Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-12-14
Nucl.Phys. B635 (2002) 309-356
Physics
High Energy Physics
High Energy Physics - Lattice
LateX, 53 pages, 13 figures
Scientific paper
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: N_f species of spinless fermions interacting with strongly coupled SU(N_c) 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 N_c.
Budczies Jan
Nonnenmacher Stéphane
Shnir Ya
Zirnbauer Martin R.
No associations
LandOfFree
(1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with (1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and (1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-663398