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Scaling properties of the energy density in SU(2) lattice gauge theory

J. Engels
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U.
)
,
K. Redlich
(
- Bielefeld U. and
- Wroclaw U.
)

Jul, 1994

23 pages

Published in:

Nucl.Phys.B 435 (1995) 295-310

e-Print:

hep-lat/9408009 [hep-lat]

DOI:

10.1016/0550-3213(94)00491-V

Report number:

BI-TP-94-30

View in:

ADS Abstract Service

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Abstract:

The lattice data for the energy density of

SU(2)

gauge theory are calculated with \nopderivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nopbeta function in accord with the measured critical temperature and

\Delta\beta-

values and ii) a \nopcalculation of the presssure. We then perform a detailed finite size scaling analysis of the energy density near

T_c

. It is shown that at the critical temperature the energy density is scaling as a function of

VT~3

with the corresponding

3d

Ising model critical exponents. The value of

\epsilon(T_c)/T~4_c

in the continuum limit is estimated to be 0.256(23). In the high temperature regime the energy density is approaching its weak coupling limit from below, at

T/T_c \approx 2

it has reached only about

70\%

of the limit.

gauge field theory: SU(2)
lattice field theory
energy: density
coupling constant
effect: nonperturbative
beta function: parametrization
critical phenomena
pressure
scaling: finite size
numerical calculations: Monte Carlo

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