Study of the gauge invariant, nonlocal mass operator Tr <i>∫ d</i><SUP>4</SUP><i>xF</i><sub>μν</sub>(D<SUP>2</SUP>)<SUP>-1</SUP><i>F</i>πν in Yang-Mills theories -: art. no. 105016



Capri, MAL, Dudal, D, Gracey, JA ORCID: 0000-0002-9101-2853, Lemes, VER, Sobreiro, RF, Sorella, SP and Verschelde, H
(2005) Study of the gauge invariant, nonlocal mass operator Tr <i>∫ d</i><SUP>4</SUP><i>xF</i><sub>μν</sub>(D<SUP>2</SUP>)<SUP>-1</SUP><i>F</i>πν in Yang-Mills theories -: art. no. 105016. PHYSICAL REVIEW D, 72 (10). 105016-.

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Abstract

The nonlocal mass operator Trd4xFμν(D2)-1Fμν is considered in Yang-Mills theories in Euclidean space-time. It is shown that the operator Trd4xFμν(D2)-1Fμν can be cast in local form through the introduction of a set of additional fields. A local and polynomial action is thus identified. Its multiplicative renormalizability is proven by means of the algebraic renormalization in the class of linear covariant gauges. The anomalous dimensions of the fields and of the mass operator are computed at one-loop order. A few remarks on the possible role of this operator for the issue of the gauge invariance of the dimension two condensates are outlined. © 2005 The American Physical Society.

Item Type: Article
Additional Information: LTH 659; arXiv Number: arXiv:hep-th/0510240v2. Additional citation information: PHYSICAL REVIEW D 72, 105016 (2005); 1550-7998/2005/72(10)/105016(21). Published 30 November 2005. 21 pages. Issue: November 2005.
Uncontrolled Keywords: GLUON POLE MASS, LANDAU GAUGE, COMPOSITE OPERATOR, GRIBOV HORIZON, COVARIANT GAUGES, ANOMALOUS DIMENSION, INFRARED BEHAVIOR, RESONANCE PHYSICS, ABELIAN GAUGE, QCD
Subjects: ?? QC ??
Divisions: Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User: Symplectic Admin
Date Deposited: 27 Oct 2008 11:15
Last Modified: 15 Mar 2024 02:21
DOI: 10.1103/PhysRevD.72.105016
Publisher's Statement : ©2005 The American Physical Society
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/412