Gauge (in)dependence and background field formalism
arXiv:1805.02149 · doi:10.1016/j.physletb.2019.03.009
Abstract
It is shown that the gauge invariance and gauge dependence properties of effective action for Yang-Mills theories should be considered as two independent issues in the background field formalism. Application of this formalism to formulate the functional renormalization group approach is discussed. It is proven that there is a possibility to construct the corresponding average effective action invariant under the gauge transformations of background vector field. Nevertheless, being gauge invariant this action remains gauge dependent on-shell.
14 pages, v2: typos corrected, v3:minor correction in Eqs. (2.24), v4: a reference added, misprints corrected, accepted for publication in PLB
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Cited by in corpus (10)
- Gauge invariant renormalizability of quantum gravity
- Functional renormalization group approach and gauge dependence in gravity theories
- Background field method and nonlinear gauges
- Gauge invariance of the background average effective action
- Gauge invariant renormalizability of quantum gravity
- First order formulation of the Yang-Mills theory in a background field
- RG and BV-formalism
- Gauge dependence of effective average action
- Quantum Gravity and background field formalism
- BRST, Ward identities, gauge dependence, and a functional renormalization group