1995
DOI: 10.1016/0550-3213(94)00491-v
|View full text |Cite
|
Sign up to set email alerts
|

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

Abstract: The lattice data for the energy density of SU (2) gauge theory are calculated with non-perturbative derivatives of the coupling constants. These derivatives are obtained from two sources : i) a parametrization of the non-perturbative beta function in accord with the measured critical temperature and ∆β−values and ii) a non-perturbative 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 de… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1

Citation Types

14
152
0

Year Published

1995
1995
2013
2013

Publication Types

Select...
5
4
1

Relationship

1
9

Authors

Journals

citations
Cited by 120 publications
(166 citation statements)
references
References 15 publications
(42 reference statements)
14
152
0
Order By: Relevance
“…The physical scale has been determined according to a(β )Λ L = R(β )λ (β ), where R is the two-loop perturbative β -function, while λ is a non-perturbative correction factor computed and reported in Ref. [25]. We have assumed the values T c /Λ L = 21.45(14) [25], T c / √ σ = 0.69(2) [26] and √ σ ≃ 430 MeV.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The physical scale has been determined according to a(β )Λ L = R(β )λ (β ), where R is the two-loop perturbative β -function, while λ is a non-perturbative correction factor computed and reported in Ref. [25]. We have assumed the values T c /Λ L = 21.45(14) [25], T c / √ σ = 0.69(2) [26] and √ σ ≃ 430 MeV.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…Only recently calculations with the standard Wilson action could be extended to lattices with sufficiently large temporal extent (N τ = 6 and 8) that would allow an extrapolation of lattice results for bulk thermodynamic quantities to the continuum limit [18,19]. Computationally the step from N τ = 4 to N τ = 8 is quite non trivial as the computer time needed to achieve numerical results with the same statistical significance on a two times larger lattice increases roughly like 2 10 .…”
Section: Su(3) Thermodynamicsmentioning
confidence: 99%
“…It was rst used in the context of lattice QCD to calculate the interface tension by S. Huang et al [5] and later modi ed for the bulk pressure of pure gauge QCD by J. Engels et al [6]. The disadvantage of the integral method is that for the pressure at a single temperature and quark mass, a number of di erent simulations are required in order to provide the integrand.…”
mentioning
confidence: 99%