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

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

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 param...

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Veröffentlicht in:The European physical journal. C, Particles and fields Particles and fields, 2019-07, Vol.79 (7), p.1-17, Article 628
Hauptverfasser: Batalin, Igor A., Lavrov, Peter M., Tyutin, Igor V.
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy
Astrophysics and Cosmology
Dependence
Elementary Particles
Fermions
Fields (mathematics)
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameters
Physical properties
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Yang-Mills theory
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Zusammenfassung: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.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-019-7142-4