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

dc.creatorKotzinian, A. M.
dc.creatorShevchenko, O. Yu.
dc.creatorSissakian, A. N.
dc.date2002-04-01
dc.date2002-04-26
dc.date.accessioned2026-07-07T04:13:20Z
dc.date.available2026-07-07T04:13:20Z
dc.descriptionIt 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.
dc.identifierhttps://arxiv.org/abs/hep-th/0204010
dc.identifierhttp://arxiv.org/abs/hep-th/0204010
dc.identifierPart.Nucl.Lett. 115 (2002) 29-37
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/51221
dc.subjectHigh Energy Physics - Theory
dc.titleTopological charge and topological susceptibility in connection with translation and gauge invariance
dc.typetext

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