Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory

Details Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory Renormalizing a BRST-invariant composite operator of mass dimension 2 in Yang-Mills theory

2001-11-28

arxiv.org/abs/hep-th/0111256v2

Phys.Rev. D65 (2002) 085034

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, 35 eps-files, A number of typographic errors are corrected. A paragraph is added in the beginning of section 5.3. Tw

Scientific paper

10.1103/PhysRevD.65.085034

We discuss the renormalization of a BRST and anti-BRST invariant composite operator of mass dimension 2 in Yang-Mills theory with the general BRST and anti-BRST invariant gauge fixing term of the Lorentz type. The interest of this study stems from a recent claim that the non-vanishing vacuum condensate of the composite operator in question can be an origin of mass gap and quark confinement in any manifestly covariant gauge, as proposed by one of the authors. First, we obtain the renormalization group flow of the Yang-Mills theory. Next, we show the multiplicative renormalizability of the composite operator and that the BRST and anti-BRST invariance of the bare composite operator is preserved under the renormalization. Third, we perform the operator product expansion of the gluon and ghost propagators and obtain the Wilson coefficient corresponding to the vacuum condensate of mass dimension 2. Finally, we discuss the connection of this work with the previous works and argue the physical implications of the obtained results.

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