Large mass expansion of the one-loop effective action induced by a scalar field on the two-dimensional Minkowski background with non-trivial $(1+1)$ splitting

Abstract

A large mass expansion of the one-loop effective action of a scalar field on the two-dimensional Minkowski spacetime is found in the system of coordinates, where the metric $g_{\mu \nu }(t,x)\ne {\eta }_{\mu \nu }=diag(1,-1)$, and $g_{\mu \nu }(t,x)$ tends to ${\eta }_{\mu \nu }$ at the spatial and temporal infinities. It is shown that, apart from the Coleman-Weinberg potential, this expansion contains the terms both analytic and non-analytic in $m^{-2}$, where $m$ is the mass of a scalar field. A general unambiguous expression for the one-loop correction to the effective action on non-stationary backgrounds is derived.

36 pp; some misprints corrected, references added

References in corpus (2)

• Propagator of a scalar field on a stationary slowly varying gravitational background
• Quantum gravitational anomaly as a dark matter

Cited by in corpus (2)

• Inclusive probability of particle creation on classical backgrounds
• Ultraviolet asymptotics of particle creation with respect to a congruence of observers