Background-field method versus normal field theory in explicit examples: One-loop divergences in the S matrix and Green's functions for Yang--Mills and gravitational fields

Journal Article · Sat Nov 15 00:00:00 EST 1975 · Phys. Rev., D, v. 12, no. 10, pp. 3203-3213

DOI:https://doi.org/10.1103/PhysRevD.12.3203· OSTI ID:4075921

Grisaru, M T; van Nieuwenhuizen, P; Wu, C C

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 S-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. (AIP)

• Research Organization: Department of Physics, Brandeis University, Waltham, Massachusetts 02154
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021900
• OSTI ID: 4075921
• Journal Information: Phys. Rev., D, v. 12, no. 10, pp. 3203-3213, Other Information: Orig. Receipt Date: 30-JUN-76
• Country of Publication: United States
• Language: English

Related Subjects

N76200* -Physics (Theoretical)-Quantum Field Theories
N76300 -Physics (Theoretical)-Gravitation & General Relativity
641300*
*GRAVITATIONAL FIELDS- S MATRIX
*QUANTUM FIELD THEORY- GRAVITATIONAL INTERACTIONS
*YANG-MILLS THEORY- S MATRIX
GAUGE INVARIANCE