Topological charge and topological susceptibility in connection with translation and gauge invariance

2002/04/26 by A. M. Kotzinian, O. Yu. Shevchenko, A. N. Sissakian
Physics and Astronomy · #hep-th

paper · pdf

published as Part.Nucl.Lett. 115 (2002) 29-37

arxiv created 2002/04/26 · arxiv updated 2009/11/30

Abstract

It is shown that the evaluation of the expectation value (EV) of topological charge density over θ-vacuum is reduced to investigation of the Chern-Simons term EV. An equation for this quantity is established and solved. EV of the topological charge density at an arbitrary θ occurs equal to zero and, as a consequence, topological susceptibility of both QCD and pure Yang-Mills vacua defined in a Wick sense is equal to zero, whereas when defined in a Dyson sense it differs from zero by the quantity proportional to the respective condensate of the chromomagnetic field. Thus, the usual Witten-Veneziano formula for the η^' meson mass is modified.

Related

• The QCD topological charge and its thermal dependence: the role of the η'
• Range of topological fluctuations in the three-flavor linear sigma model
• Comparative study of topological charge
• Mass of the η' meson in the chiral limit in the zero momentum modes enhancement quantum model of the QCD nonperturbative vacuum
• Witten Effect in 3-Form Description of θ-vacua