Bootstrap for lattice Yang-Mills theory

Dual string from lattice Yang-Mills theory

We review properties of lower-dimension vacuum defects observed in lattice simulations of SU(2) Yang-Mills theories. Oneand two-dimensional defects are associated with ultraviolet divergent action. The action is the same divergent as in perturbation theory but the fluctuations extend over submanifolds of the whole 4d space. The action is self tuned to a divergent entropy and the 2d defects can ...

Lower-dimension Vacuum Defects in Lattice Yang-mills Theory

We overview lattice data on d = 1, 2, 3 vacuum defects in four-dimensional gluodynamics. In all the cases defects have total volume which scales in physical units (with zero fractal dimension). In case of d = 1, 2 the defects are distinguished by ultraviolet divergent non-Abelian action as well. This sensitivity to the ultraviolet scale allows to derive from the continuum theory strong constrai...

Improved actions and asymptotic scaling in lattice Yang-Mills theory

Improved actions in SU(2) and SU(3) lattice gauge theories are investigated with an emphasis on asymptotic scaling. A new scheme for tadpole improvement is proposed. The standard but heuristic tadpole improvement emerges from a mean field approximation from the new approach. Scaling is investigated by means of the large distance static quark potential. Both, the generic and the new tadpole sche...

Black Hole Thermodynamics from Simulations of Lattice Yang-Mills Theory

Super Yang-Mills Theory on Lattice and the Transformation

A lattice formulation is one of the most powerful tools for a nonperturbative study. We present here a completely new formulation of the super Yang-Mills theory on lattice with an exact fermionic symmetry. There are several pionieering attempts for contructing super Yang-Mills theories on lattice. The first approach, the Wilson fermion and mass finetuning procedure, is a well-simulated method [...