Topological density fluctuations and gluon condensate around confining string in Yang–Mills theory

Abstract

We study the structure of the confining string in Yang-Mills theory using the method of the field strength correlators. The method allows us to demonstrate that both the local fluctuations of the topological charge and the gluon condensate are suppressed in the vicinity of the string axis in agreement with results of lattice simulations.

Probing Wilson loops in AdS/QCD

“…We note that when rotated to Euclidean space, the lefthand-side in (26) does not change sign, while the righthand-side does since F 2 → F 2 E < 0. This result is in overall agreement with the results obtained through the field strength correlator method [18] and quenched lattice results [19].…”

“…The depletion of the topological charge near the Wilson loop with a strong flux-sheet is plausible, justifying a posteriori the negative coupling in (27) by analogy with the axion coupling. This result is also in overall agreement with calculations using the field strength correlation method [18] and quenched lattice results [19].…”

“…Their strong coupling to the heavy quark world-sheet as a loop of radius a, is generically (−am The depletion of the scalar quark condensate around a rectangular Wilson loop was noted in the recent lattice simulations [6]. The depletion of the scalar and pseudoscalar gluon condensates around a confining string was observed using the field strength correlator method [18] and also quenched lattice simulations [19]. These are strong support for our AdS/QCD analysis.…”

“…We thank Maxim Chernodub for bringing Refs. [18,19] to our attention after posting our paper. This work was supported by the U.S. Department of Energy under Contracts No.…”