Ground state energy of the modified Nambu-Goto string

TL;DR

This paper calculates the semiclassical ground state energy of a modified Nambu-Goto string model, incorporating boundary and Gauss-Bonnet terms, and discusses issues related to tachyonic states.

Contribution

It introduces a modified string model with boundary and Gauss-Bonnet terms and computes its ground state energy using zeta function regularization.

Findings

Calculated the semiclassical energy of the modified string

Identified implications for the tachyonic ground state problem

Demonstrated the use of zeta function regularization in this context

Abstract

We calculate, using zeta function regularization method, semiclassical energy of the Nambu-Goto string supplemented with the boundary, Gauss-Bonnet term in the action and discuss the tachyonic ground state problem.