Renormalization flow of SU(3) lattice gauge actions

Journal Article · Fri Mar 15 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.31.1470· OSTI ID:5991055

Bitar, K M; Duke, D W; Jadid, M

We present a numerical study of the Migdal renormalization transformation for lattice SU(3) gauge theory. We confirm the existence of a large-distance universal fixed-line action. For large ..beta.. we identify this universal action as the heat-kernel action. For small ..beta.. we find that the universal action lies on a predetermined surface of ''critical positivity.'' For space-time dimensions greater than d = 4, we provide evidence that there exists a deconfining phase transition in both SU(2) and SU(3) lattice gauge theories, and that unlike the case for d = 4 there is no window from the asymptotically free region into the confining phase.

• Research Organization: Physics Department, American University of Beirut, Lebanon and Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510
• OSTI ID: 5991055
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 31:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICS
NUMERICAL ANALYSIS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS