Vacuum replicas in field-theory models of Coulomb QCD

Dynamical symmetry breaking can happen through a Higgs mechanism but also spontaneously within a strongly-enough coupled theory. We treat a field-theoretical quark model of QCD based on a linear+Coulomb Cornell potential (to account for the longitudinal interaction), together with a transverse inter...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2021-09
Main Authors: Pedro J de A Bicudo, Velasco, Eduardo Garnacho, Llanes-Estrada, Felipe J, Ribeiro, J Emilio, Víctor Serrano Herreros, Jorge Vallejo Fernández
Format: Article
Language:English
Subjects:
Broken symmetry
Field theory
Gluons
Harmonic oscillators
Mesons
Phenomenology
Quantum chromodynamics
Quark models
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Dynamical symmetry breaking can happen through a Higgs mechanism but also spontaneously within a strongly-enough coupled theory. We treat a field-theoretical quark model of QCD based on a linear+Coulomb Cornell potential (to account for the longitudinal interaction), together with a transverse interaction (to account for Coulomb-gauge gluons) in BCS approximation. After extracting the well-known BCS ground state on which abundant hadron phenomenology implementing dynamical chiral symmetry breaking has been built, we find two excited replica vacuumlike states shown in figure 1. At the BCS level they are classically unstable, but second quantization blocks transitions between them in volumes much larger than a hadron size. Mesons built over the replica vacua have relative masses similar to normal mesons on the ordinary vacuum; we find no negative-mass mode, confirming their stability found earlier with a harmonic oscillator potential.
ISSN:2331-8422