Dense baryonic matter in strong coupling lattice gauge theory

Abstract

We investigate the strong coupling limit of lattice QCD in the Hamiltonian formulation for systems with non-zero baryon density. In leading order the Hamiltonian looks like an antiferromagnet that is invariant under global U(N_f)xU(N_f) and local SU(N_c). Physically it describes meson dynamics with a fixed background of baryon density. We study this Hamiltonian with several baryon number distributions, and concentrate on the global symmetries of the ground state and on the properties of low lying excitations. In particular, for uniform non-zero baryon density we write the partition function as a path integral that is tractable in the limit of large N_c. We find that the ground state spontaneously breaks chiral symmetry as well as discrete lattice rotations in a way that depends on N_f and the density. The low energy excitations include type I and type II Goldstone bosons. The energies of the latter are of order 1/N_c, and are quadratic in momentum. Bosons of either type can develop anisotropic dispersion relations.

arXiv commentPh.D. thesis. 215 pages, 52 figures

References in corpus (32)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• Diquark Bose Condensates in High Density Matter and Instantons
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• Chiral Fermions from Lattice Boundaries
• Crystalline Color Superconductivity
• Infinitely many regulator fields for chiral fermions
• Nonrelativistic effective Lagrangians
• Kaon Condensation and Goldstone's Theorem
• Study of QCD thermodynamics at finite density by Taylor expansion
• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• High Density Quark Matter and the Renormalization Group in QCD with two and three flavors
• On the Applicability of Weak-Coupling Results in High Density QCD
• Hamiltonian lattice QCD at finite chemical potential
• A novel spin wave expansion, finite temperature corrections and order from disorder effects in the double exchange model
• General Structure of Relativistic Vector Condensation
• Mapping of composite hadrons into elementary hadrons and effective hadronic Hamiltonians
• The phase diagram of N_f=3 QCD for small baryon densities
• Diquark condensation at strong coupling
• Quantum Fluctuations in the Frustrated Antiferromagnet Sr_2Cu_3O_4Cl_2
• Color-Flavor Transformation for the Special Unitary Group
• Second quantization approach to composite hadron interactions in quark models
• Lattice gauge theory with baryons at strong coupling
• Baryon Mapping of Quark Systems
• Hamiltonian domain wall fermions at strong coupling
• Spontaneous symmetry breaking in strong-coupling lattice QCD at high density
• Hamiltonian lattice quantum chromodynamics at finite density with Wilson fermions
• Magnetic Impurity in the two-dimensional Heisenberg Antiferromagnet
• Order from disorder in lattice QCD at high density
• Quantum Spin Formulation of the Principal Chiral Model
• Anisotropic Goldstone bosons of strong-coupling lattice QCD at high density
• Towards a strong-coupling theory of QCD at finite density