Dynamic universality for Z sub 2 and Z sub 3 lattice gauge theories at finite temperature

Journal Article · Sun Dec 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.44.3911· OSTI ID:6004067

Brower, R C ^[1]; Huang, S ^[2]

---

1. Physics Department and Department of Electrical, Computer and Systems Engineering, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (United States)
2. Physics Department, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215 (United States) Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 (United States)

Swendsen-Wang random surface dynamics for {ital Z}{sub 2} and {ital Z}{sub 3} gauge theories in 2+1 dimensions is applied to the finite-temperature deconfining transition, and the static universality conjecture of Svetitsky and Yaffe is extended to the exponent {ital z} for critical dynamics. Our new dynamic universality conjecture ({ital z}{sub RS}{sup {ital d}+1}={ital z}{sub SW}{sup {ital d}}) is supported both by a qualitative argument and by numerical simulations that show that the dynamic critical exponents for (2+1)-dimensional gauge theories (logarithmic or {ital z}{sub RS}{lt}0.3{plus minus}0.1 and 0.53{plus minus}0.03 for {ital Z}{sub 2} and {ital Z}{sub 3}, respectively) are consistent with the values for the two-dimensional Ising-Potts models (logarithmic or {ital z}{sub SW}=0.20--0.27 and 0.55{plus minus}0.03 for {ital Z}{sub 2} and {ital Z}{sub 3}, respectively) at the finite-temperature transition.

• OSTI ID: 6004067
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 44:12; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CRYSTAL MODELS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
ISING MODEL
LATTICE FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY GROUPS
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS