Asymptotic Weyl Symmetry and Its Anomaly in a Curved Spacetime

TL;DR

This paper investigates an unusual asymptotic Weyl symmetry in a (1+1)-dimensional curved spacetime, revealing its anomaly and an Unruh-like effect, with implications for quantum field theory in curved backgrounds.

Contribution

It introduces a novel interpretation of asymptotic Weyl symmetry in curved spacetime and analyzes its anomaly through boundary terms, connecting to observable effects like the Unruh phenomenon.

Findings

Identification of an approximate asymptotic Weyl symmetry in (1+1)D curved spacetime

Demonstration of the symmetry's anomaly via boundary term analysis

Discovery of an Unruh-like effect during bubble wall expansion at zero temperature

Abstract

We explore an unusual symmetry in a field theory on a specific (1+1)-dimensional curved spacetime, which has an interesting interpretation as an approximate asymptotic Weyl symmetry. Unlike the conventional Weyl symmetry, the boundary term under the variation plays a crucial role in understanding for its anomaly. After converting a two-dimensional field theory on curved spacetime to an inhomogeneous field theory, we obtain the vacuum expectation value of the energy-momentum tensor. Then, we show the existence of an Unruh-like effect in the bubble wall expansion at the zero temperature.