String tension in SU(3) lattice gauge theory

Wilson loop expectation values have been determined in SU(3) lattice gauge theory without fermions using Monte Carlo methods and considering lattices of up to 10⁴ sites. A heat bath technique has been developed in order to enhance the statistical independence of successive lattice configurations.     

String solutions with finite tension strings in SU(2) gauge theory

We extend recent work on string solutions within the SU(2) Higgs model by showing that another class of solutions exists with equally interesting properties: the tension is finite and the string posseses plus one unit of flux.     

Universality in SU(2) lattice gauge theory

A method of resumming perturbation theory is used to re-analyze previous Monte Carlo data of Bhanot and Dashen. We find no inconsistency with universality. There appears to be a relatively large region where Monte Carlo studies can reliably be done.     

Thermodynamics of SU(3) lattice gauge theory

The pressure and the energy density of the SU(3) gauge theory are calculated on lattices with temporal extent N_τ = 4, 6 and 8 and spatial extent N_σ = 16 and 32. The results are then extrapolated to the continuum limit. In the investigated temperature range up to five times T_c we observe a 15% deviation from the ideal gas limit. We also present new results for the critical temperature on lattices with temporal extent N_τ = 8 and 12. At the corresponding critical couplings the string tension is calculated on 32⁴ lattices to fix the temperature scale. An extrapolation to the continuum limit yields T_c/√σ = 0.629(3). We furthermore present results on the electric and magnetic condensates as well as the temperature dependence of the spatial string tension. These observables suggest that the temperature dependent running coupling remains large even at T ≅ 5T_c. For the spatial string tension we find √σ_s/T=0.566(13)g²2(T) with g² (5T_c) ≅ 1.5.     

Finite temperature SU(2) lattice gauge theory

We discuss SU(2) lattice gauge theories at non-zero temperature and prove several rigorous results including i) the absence of confinement for sufficiently high temperature in the pure gauge theory, and ii) the absence of spontaneous chiral symmetry breaking for sufficiently high temperature in the theory with massless fundamental representation fermions.     

Finite tension strings in SU(2) gauge theory

The second-order field equations of the SU(2) Higgs model are studied and a new class of string solutions is obtained. The tension is finite and scale-dependent and the strings are of minus one unit flux.     

SU (2) lattice gauge theory simulations on Fermi GPUs

In this work we explore the performance of CUDA in quenched lattice SU (2) simulations. CUDA, NVIDIA Compute Unified Device Architecture, is a hardware and software architecture developed by NVIDIA for computing on the GPU. We present an analysis and performance comparison between the GPU and CPU in single and double precision. Analyses with multiple GPUs and two different architectures (G200 and Fermi architectures) are also presented. In order to obtain a high performance, the code must be optimized for the GPU architecture, i.e., an implementation that exploits the memory hierarchy of the CUDA programming model.     

Gluon condensate from SU(2) lattice gauge theory

Recent Monte Carlo results are analyzed in terms of an operator product expansion for Wilson loops of small size. The value of 〈α_sG_μν^aG_μν^a〉 is found to be consistent with previous phenomenological estimates.     

PJLZ gauge-fixing approach in SU(2) lattice gauge theory

We study the SU(2) gauge theory with the interpolating gauge a la Parrinello-Jona-Lasinio-Zwanziger (PJLZ) with the gauge-fixing functional $F = \sum {_{x\mu } \frac{1}{2}} Tr\left( {U_{x\mu } \sigma _3 U_{x\mu }^\dag \sigma _3 } \right)$ . We find a strong indication of the nonanaliticity with respect to the interpolating parameter λ at c～0.8.     

Monopole order parameter in SU(2) lattice gauge theory

We report the results of numerical calculations for the probability distribution of the values of the monopole creation operator Ф_mon in the maximal Abelian projection of SU(2) lattice gluodynamics. It turns out that at low temperature in the confinement phase the maximum of the distribution corresponds to a nonzero value of the field Ф_mon. This means that the effective potential has the form of a Higgs potential. Above the phase-transition point the minimum of the potential (the maximum of the distribution of the monopole creation operator) corresponds to a zero value of the monopole field Fmon. The results presented are a direct proof of the existence of a condensate of Abelian monopoles in the confinement phase of gluodynamics, and they confirm the hypothesis that the vacuum of gluodynamics is analogous to a dual superconductor. Pis’ma Zh. éksp. Teor. Fiz. 63, No. 6, 392–397 (25 March 1996)     

Discrete subsets of SU(3) for lattice gauge theory

We construct a regular 38 880 element subset of SU(3) which is suitable for Monte Carlo simulation of SU(3) lattice gauge theory in the region of coupling β<8 which is of physical interest.