Phase structure and renormalization trajectories of lattice SU(2) gauge theory

Journal Article · Mon Nov 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.2853· OSTI ID:6557107

Bitar, K M; Gottlieb, S; Zachos, C K

We indicate how the phase diagrams of lattice gauge theories are easily obtainable through real-space renormalization techniques of the Migdal-Kadanoff transform type. As an illustration, we work out the phase boundaries for an SU(2) single-plaquette action with variable components of spin-(1/2) (the Wilson form), spin-1 (SO(3)), and spin-(3/2). In this three-dimensional space, we study the renormalization flows for the couplings, thereby determining the infrared-stable forms of the action. We discuss their dependence on the phase boundary and their import to the continuum limit of the lattice theory.

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 6557107
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIAGRAMS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MIGDAL THEORY
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
RECURSION RELATIONS
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS