| Home > Publications database > CAUSTICS IN A CUBIC $SU(2)$ LATTICE MODEL WITH ANTIPERIODIC BOUNDARY CONDITIONS |
| Journal Article | PUBDB-2023-04693 |
1989
World Scientific Publ.
Singapur
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Please use a persistent id in citations: doi:10.1142/S0217751X89001977
Report No.: DESY-88-030
Abstract: In order to investigate the weak coupling limit of lattice gauge theories, it has been suggested recently to apply the semiclassical approximation to the Schrödinger equation in the Hamiltonian formalism. This method is used to study pure $SU(2)$ gauge theory on a cube with sides of length one lattice constant and with antiperiodic boundary conditions. We show the existence of caustics, i.e. envelopes of families of classical trajectories where the ground state wave function peaks, and describe their shape.
Keyword(s): GAUGE FIELD THEORY: SU(2) ; LATTICE FIELD THEORY: HAMILTONIAN FORMALISM ; FIELD THEORY: WAVE FUNCTION ; SCHROEDINGER EQUATION ; BOUNDARY CONDITION ; APPROXIMATION: semiclassical ; APPROXIMATION: WEAK COUPLING ; WEAK COUPLING: APPROXIMATION ; NUMERICAL CALCULATIONS
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CAUSTICS IN A CUBIC $SU(2)$ LATTICE MODEL WITH ANTIPERIODIC BOUNDARY CONDITIONS
20 pp. (1988) [10.3204/PUBDB-2023-04692]
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