A review on recent results of the $\zeta$-function regularization procedure in curved spacetime

TL;DR

This paper reviews recent theoretical advances in the use of the $$-function regularization method for renormalizing quantum field quantities in curved spacetime, focusing on one-loop calculations.

Contribution

It provides a comprehensive review of recent results (1997-1998) on $$-function regularization applied to curved spacetime quantum field theory.

Findings

Advances in $$-function regularization techniques

Application to renormalize effective Lagrangian, field fluctuations, stress-tensor

Focus on one-loop quantum corrections in curved spacetime

Abstract

Some recent (1997-1998) theoretical results concerning the $\zeta$-function regularization procedure used to renormalize, at one-loop, the effective Lagrangian, the field fluctuations and the stress-tensor in curved spacetime are reviewed.