Vacuum replicas in QCD

Abstract

The properties of the vacuum are addressed in the two- and four-dimensional quark models for QCD. It is demonstrated that the two-dimensional QCD ('t Hooft model) possesses only one possible vacuum state - the solution to the mass-gap equation, which provides spontaneous breaking of the chiral symmetry (SBCS). On the contrary, the four-dimensional theory with confinement modeled by the linear potential supplied by the Coulomb OGE interaction, not only has the chirally-noninvariant ground vacuum state, but it possesses an excited vacuum replica, which also exhibits SBCS and can realize as a metastable intermediate state of hadronic systems. We discuss the influence of the latter on physical observables as well as on the possibility to probe the vacuum background fields in QCD.

arXiv commentRevTeX4, 26 pages, 8 EPS figures, extended references, corrected some typos, to appear in Phys.Rev.D

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Cited by in corpus (25)

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• Mesonic states and vacuum replicas in potential quark models for QCD
• Chiral symmetry restoration in excited hadrons, quantum fluctuations, and quasiclassics
• OZI violating eight-quark interactions as a thermometer for chiral transitions
• On Goldstone bosons decoupling from high-lying hadrons
• Path Integral Bosonization of the 't Hooft Determinant: Quasiclassical Corrections
• Analytical approach to chiral symmetry breaking in Minkowsky space
• Microscopic derivation of pion-nucleon and pion-Delta scattering lengths
• Field theory description of vacuum replicas
• Chiral symmetry and excited baryons
• Chiral Symmetry Breaking with Scalar Confinement
• Chiral symmetry breaking and the Lorentz nature of confinement
• Spontaneous mass generation and the small dimensions of the Standard Model gauge groups U(1), SU(2) and SU(3)
• Chiral symmetry breaking in the truncated Coulomb Gauge II. Non-confining power law potentials
• Dark quark domains
• Chiral symmetry and the properties of hadrons in the Generalised Nambu-Jona-Lasinio model
• Fermion family recurrences in the Dyson-Schwinger formalism
• Vacuum replicas in two-dimensional QCD
• Quark models: What can they teach us?
• Chiral-vacuum excited replicae in QCD modeling
• Confined but chirally and chiral spin symmetric hot matter
• Interpolating 't Hooft model between instant and front forms
• Multivacuum States in a Fermionic Gap Equation with massive gluons and confinement
• Chiral symmetry and its breaking