TY  - RPRT
AU  - Bartels, Jochen
AU  - Wu, Tai Tsun
TI  - Caustics in a Simple SU(2) Lattice Gauge Theory Model
IS  - DESY-86-096
M1  - PUBDB-2023-03510
M1  - DESY-86-096
SP  - 67
PY  - 1987
AB  - This paper describes the beginning of an attempt to study the weak coupling limit of lattice gauge theories, using the Hamiltonian formulation and the semiclassical approximation. The topics are caustics and the behavior of the ground state wave function in the vicinity of caustics. For two very simpleSU(2) models (one plaquette, two plaquettes) we demonstrate the existence of caustics, determine their locations and study the peaking behavior of the ground state wave function on them in the limit g<sup>2</sup>→0.
KW  - GAUGE FIELD THEORY: SU(2) (INSPIRE)
KW  - LATTICE FIELD THEORY: HAMILTONIAN FORMALISM (INSPIRE)
KW  - APPROXIMATION: WEAK COUPLING (INSPIRE)
KW  - WEAK COUPLING: APPROXIMATION (INSPIRE)
KW  - SCHROEDINGER EQUATION (INSPIRE)
KW  - APPROXIMATION: semiclassical (INSPIRE)
KW  - QUANTUM MECHANICS: PATH INTEGRAL (INSPIRE)
KW  - TRANSFORMATION: ASYMPTOTIC BEHAVIOR (INSPIRE)
KW  - GROUND STATE: WAVE FUNCTION (INSPIRE)
LB  - PUB:(DE-HGF)29
DO  - DOI:10.3204/PUBDB-2023-03510
UR  - https://bib-pubdb1.desy.de/record/585277
ER  -