2001/12/14 by J. Budczies, S. Nonnenmacher, Ya. Shnir +2
Physics and Astronomy · #Baryon #Gauge theory #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Meson #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Unitary transformation #cond-mat #hep-lat #hep-th
paper · pdf · doi:10.1016/s0550-3213(02)00331-0
published as Nucl.Phys. B635 (2002) 309-356 · LateX, 53 pages, 13 figures
arxiv created 2001/12/14 · openalex publication_date 2002/07/01 · arxiv updated 2015/06/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The color-flavor transformation, an identity that connects two integrals, each of which is over one of a dual pair of Lie groups acting in the fermionic Fock space, is extended to the case of the special unitary group. Using this extension, a toy model of lattice QCD is studied: Nf species of spinless fermions interacting with strongly coupled SU(Nc) lattice gauge fields in 1+1 dimensions. The color-flavor transformed theory is expressed in terms of gauge singlets, the meson fields, organized into sectors distinguished by the distribution of baryonic flux. A comprehensive analytical and numerical search is made for saddle-point configurations of the meson fields, with various topological charges, in the vacuum and single-baryon sectors. Two definitions of the static baryon on the square lattice, straight and zigzag, are investigated. The masses of the baryonic states are estimated using the saddle-point approximation for large Nc.