Spontaneous chiral symmetry breaking in the linked cluster expansion

Abstract

We investigate dynamical chiral symmetry breaking in the Coulomb gauge Hamiltonian QCD. Within the framework of the linked cluster expansion we extend the BCS ansatz for the vacuum and include correlation beyond the quark-antiquark paring. In particular we study the effects of the three-body correlations involving quark-antiquark and transverse gluons. The high momentum behavior of the resulting gap equation is discussed and numerical computation of the chiral symmetry breaking is presented.

13 pages, 9 figures

References in corpus (4)

• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• The Elusiveness of Infrared Critical Exponents in Landau Gauge Yang--Mills Theories
• Verifying the Kugo-Ojima Confinement Criterion in Landau Gauge Yang-Mills Theory
• Relativistic Many-Body Hamiltonian Approach to Mesons

Cited by in corpus (10)

• Confinement and gluon propagator in Coulomb gauge QCD
• Hyperfine meson splittings: chiral symmetry versus transverse gluon exchange
• Chiral symmetry breaking in Hamiltonian QCD in Coulomb gauge
• Improved variational approach to QCD in Coulomb gauge
• A Coulomb Gauge Model of Mesons
• An exactly solvable limit of low energy QCD
• Microscopic derivation of the pion coupling to heavy-light mesons
• Towards a Relativistic Description of Exotic Meson Decays
• Gluon chain formation in presence of static charges
• Effect of Transverse Gluons on Chiral Restoration in Excited Mesons