Published February 15, 1977 | Version v1
Journal article

Lattice gauge theories and the continuum limit in two dimensions

Creators

  • 1. Fermi National Accelerator Laboratory, Batavia, Illinois 60510

Description

Lattice gauge theories in two dimensions are studied with regard to investigating the continuum limit. The effective interaction is calculated for the lattice gauge theories for QED [U(1)] and SU(N) to all orders in the gauge coupling and is shown to reproduce the usual Schwinger and 't Hooft models, respectively, in the limit of zero lattice spacing. However, lattice gauge theories in strong coupling have, in general, qualitatively different S matrices than their expected continuum analogs. Except for the SU(N) lattice gauge theory in the formal limit N → infinity, g2N fixed, the lattice introduces additional four-or-more-body forces which are not present in the continuum

Additional details

Identifiers

Publishing Information

Journal Title
Physical Review D
Journal Volume
15
Journal Issue
4
Series
Phys. Rev., D.
Journal Page Range
1084-1093
ISSN
0556-2821

Optional Information

Notes
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