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

Journal Article · Wed Aug 15 00:00:00 EDT 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.1233· OSTI ID:6415106

Bartels, J; Raabe, B ^[1]; Wu, T T ^[2]

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1. II. Institut fuer Theoretische Physik, Universitaet Hamburg, Hamburg (West Germany)
2. Gordon McKay Laboratory, Harvard University, Cambridge, MA (USA)

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.

• DOE Contract Number: FG02-84ER40158
• OSTI ID: 6415106
• Journal Information: Physical Review, D (Particles Fields); (USA), Vol. 42:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
INFRARED DIVERGENCES
BOUNDARY CONDITIONS
EQUATIONS OF MOTION
GAUGE INVARIANCE
HAMILTONIANS
SCHROEDINGER EQUATION
SEMICLASSICAL APPROXIMATION
SU-2 GROUPS
WAVE FUNCTIONS
WEAK-COUPLING MODEL
YANG-MILLS THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SU GROUPS
SYMMETRY GROUPS
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
645300 - High Energy Physics- Particle Invariance Principles & Symmetries