Zero-brane approach to study of particle-like solitons in classical and quantum Liouville field theory

TL;DR

This paper generalizes the effective p-brane action approach to Liouville theory near particle-like solutions, revealing unique features, and quantifies quantum corrections to the particle's mass.

Contribution

It introduces a novel application of the effective action approach to Liouville theory, including quantization with higher derivatives and quantum mass corrections.

Findings

Liouville theory exhibits distinctive features compared to previous models.

Effective action describes particle-like solutions with curvature.

Quantum corrections to mass are explicitly calculated.

Abstract

The effective p-brane action approach is generalized for arbitrary scalar field and applied for the Liouville theory near a particle-like solution. It was established that this theory has the remarkable features discriminating it from the theories studied earlier. Removing zero modes we obtain the effective action describing the solution as a point particle with curvature, quantize it as the theory with higher derivatives and calculate the quantum corrections to mass.