djordje Radicevic

The idea of confinement states that in certain systems constituent particles can be discerned only indirectly being bound by an interaction whose strength increases with increasing particle separation. Though the most famous example is the…

Strongly Correlated Electrons · Physics 2009-12-06 B. Lake , A. M. Tsvelik , S. Notbohm , D. A. Tennant , T. G. Perring , M. Reehuis , C. Sekar , G. Krabbes , B. Büchner

Recent discoveries in supersymmetric gauge theories have significant implications for our understanding for QCD and of field theory in general. The phases of N=1 supersymmetric QCD (SQCD) are discussed, and the possibility of similar phases…

High Energy Physics - Lattice · Physics 2008-11-26 Matthew J. Strassler

We present a method which, starting directly from QCD, permits a systematic gauge-invariant expansion to be made for all hard processes involving quarkonia in powers of the quark relative velocity, a small natural parameter for heavy quark…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hafsa Khan , Pervez Hoodbhoy

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We study 2+1 dimensional gauge theories with a Chern-Simons term and a fermion in the adjoint representation. We apply general considerations of symmetries, anomalies, and renormalization group flows to determine the possible phases of the…

High Energy Physics - Theory · Physics 2018-07-25 Jaume Gomis , Zohar Komargodski , Nathan Seiberg

It has long been known that the gluon propagator in Landau-gauge QCD exhibits a mass gap; and its emergence has been ascribed to the action of the Schwinger mechanism in the gauge sector of QCD. In the present work, we relate this property…

High Energy Physics - Phenomenology · Physics 2025-08-29 Mauricio N. Ferreira , Joannis Papavassiliou , Jan M. Pawlowski , Nicolas Wink

The gluon propagator in Landau gauge is calculated on the lattice for SU(2) gauge theory. In particular the manifestation of confinement in the gluon propagator is studied. Removing the confining center vortices from the Yang-Mills ensemble…

High Energy Physics - Lattice · Physics 2015-06-25 K. Langfeld , H. Reinhardt , J. Gattnar

Effective Lagrangians for Quantum Chromodynamics (QCD) especially suited for understanding deconfinement and chiral symmetry restoration at nonzero temperature and matter density are reviewed. These effective theories allow one to study…

High Energy Physics - Phenomenology · Physics 2017-08-23 Agnes Mocsy , Francesco Sannino , Kimmo Tuominen

We derive a gauge-invariant low-energy effective model of the Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type and agrees with it when a mass term which breaks nilpotency of the BRST symmetry…

High Energy Physics - Theory · Physics 2015-05-27 Kei-Ichi Kondo

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

High Energy Physics - Phenomenology · Physics 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We consider various special cases of gluon condensates at finite temperature. The gluon condensate for an ideal gas of gluons with a given vacuum expectation value is introduced for the sake of comparison with that calculated using the…

High Energy Physics - Phenomenology · Physics 2007-05-23 David E. Miller

One of the most challenging issues in particle physics is to study QCD in extreme conditions. Precise determination of the QCD phase diagram on temperature $T$ and chemical potential $\mu$ plane will provide valuable information for…

High Energy Physics - Lattice · Physics 2009-11-10 Xiang-Qian Luo , He-Sheng Chen

We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the…

High Energy Physics - Phenomenology · Physics 2023-04-26 José Roberto Lessa , Fernando E. Serna , Bruno El-Bennich , Adnan Bashir , Orlando Oliveira