Lattice gauge theory with baryons at strong coupling

Abstract

We study the effective Hamiltonian for strong-coupling lattice QCD in the case of non-zero baryon density. In leading order the effective Hamiltonian is a generalized antiferromagnet. For naive fermions, the symmetry is U(4N_f) and the spins belong to a representation that depends on the local baryon number. Next-nearest-neighbor (nnn) terms in the Hamiltonian break the symmetry to U(N_f) x U(N_f). We transform the quantum problem to a Euclidean sigma model which we analyze in a 1/N_c expansion. In the vacuum sector we recover spontaneous breaking of chiral symmetry for the nearest-neighbor and nnn theories. For non-zero baryon density we study the nearest-neighbor theory only, and show that the pattern of spontaneous symmetry breaking depends on the baryon density.

31 pages, 5 EPS figures. Corrected Eq. (6.1)

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• Low-Energy Effective Theories of Quantum Link and Quantum Spin Models
• Generalized Spin Systems and $\sigma$--Models
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• Hamiltonian domain wall fermions at strong coupling
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Cited by in corpus (14)

• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• Phase-diagram of two-color lattice QCD in the chiral limit
• Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase
• Volume dependence of two-dimensional large-N QCD with a nonzero density of baryons
• The spectrum of lattice QCD with staggered fermions at strong coupling
• Diquark condensation at strong coupling
• Spontaneous symmetry breaking in strong-coupling lattice QCD at high density
• Order from disorder in lattice QCD at high density
• Strong coupling methods in QCD thermodynamics
• QCD at Finite temperature and density with staggered and Wilson quarks
• Color superconductivity in ultra-dense quark matter
• Anisotropic Goldstone bosons of strong-coupling lattice QCD at high density
• Strong coupling analysis of diquark condensation
• Dense baryonic matter in strong coupling lattice gauge theory