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PUBDB-2023-03510

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Caustics in a Simple SU(2) Lattice Gauge Theory Model

Bartels, J. ; Wu, T. T.

1987

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Please use a persistent id in citations: doi:10.3204/PUBDB-2023-03510

Report No.: DESY-86-096

Abstract: 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 $g^2→0$.

Keyword(s): GAUGE FIELD THEORY: SU(2) ; LATTICE FIELD THEORY: HAMILTONIAN FORMALISM ; APPROXIMATION: WEAK COUPLING ; WEAK COUPLING: APPROXIMATION ; SCHROEDINGER EQUATION ; APPROXIMATION: semiclassical ; QUANTUM MECHANICS: PATH INTEGRAL ; TRANSFORMATION: ASYMPTOTIC BEHAVIOR ; GROUND STATE: WAVE FUNCTION

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Contributing Institute(s):

1. DESY Retrocat (DESY(-2012))

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Experiment(s):

1. No specific instrument

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Bartels, J. ; Wu, T. T.
Caustics in a Simple SU(2) Lattice Gauge Theory Model
The European physical journal / C 33(4), 583 - 603 (1987) [10.1007/BF01548272]1987     Files BibTeX | EndNote: XML, Text | RIS

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