Gauge dependence and multiplicative renormalization of Yang-Mills theory with matter fields

Abstract

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism with an extra fermion vector field and a constant fermion parameter, the multiplicative character of the renormalizability is proven. The renormalization of all the physical parameters of the theory under consideration is shown to be gauge-independent.

31 pages. arXiv admin note: text overlap with arXiv:1806.02552, v2: published version

References in corpus (5)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Removing the gauge parameter dependence of the effective potential by a field redefinition
• Background gauge renormalization and BRST identities
• Multiplicative renormalization of Yang-Mills theories in the background-field formalism
• Renormalization of six-dimensional Yang-Mills theory in a background gauge field

Cited by in corpus (11)

• Gauge invariant renormalizability of quantum gravity
• Functional renormalization group approach and gauge dependence in gravity theories
• Background field method and nonlinear gauges
• The all-loop perturbative derivation of the NSVZ $\beta$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions
• The three-loop anomalous dimension and the four-loop $\beta$-function for $\mathcal{N}=1$ SQED regularized by higher derivatives
• Covariant quantization of Yang-Mills theory in the first order formalism
• The four-loop $\beta$-function from vacuum supergraphs and the NSVZ relation for $\mathcal{N}=1$ SQED regularized by higher derivatives
• The $\beta$-function of supersymmetric theories from vacuum supergraphs: a three-loop example
• Gauge invariant renormalizability of quantum gravity
• Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism
• BRST, Ward identities, gauge dependence, and a functional renormalization group