# Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory

- Authors
- Type
- Published Article
- Publication Date
- Submission Date
- Identifiers
- DOI: 10.1016/0550-3213(94)00491-V
- arXiv ID: hep-lat/9408009
- Source
- arXiv
- External links

## Abstract

The lattice data for the energy density of $SU(2)$ gauge theory are calculated with \nop~derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the \nop~beta function in accord with the measured critical temperature and $\Delta\beta-$values and ii) a \nop~calculation 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.

## There are no comments yet on this publication. Be the first to share your thoughts.