Scaling and asymptotic scaling in the SU(2) gauge theory

Fingberg, Jochen; Heller, Urs M.; Karsch, Frithjof

doi:10.1016/0550-3213(93)90682-f

Cited by 296 publications

(402 citation statements)

References 48 publications

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“…Here, we will use the data for σa 2 reported in Ref. [60] and a linear interpolation of the logarithm of these data where needed. 2 A value of the lattice spacing in physical units was obtained using the value σ = [440 MeV] 2 for the string tension.…”

Section: Setupmentioning

confidence: 99%

Propagators and running coupling from SU(2) lattice gauge theory

et al. 2004

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We perform numerical studies of the running coupling constant α R (p 2 ) and of the gluon and ghost propagators for pure SU (2) lattice gauge theory in the minimal Landau gauge. Different definitions of the gauge fields and different gauge-fixing procedures are used respectively for gaining better control over the approach to the continuum limit and for a better understanding of Gribov-copy effects. We find that the ghost-ghost-gluon-vertex renormalization constant is finite in the continuum limit, confirming earlier results by all-order perturbation theory. In the low momentum regime, the gluon form factor is suppressed while the ghost form factor is divergent. Correspondingly, the ghost propagator diverges faster than 1/p 2 and the gluon propagator appears to be finite. Precision data for the running coupling α R (p 2 ) are obtained. These data are consistent with an IR fixed point given by lim p→0 α R (p 2 ) = 5(1).

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Section: Setupmentioning

confidence: 99%

Propagators and running coupling from SU(2) lattice gauge theory

et al. 2004

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“…We also use the relation between the critical temperature T c and the (zero temperature) 4D physical string tension σ phys [34] :…”

Section: The 3-dimensional Su(2) Georgi-glashow Model On the Latticementioning

confidence: 99%

Effective Monopole Action at Finite Temperature in SU(2) Gluodynamics

Ishiguro¹,

Suzuki²,

Yazawa³

2002

J. High Energy Phys.

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Effective monopole action at finite temperature in SU(2) gluodynamics is studied on anisotropic lattices. Using an inverse Monte-Carlo method and the blockspin transformation for space directions, we determine 4-dimensional effective monopole action at finite temperature. We get an almost perfect action in the continuum limit under the assumption that the action is composed of two-point interactions alone. It depends on a physical scale b s and the temperature T . The temperature-dependence appears with respect to the spacelike monopole couplings in the deconfinement phase, whereas the timelike monopole couplings do not show any appreciable temperature-dependence. The dimensional reduction of the 4-dimensional SU(2) gluodynamics ((SU(2)) 4D ) at high temperature is the 3-dimensional Georgi-Glashow model ((GG) 3D ). The latter is studied at the parameter region obtained from the dimensional reduction. We compare the effective instanton action of (GG) 3D with the timelike monopole action obtained from (SU(2)) 4D . We find that both agree very well for T ≥ 2.4T c at large b region. The dimensional reduction works well also for the effective action.

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“…For quenched SU (2) it is found that the universality class is that of the 3d ising model, and ν = .62 [6]. For quenched SU (3) the transition is weak first order [7] and ν = 1/3.…”

Section: Introductionmentioning

confidence: 94%