Vacuum energy density in the quantum Yang-Mills theory

G. Barnaföldi, V. Gogokhia

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Using the effective potential approach for composite operators, we have formulated a general method of calculation of the truly non-perturbative Yang-Mills vacuum energy density (this is, by definition, the bag constant apart from the sign). It is the main dynamical characteristic of the QCD ground state. Our method allows one to make it free of the perturbative contributions ('contaminations'), by construction. We also perform an actual numerical calculation of the bag constant for the confining effective charge. Its choice uniquely defines the bag constant, which becomes free of all types of perturbative contributions now, as well as possessing many other desirable properties such as colorless, gauge independence, etc. Using the trace anomaly relation further, we develop a general formalism which makes it possible to relate the bag constant to the gluon condensate not using the weak coupling solution for the corresponding β function. Our numerical result for the bag constant shows good agreement with other phenomenological estimates of the gluon condensate.

Original languageEnglish
Article number025003
JournalJournal of Physics G: Nuclear and Particle Physics
Volume37
Issue number2
DOIs
Publication statusPublished - 2010

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bags
Yang-Mills theory
flux density
vacuum
condensates
confining
contamination
quantum chromodynamics
anomalies
formalism
operators
composite materials
ground state
estimates

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Vacuum energy density in the quantum Yang-Mills theory. / Barnaföldi, G.; Gogokhia, V.

In: Journal of Physics G: Nuclear and Particle Physics, Vol. 37, No. 2, 025003, 2010.

Research output: Contribution to journalArticle

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