Semiclassical analysis of the weak-coupling limit of SU(2) lattice gauge theory: The extreme infrared region

• Published in: Physical review. D, Particles and fields Vol. 42; no. 4; pp. 1233 - 1245
• Main Authors: Bartels, J, Raabe, B, Wu, TT
• Format: Journal Article
• Language: English
• Published: United States 15-08-1990
• Subjects: 645300 - High Energy Physics- Particle Invariance Principles & Symmetries; 645400 - High Energy Physics- Field Theory; BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; EQUATIONS OF MOTION; FIELD THEORIES; FUNCTIONS; GAUGE INVARIANCE; HAMILTONIANS; INFRARED DIVERGENCES; INVARIANCE PRINCIPLES; LATTICE FIELD THEORY; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; NUCLEAR MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SCHROEDINGER EQUATION; SEMICLASSICAL APPROXIMATION; SU GROUPS; SU-2 GROUPS; SYMMETRY GROUPS; WAVE EQUATIONS; WAVE FUNCTIONS; WEAK-COUPLING MODEL; YANG-MILLS THEORY
• ISSN: 0556-2821; 1089-4918
• DOI: 10.1103/PhysRevD.42.1233

This paper contains the second part of our systematic investigation of the weak-coupling limit of SU(2) lattice gauge theory, using the semiclassical approximation. We study the flow of solutions close to the subspace of spatially constant fields ( extreme infrared'') and establish the existence of a dense cobweb of caustics in the region of very small fields. The origin of these caustics are oscillations of neighboring classical solutions around each other.