Monte Carlo study of SU(2) gauge theory at finite temperature

A lattice simulation of the SU(2) vacuum structure

“…Using the well known value of Λ given by [12], we have Λ Λ critical (j = 1.00) = 1.226 ± 0.019 Λ Λ critical (j = 0.75) = 1.390 ± 0.025 Λ Λ critical (j = 0.50) = 1.572 ± 0.026 Λ Λ critical (j = 0.25) = 1.934 ± 0.031. (4.6) It is clear from these results that L critical z belongs to the confinement phase and there is a good agreement with the renormalization group equation (see Fig.…”

Lattice QCD at High Temperature and Density

“…June 2001 Almost immediately after the ground-breaking demonstration that the numerical analysis of lattice regularized quantum field theories [1] can also provide quantitative results on fundamental non-perturbative properties of QCD [2] it has been realized that this approach will also allow to study the QCD phase transition [3,4] and the equation of state of the quark-gluon plasma [5]. During the last 20 years we have learned a lot from lattice calculations about the phase structure of QCD at finite temperature.…”

“…The link variables Uµ(x) are elements of the SU (3) colour group. A product of these link variables around an elementary plaquette may be used to define an approximation to the gauge action, W (1,1) n,µν = 1 − 1 3 Re n,µν ≡ Re Tr Un,µU n+μ,ν U † n+ν,µ U † n,ν = g 2 a 4 2 F a µν F a µν + O(a 6 ) .…”

Universality in finite temperature lattice QCD

“…The thermodynamics of the phase transition at this temperature can be studied in two ways. On the one hand, one can evaluate the expectation value of a thermal Wilson loop [12,13], <lLi)=e r,/r/=0 T~<T~ (13)…”

“…2, we present our results using Wilson's, Manton's and Villain's forms of the lattice action for SU(2) Yang-Mills theory. Besides T~ and o, we compare the deconfinement order parameter [12,13] (IL I) and the energy density ~ as functions of temperature for the different actions. In sect.…”