On the Roughening Transition in Nonabelian Lattice Gauge Theories

Munster, Gernot; Weisz, Peter

doi:10.1016/0550-3213(81)90424-7

On the Roughening Transition in Nonabelian Lattice Gauge Theories

Gernot Munster
(
- DESY
)
,
Peter Weisz
(
- Hamburg U.
)

Oct, 1980

11 pages

Published in:

Nucl.Phys.B 180 (1981) 330-340

Published: 1981

DOI:

10.1016/0550-3213(81)90424-7

Report number:

DESY-80-97

View in:

AMS MathSciNet

reference search28 citations

Citations per year

Abstract: (Elsevier)

We estimate the location β R = ( g R 2 N ) −1 of the recently discussed roughening transition for SU( N ) lattice gauge theories in ν = 3 and 4 dimensions. The obtained values always lie in the crossover region where the string tension starts to deviate significantly from the leading strong coupling behaviour. β R ( N ) increases as N increases, tending to a finite limit (≈0.38 for ν = 4) as N → ∞. Results for the solid on solid model (SOS) approximation are also presented and shown to give a good qualitative description; however, group theoretical effects seem to be important for quantitative estimates.

LATTICE FIELD THEORY
GAUGE FIELD THEORY: NONABELIAN
GAUGE FIELD THEORY: SU(N)
GAUGE FIELD THEORY: THREE-DIMENSIONAL
GAUGE FIELD THEORY: FOUR-DIMENSIONAL
GAUGE FIELD THEORY: ROUGHENING TRANSITION
MODEL: STRONG COUPLING
STRONG COUPLING: MODEL
MODEL: STRING
NUMERICAL CALCULATIONS

References(12)

Figures(0)

Structural Transition in the Ising-Model Interface

- Phys.Rev.Lett. 31 (1973) 549-551
•
DOI:
- 10.1103/PhysRevLett.31.549

Goldstone Modes in Vacuum Decay and First Order Phase Transitions

- J.Phys.A 13 (1980) 1755
•
DOI:
- 10.1088/0305-4470/13/5/034

Extrapolation of Lattice Gauge Theories to the Continuum Limit

A. Duncan
(
- Columbia U.
)
,
H. Vaidya
(
- Columbia U.
)

- Phys.Rev.D 20 (1979) 903
•
DOI:
- 10.1103/PhysRevD.20.903

Vortex Free Energy and String Tension at Strong and Intermediate Coupling

Gernot Munster
(
- Hamburg U.
)

- Phys.Lett.B 95 (1980) 59-62
•
DOI:
- 10.1016/0370-2693(80)90399-8

The QCD beta Function at Intermediate and Strong Coupling

- Phys.Rev.Lett. 43 (1979) 484-486,
- In *Rebbi, C. (ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 255-257
•
DOI:
- 10.1103/PhysRevLett.43.484

- Phys.Rev.Lett. 45 419

- Phys.Rev.D 21 440

Confinement of Quarks

Kenneth G. Wilson
(
- Cornell U., LNS
)

- Phys.Rev.D 10 (1974) 2445-2459,
- In *Rebbi, C. ( Ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 45-59. ( Phys. Rev. D10 ( 1974) 2445-2459) and Cornell Univ. Ithaca - CLNS-74-262 (74,REC.MAR.) 47p,
•
DOI:
- 10.1103/PhysRevD.10.2445

Nonconvergence of the 1/N Expansion for SU(N) Gauge Fields on a Lattice

B. de Wit
(
- Leiden U.
)
,
Gerard 't Hooft
(
- Utrecht U.
)

- Phys.Lett.B 69 (1977) 61-64
•
DOI:
- 10.1016/0370-2693(77)90133-2

Nonplanar Diagrams in the Large $N$ Limit of U( $N$ ) and SU( $N$ ) Lattice Gauge Theories

Don Weingarten
(
- Indiana U.
)

- Phys.Lett.B 90 (1980) 285-288
•
DOI:
- 10.1016/0370-2693(80)90743-1

How to Sum the Planar Diagrams: A Reformulation of U( $N$ ) Lattice Gauge Theory, for $N \to$ Infinity, in Terms of a Statistical Ensemble of Noninteracting Random Surfaces

D. Forster
(
- Saclay
)

- Nucl.Phys.B 170 (1980) 107-127
•
DOI:
- 10.1016/0550-3213(80)90480-0

Monte Carlo Study of Quantized SU(2) Gauge Theory

M. Creutz
(
- Brookhaven
)

- Phys.Rev.D 21 (1980) 2308-2315,
- Reprinted in *Rebbi, C. (ed.): Lattice Gauge Theories and Monte Carlo Simulations*, 258-265
•
DOI:
- 10.1103/PhysRevD.21.2308