Power counting of loop diagrams in general relativity
JF Donoghue, T Torma�- Physical Review D, 1996 - APS
JF Donoghue, T Torma
Physical Review D, 1996•APSA class of loop diagrams in general relativity appears to have a behavior which would upset
the utility of the energy expansion for quantum effects. We show through the study of specific
diagrams that cancellations occur which restore the expected behavior of the energy
expansion. By considering the power counting in a physical gauge we show that the
apparent bad behavior is a gauge artifact, and that the quantum loops enter with a well-
behaved energy expansion.
the utility of the energy expansion for quantum effects. We show through the study of specific
diagrams that cancellations occur which restore the expected behavior of the energy
expansion. By considering the power counting in a physical gauge we show that the
apparent bad behavior is a gauge artifact, and that the quantum loops enter with a well-
behaved energy expansion.
Abstract
A class of loop diagrams in general relativity appears to have a behavior which would upset the utility of the energy expansion for quantum effects. We show through the study of specific diagrams that cancellations occur which restore the expected behavior of the energy expansion. By considering the power counting in a physical gauge we show that the apparent bad behavior is a gauge artifact, and that the quantum loops enter with a well-behaved energy expansion.
American Physical Society