Background-field method versus normal field theory in explicit examples: One-loop divergences in thematrix and Green's functions for Yang-Mills and gravitational fields
- 15 November 1975
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 12 (10) , 3203-3213
- https://doi.org/10.1103/physrevd.12.3203
Abstract
The gauge dependence in the background-field method of counterterms on and off the mass shell is investigated in several gauges for Yang-Mills and gravitational fields, including the axial gauge. The results agree with theorems of DeWitt and Kallosh. The relation between the quantum and classical gauge-fixing terms is discussed. It is shown how to determine specific -matrix elements in the background-field method. A complete calculation using normal field theory of the one-loop divergences of scalar-scalar scattering through graviton exchange is presented. The results agree with those obtained in the background-field method by 't Hooft and Veltman.
Keywords
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