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We discuss how the inclusion of singular gauge fields in the partition function for QCD can lead to a domain-like picture for the QCD vacuum by virtue of specific conditions on quantum fluctuations at the singularities. With a simplified…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. C. Kalloniatis , S. N. Nedelko

In $\mathrm{U(1)}$ lattice gauge theory in three spacetime dimensions, confinement can be analytically shown to persist at all values of the coupling. Furthermore, the explicit predictions for the dependence of string tension $\sigma$ and…

High Energy Physics - Lattice · Physics 2014-05-02 Davide Vadacchino , Michele Caselle , Roberto Pellegrini , Marco Panero

The transition is studied by means of a disorder parameter detecting condensation of magnetic monopoles in the vacuum. The deconfining transition is found to coincide with the chiral transition and the susceptibility \rho, related to the…

High Energy Physics - Lattice · Physics 2008-11-26 M. D'Elia , A. Di Giacomo , B. Lucini , G. Paffuti , C. Pica

I begin these three lectures by describing some of the useful things that we have learned about large-N gauge theories using lattice simulations. For example that the theory is confining in that limit, that for many quantities SU(3) is…

High Energy Physics - Lattice · Physics 2013-06-11 Michael Teper

Continuum strong QCD is the application of models and continuum quantum field theory to the study of phenomena in hadronic physics, which includes; e.g., the spectrum of QCD bound states and their interactions. Herein I provide a…

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

Recent developments in Quantum Chromodynamics (QCD) are reviewed on three major topics where nonperturbative gluon excitations of the QCD vacuum and the physical properties of the confining flux play a central role: (1) New lattice results…

High Energy Physics - Lattice · Physics 2009-10-31 J. Kuti

We study confinement and chiral symmetry breaking phase transitions for QCD and supersymmetric QCD. The method is based on some justified assumption regarding the behavior of the Green function relevant for the potential between two charges…

High Energy Physics - Phenomenology · Physics 2018-09-07 Renata Jora

In-medium chiral symmetry breaking in confining potential models of QCD is examined. Past attempts to analyse these models have been hampered by infrared divergences that appear at non-zero temperature. We argue that previous attempts to…

High Energy Physics - Phenomenology · Physics 2010-04-06 Pok Man Lo , Eric S. Swanson

Some mysterious features of the strong interactions become easily understood if our usual QCD with N=3 is `close to' SU(oo) and if the latter theory is confining. N=oo theories are theoretically simpler; in particular there has been much…

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

Fluctuations in the vicinity of a phase transition are important but neglected in mean-field theory. In order to assess the influence of such fluctuations on the critical endpoint and the size of the critical region in the QCD phase…

High Energy Physics - Phenomenology · Physics 2009-04-14 Bernd-Jochen Schaefer

Spatial correlations - bubbles, domain walls, etc. - can best be studied by concentrating on the degrees of freedom most relevant to the problem. For the finite temperature confinement transition, I integrate out all gauge degrees of…

High Energy Physics - Lattice · Physics 2009-10-31 Benjamin Svetitsky

A model is introduced with a massive scalar coupling to the Yang--Mills term in four--dimensional gauge theory. It is shown that the resulting potential of colour sources consists of a short range Coulomb interaction and a long range…

High Energy Physics - Phenomenology · Physics 2011-09-13 Rainer Dick

We examine a toy model and a cascade effect for confinement and chiral symmetry breaking which consists in several phase transitions corresponding to the formation of bound states and chiral condensates with different number of fermions for…

High Energy Physics - Phenomenology · Physics 2016-12-13 Amir H. Fariborz , Renata Jora

We study the phase diagram of an $SU(N)$ gauge theory in terms of the number of colors $N$ and flavors $N_f$ with emphasis on the confinement and chiral symmetry breaking phases. We argue that as opposed to SUSY QCD there is a small region…

High Energy Physics - Phenomenology · Physics 2015-12-01 Renata Jora

We examine the role of the center Z(N) of the gauge group SU(N) in gauge theories. In this pedagogical article, we discuss, among other topics, the center symmetry and confinement and deconfinement in gauge theories and associated…

High Energy Physics - Phenomenology · Physics 2016-11-23 K. Holland , U. -J. Wiese

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

Two crucial properties of QCD, confinement and chiral symmetry breaking, cannot be understood within the context of conventional Feynman perturbation theory. Non-perturbative phenomena enter the theory in a fundamental way at both the…

High Energy Physics - Lattice · Physics 2015-05-27 Michael Creutz

The main features of QCD, e.g. confinement, chiral symmetry breaking, Regge trajectories are naturally and economically explained in the framework of the Field Correlator Method (FCM). The same method correctly predicts the spectrum of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yu. A. Simonov

In this review, we provide a short outlook of some of the currently most popular pictures and promising approaches to non-perturbative physics and confinement in gauge theories. A qualitative and by no means exhaustive discussion presented…

High Energy Physics - Phenomenology · Physics 2021-09-17 Roman Pasechnik , Michal Šumbera

We describe flux tubes and their interactions in a low energy sigma model induced by $SU({N_f}) \rightarrow SO({N_f})$ flavor symmetry breaking in $SO(N_c)$ QCD. Unlike standard QCD, this model allows gauge confinement to manifest itself in…

High Energy Physics - Theory · Physics 2010-11-01 K. M. Benson , M. Saadi