String theory in Lorentz-invariant time-like gauge

TL;DR

This paper develops a Lorentz-invariant time-like gauge formulation for closed bosonic string theory, demonstrating the absence of quantum anomalies and ensuring consistency of the model.

Contribution

It introduces a Lorentz-invariant time-like gauge for closed bosonic strings and proves anomaly-free quantization, advancing string theory formulations.

Findings

Quantum anomalies are absent in this gauge.

The theory maintains Lorentz invariance.

Consistent quantization of the string model is achieved.

Abstract

A theory of closed bosonic string in time-like gauge, related in Lorentz-invariant way with the world sheet, is considered. Absence of quantum anomalies in this theory is shown.