Fine tuned vortices in lattice SU(2) gluodynamics

Abstract

We report measurements of the action associated with center vortices in SU(2) pure lattice gauge theory. In the lattice units the excess of the action on the plaquettes belonging to the vortex is approximately a constant, independent on the lattice spacing 'a'. Therefore the action of the center vortex is of order 'A/a^2', where 'A' is its area. Since the area 'A' is known to scale in the physical units, the measurements imply that the suppression due to the surface action is balanced, or fine tuned to the entropy factor which is to be an exponential of 'A/a^2'.Comment: Version accepted for publication in PLB, stylistic change

Magnetic Component of Yang-Mills Plasma

“…Lattice data [10] provides evidence for large entropy S = −(∂F/∂T ) V of the electric strings, since the average of the Wilson line W ∼ exp(−F/T ) can directly be related to free energy F = E − T S. The potential energy continues to grow above the phase transition, T c < T < 2T c , and the entropy reaches values of the order of 10, Ref. [10].On the lattice, the phenomenon of strong cancelation between energy and entropy was discovered first for magnetic strings [11]. At zero temperature magnetic strings percolate through the vacuum and provide disorder which causes confinement.…”

“…On the lattice, the phenomenon of strong cancelation between energy and entropy was discovered first for magnetic strings [11]. At zero temperature magnetic strings percolate through the vacuum and provide disorder which causes confinement.…”

“…The tachyonic mode corresponds to the monopole condensation [8]. Since there is only a single tachyonic mode of the string, the string percolation can in fact be projected into percolation of monopoles [11].A link between percolation and field theory is provided by the polymer formulation of field theory in Euclidean space [12]. One starts with classical action of a free particle, S cl = M · L, where M = M (a) is a mass parameter and L is the length of trajectory.…”

“…The tachyonic mode corresponds to the monopole condensation [8]. Since there is only a single tachyonic mode of the string, the string percolation can in fact be projected into percolation of monopoles [11].…”

Center vortices as rigid strings

“…On the other hand, closed magnetic strings, or center vortices, can be directly detected [3] and seem to be thin [4]. A model-independent argument in favor of physically thin center vortices in continuum pure Yang-Mills theory was proposed recently in [5].…”