Resummation of the perturbation series for an interaction of a scalar field with a quantized metric

TL;DR

This paper develops a method to resum the perturbation series for a scalar field interacting with a quantized metric, revealing modified short-distance behavior in the field's vacuum expectations.

Contribution

It provides an explicit resummation technique for the perturbation series in scalar-quantized metric interactions, highlighting changes in short-distance behavior.

Findings

Resummation of the perturbation series achieved

Modified non-canonical short distance behavior identified

Explicit summation method demonstrated

Abstract

We consider a scalar field interacting with a quantized metric varying on a submanifold (e.g. a scalar field interacting with a quantized gravitational wave). We explicitly sum up the perturbation series for the time-ordered vacuum expectation values of the scalar field. As a result we obtain a modified non-canonical short distance behavior.