Two-loop world-sheet effective action

TL;DR

This paper investigates quantum corrections in a string theory based on a world-sheet action measuring surface size, showing how loop corrections generate a nonzero string tension.

Contribution

It extends previous work by computing the world-sheet effective action at the second loop order, advancing understanding of quantum effects in this string model.

Findings

One-loop correction generates a nonzero string tension.

Second-order loop correction further refines the effective action.

Results support the emergence of string tension from quantum effects.

Abstract

We are studying quantum corrections in the earlier proposed string theory based on world-sheet action which measures the linear sizes of the surfaces. At classical level the string tension is equal to zero and as it was demonstrated in the previous studies one loop correction to the classical world-sheet action generates Nambu-Goto area term, that is nonzero string tension. We extend this analysis computing the world-sheet effective action in the second order of the loop expansion.