Non-renormalization for the Liouville wave function

TL;DR

This paper demonstrates, using an exact functional approach, that the kinetic term of the Liouville field remains unchanged under renormalization, highlighting a non-renormalization property.

Contribution

It introduces a non-renormalization result for the Liouville wave function using an exact functional method within the gradient expansion framework.

Findings

The Liouville kinetic term is not renormalized.

The method confirms the stability of the wave function under quantum corrections.

Provides a new perspective on Liouville theory's quantum properties.

Abstract

Using an exact functional method, within the framework of the gradient expansion for the Liouville effective action, we show that the kinetic term for the Liouville field is not renormalized.