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Related papers: The Quark Propagator in a Truncation Scheme beyond…

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In this work, we investigate how the details of the quark-gluon interaction vertex affect the quantitative description of chiral symmetry breaking through the gap equation for quarks. We start from two gluon propagator models widely used in…

Nuclear Theory · Physics 2023-10-16 M. Atif Sultan , Khépani Raya , Faisal Akram , Adnan Bashir , Bilal Masud

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD's gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields…

Nuclear Theory · Physics 2017-08-23 C. D. Roberts

We solve the coupled Dyson-Schwinger equations for quark propagator and quark gluon vertex in the Nambu-Gorkov basis which is widely applied to study the color superconductivity. After considering the non-Abelian feature in the off-diagonal…

High Energy Physics - Phenomenology · Physics 2024-03-26 Fei Gao , Yi Lu , Yu-Xin Liu

Within the framework of the Dyson-Schwinger equations in the axial gauge, we study the effect that non-perturbative glue has on the quark propagator. We show that Ward-Takahashi identities, combined with the requirement of matching…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. R. Cudell , A. J. Gentles , D. A. Ross

We study the phase diagram of strongly interacting matter with light quarks using a recently proposed, small parameter approach to infrared QCD in the Landau gauge. This is based on an expansion with respect to both the inverse number of…

High Energy Physics - Theory · Physics 2020-02-05 Jan Maelger , Urko Reinosa , Julien Serreau

We investigate the nonperturbative behaviour of the quark propagator in axial gauge using a truncation of the Dyson-Schwinger equations which respects the Ward-Takahashi identity and multiplicative renormalisability. We demonstrate that…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. J. Gentles , D. A. Ross

General properties of the light and heavy quark propagators have been investigated in the context of string tension interaction. Confinement, chiral symmetry breaking, spectral properties of the propagator are analytically studied and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Ramesh Anishetty , Santosh Kumar Kudtarkar

The Schwinger-Dyson equation for the quark in the rainbow approximation at finite temperature (T) is solved numerically without introducing any ansatz for the dressed quark propagator. The dymanical quark mass-function and the wave-function…

High Energy Physics - Phenomenology · Physics 2014-11-17 Takashi Ikeda

We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The…

Nuclear Theory · Physics 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy

The Dyson-Schwinger equation for the quark self energy is solved in rainbow approximation using an infrared (IR) vanishing gluon propagator that introduces an IR mass scale $b$. There exists a $b$ dependent critical coupling indicating the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Axel Bender , Reinhard Alkofer

The renormalized Dyson-Schwinger equation for the quark propagator is studied, in Landau gauge, in a novel truncation which preserves multiplicative renormalizability. The renormalization constants are formally eliminated from the integral…

High Energy Physics - Phenomenology · Physics 2009-01-14 J. C. R. Bloch

We study the long-distance properties of quantum chromodynamics in an expansion in powers of the three-gluon, four-gluon, and ghost-gluon couplings, but without expanding in the quark-gluon coupling. This is motivated by two observations.…

High Energy Physics - Theory · Physics 2018-03-26 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

We study a model Dyson-Schwinger equation for the quark propagator closed using an {\it Ansatz} for the gluon propagator of the form \mbox{$D(q) \sim q^2/[(q^2)^2 + b^4]$} and two {\it Ans\"{a}tze} for the quark-gluon vertex: the minimal…

High Energy Physics - Phenomenology · Physics 2010-03-04 Frederick T. Hawes , Craig D. Roberts , Anthony G. Williams

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups…

High Energy Physics - Phenomenology · Physics 2017-10-11 Romain Contant , Markus Q. Huber

The nonperturbative quark gap equation under the rainbow truncation and with two versions of a phenomenological one-gluon exchange interaction is studied in the presence of a uniform external magnetic field, with emphasis on the small field…

High Energy Physics - Phenomenology · Physics 2014-02-19 Peter Watson , Hugo Reinhardt

The chirally symmetric overlap quark propagator is explored in Coulomb gauge for the first time. This gauge is especially well suited for studying the interrelation between confinement and chiral symmetry breaking, since confinement can be…

High Energy Physics - Lattice · Physics 2015-04-27 M. Pak , M. Schröck

Quarks in the adjoint representation have been a subject of study for both conceptual and practical purposes. Conceptually, their differences when it comes to confining and chiral symmetry properties has long been suspected to hold…

High Energy Physics - Lattice · Physics 2013-07-11 Daniel August , Axel Maas

We exploit the recent lattice results for the infrared gluon propagator with light dynamical quarks and solve the gap equation for the quark propagator. Chiral symmetry breaking and confinement (intimately tied with the analytic properties…

High Energy Physics - Phenomenology · Physics 2014-01-08 A. Bashir , A. Raya , J. Rodríguez-Quintero

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

The ladder-rainbow truncation of the set of Dyson-Schwinger equations is used to study light mesons. The parameters in the effective interaction are constrained by the chiral condensate and f_\pi; the current quark masses are fitted to…

Nuclear Theory · Physics 2007-05-23 P. Maris
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