Roughening Transition in Lattice Gauge Theories in Arbitrary Dimension. 2. The Groups $Z$(3), U(1), SU(2), SU(3)

Drouffe, J.M.; Zuber, J.B.

doi:10.1016/0550-3213(81)90419-3

Roughening Transition in Lattice Gauge Theories in Arbitrary Dimension. 2. The Groups $Z$ (3), U(1), SU(2), SU(3)

J.M. Drouffe
(
- Saclay
)
,
J.B. Zuber
(
- Saclay
)

Oct, 1980

11 pages

Published in:

Nucl.Phys.B 180 (1981) 264-274

Published: 1981

DOI:

10.1016/0550-3213(81)90419-3

Report number:

SACLAY-DPh-T 80/128

View in:

AMS MathSciNet

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Abstract: (Elsevier)

Strong coupling expansions for the string tension and other quantities in lattice gauge theories are computed in arbitrary dimension for the groups Z 3 , U(1), SU(2), SU(3). This enables us to determine the location of the roughening transition, which seems to be group independent when measured in an appropriate variable. In four dimensions, the strong coupling expansion of string tension calculated up to fourteenth order for SU(2), and twelfth order for SU(3) agrees nicely with Monte Carlo data up to the roughening point.

LATTICE FIELD THEORY
MODEL: STRONG COUPLING
STRONG COUPLING: MODEL
MODEL: STRING
GROUP THEORY: Z(3)
GROUP THEORY: U(1)
group: SU(2)
group: SU(3)
GAUGE FIELD THEORY: FOUR-DIMENSIONAL

References(11)

Figures(0)

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Roughening Transition in Lattice Gauge Theories in Arbitrary Dimension. 2. The Groups ZZZ(3), U(1), SU(2), SU(3)

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Roughening Transition in Lattice Gauge Theories in Arbitrary Dimension. 2. The Groups $Z$ (3), U(1), SU(2), SU(3)