String, corner, and plaquette formulation of finite lattice gauge theory

1984 ◽  
Vol 30 (8) ◽  
pp. 1782-1790 ◽  
Author(s):  
Ghassan G. Batrouni ◽  
M. B. Halpern
Keyword(s):  
Gauge Theory ◽  
Lattice Gauge Theory ◽  
Finite Lattice ◽  
Lattice Gauge

scholarly journals MULTIQUARK ENERGIES IN SU(2) LATTICE GAUGE THEORY

1993 ◽  
Vol 02 (03) ◽  
pp. 479-506 ◽  
Author(s):  
A.M. GREEN ◽  
C. MICHAEL ◽  
J.E. PATON ◽  
M.E. SAINIO
Keyword(s):  
Monte Carlo ◽  
Gauge Theory ◽  
Monte Carlo Calculation ◽  
Lattice Gauge Theory ◽  
Finite Lattice ◽  
Lattice Monte Carlo ◽  
Model Based ◽  
Lattice Gauge ◽  
Lattice Size ◽  
Overlap Factor

Energies of four-quark systems have been extracted in a quenched SU(2) lattice Monte Carlo calculation for two different geometries, rectangular and colinear, with β=2.4 and lattice size 163×32. Also by going to a lattice 243×32 and to β=2.5, the effect of the finite lattice size and scaling are checked. An attempt is made to understand these results in terms of a model based on interquark two-body potentials but modified very significantly by a phenomenological gluon-field overlap factor.

GLUEBALL AND MESON DISPERSION RELATIONS IN COMPACT U (1)2+1 LATTICE GAUGE THEORY

1993 ◽  
Vol 04 (05) ◽  
pp. 919-945 ◽  
Author(s):  
A. M. CHAARA ◽  
H. KROGER ◽  
K. J. M. MORIARTY ◽  
J. POTVIN
Keyword(s):  
Perturbation Theory ◽  
Gauge Theory ◽  
Dispersion Relation ◽  
Lattice Gauge Theory ◽  
Finite Lattice ◽  
Hamiltonian Method ◽  
Lattice Gauge ◽  
Hamiltonian Lattice ◽  
Poincaré Algebra ◽  
Good Agreement

We have studied compact U (1) gauge theory in 2 + 1 dimensions in the framework of Hamiltonian lattice gauge theory, using a momentum [k] lattice. We consider glueball-like states and meson-like states. For the glueball states we compare the mass and the dispersion relation with results from a space-time lattice Hamiltonian method obtained by Irving et al. and with strong coupling perturbation theory results obtained by Hakim et al. and find good agreement. We introduce a compact momentum operator P on the lattice analogous to the compact Hamiltonian. The lattice Hamiltonian H and the lattice momentum P do not commute for finite lattice cutoff [a ≠ 0], which indicates violation of the Poincaré algebra. However, they commute for a → 0. We compute < P > for glueball and meson eigenstates. We obtain the dispersion relation E versus < P > and extract the mass, which agrees well with the mass obtained from E versus k.

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