### 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 language | English |
---|---|

Article number | 025003 |

Journal | Journal of Physics G: Nuclear and Particle Physics |

Volume | 37 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2010 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of Physics G: Nuclear and Particle Physics*,

*37*(2), [025003]. https://doi.org/10.1088/0954-3899/37/2/025003

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

Research output: Contribution to journal › Article

*Journal of Physics G: Nuclear and Particle Physics*, vol. 37, no. 2, 025003. https://doi.org/10.1088/0954-3899/37/2/025003

}

TY - JOUR

T1 - Vacuum energy density in the quantum Yang-Mills theory

AU - Barnaföldi, G.

AU - Gogokhia, V.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=76849090037&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=76849090037&partnerID=8YFLogxK

U2 - 10.1088/0954-3899/37/2/025003

DO - 10.1088/0954-3899/37/2/025003

M3 - Article

AN - SCOPUS:76849090037

VL - 37

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

SN - 0954-3899

IS - 2

M1 - 025003

ER -