Fluctuating string of lattice gauge theory: The heavy-quark potential, the restoration of rotational symmetry, and roughening

Journal Article · Mon Jun 15 00:00:00 EDT 1981 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.2945· OSTI ID:6382068

Kogut, J B; Sinclair, D K; Pearson, R B; Richardson, J L; Shigemitsu, J

String dynamics, the heavy-quark potential, and the restoration of rotational symmetry in lattice gauge theory are studied using Hamiltonian methods. We find that off-axis strings experience unbounded transverse fluctuations at all finite couplings. A fermion formulation of lattice strings is used to do systematic calculations. The heavy-quark potential is seen to have power-law corrections to linear confinement. Rotational symmetry in the string sector of the theory is restored in two stages. There is a finite coupling g/sub R/ (''roughening'') where the equipotential surfaces of the heavy-quark potential become well-approximated by spheres, and there is the bulk critical point g = 0 where short-distance violations of rotational symmetry disappear. A new order parameter, the ''kink'' mass, is introduced to distinguish the smooth and rough phases of the string sector of any lattice gauge theory. Roughening coupling constants are determined using the kink mass for a variety of theories. These results are compared against more traditional width calculations. In the Hamiltonian formulation of SU(3) lattice gauge theory the roughening point lies inside the weak-coupling region.

• Research Organization: Physics Department, University of Illinois, Urbana, Illinois 61801
• OSTI ID: 6382068
• Journal Information: Phys. Rev. D; (United States), Vol. 23:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
STRING MODELS
FLUCTUATIONS
BAG MODEL
COUPLING CONSTANTS
HAMILTONIANS
RENORMALIZATION
ROTATION
SPACE-TIME
STRONG-COUPLING MODEL
SU-3 GROUPS
SYMMETRY
WEAK-COUPLING MODEL
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MOTION
NUCLEAR MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
SU GROUPS
SYMMETRY GROUPS
VARIATIONS
645204* - High Energy Physics- Particle Interactions & Properties-Theoretical- Strong Interactions & Properties
645400 - High Energy Physics- Field Theory