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

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.