Renormalization properties of the mass operator A{mu}aA{mu}a in three-dimensional Yang-Mills theories in the Landau gauge

Journal Article · Sun May 01 00:00:00 EDT 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2004.11.012· OSTI ID:20690156

Dudal, D ^[1]; Gracey, J A ^[2]; Lemes, V E.R. . ^[3]; Sobreiro, R F ^[3]; Sorella, S P ^[3]; Verschelde, H ^[1]

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1. Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Gent (Belgium)
2. Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX (United Kingdom)
3. UERJ, Universidade do Estado do Rio de Janeiro, Rua Sao Francisco Xavier 524, 20550-013 Maracana, Rio de Janeiro (Brazil)

Massive renormalizable Yang-Mills theories in three dimensions are analyzed within the algebraic renormalization in the Landau gauge. In analogy with the four-dimensional case, the renormalization of the mass operator A{mu}aA{mu}a turns out to be expressed in terms of the fields and coupling constant renormalization factors. We verify the relation we obtain for the operator anomalous dimension by explicit calculations in the large N{sub f} expansion. The generalization to other gauges such as the non-linear Curci-Ferrari gauge is briefly outlined.

• OSTI ID: 20690156
• Journal Information: Annals of Physics (New York), Vol. 317, Issue 1; Other Information: DOI: 10.1016/j.aop.2004.11.012; PII: S0003-4916(04)00216-7; Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANOMALOUS DIMENSION
COUPLING CONSTANTS
FIELD THEORIES
NONLINEAR PROBLEMS
QUANTIZATION
QUANTUM OPERATORS
RENORMALIZATION
THREE-DIMENSIONAL CALCULATIONS
YANG-MILLS THEORY