Renormalization properties of the mass operator A μ a A μ a in three-dimensional Yang-Mills theories in the Landau gauge
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 μ a A μ a turns out to be expressed in terms of the fields and coupling constant...
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Published in | Annals of physics Vol. 317; no. 1; pp. 203 - 219 |
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Format | Journal Article |
Language | English |
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Abstract | 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
μ
a
A
μ
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
f
expansion. The generalization to other gauges such as the non-linear Curci–Ferrari gauge is briefly outlined. |
---|---|
AbstractList | 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
μ
a
A
μ
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
f
expansion. The generalization to other gauges such as the non-linear Curci–Ferrari gauge is briefly outlined. |
Author | Verschelde, H. Sobreiro, R.F. Lemes, V.E.R. Sorella, S.P. Gracey, J.A. Dudal, D. |
Author_xml | – sequence: 1 givenname: D. surname: Dudal fullname: Dudal, D. email: david.dudal@ugent.be organization: Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium – sequence: 2 givenname: J.A. surname: Gracey fullname: Gracey, J.A. email: jag@amtp.liv.ac.uk organization: Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool, L69 3BX, UK – sequence: 3 givenname: V.E.R. surname: Lemes fullname: Lemes, V.E.R. email: vitor@dft.if.uerj.br organization: UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Maracanã, Rio de Janeiro, Brazil – sequence: 4 givenname: R.F. surname: Sobreiro fullname: Sobreiro, R.F. email: sobreiro@uerj.br organization: UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Maracanã, Rio de Janeiro, Brazil – sequence: 5 givenname: S.P. surname: Sorella fullname: Sorella, S.P. email: sorella@uerj.br organization: UERJ, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-013 Maracanã, Rio de Janeiro, Brazil – sequence: 6 givenname: H. surname: Verschelde fullname: Verschelde, H. email: henri.verschelde@ugent.be organization: Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium |
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Snippet | Massive renormalizable Yang-Mills theories in three dimensions are analyzed within the algebraic renormalization in the Landau gauge. In analogy with the... |
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SubjectTerms | BRST quantization Field theories in lower dimensions Renormalization |
Title | Renormalization properties of the mass operator A μ a A μ a in three-dimensional Yang-Mills theories in the Landau gauge |
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