A new approach to string theory

TL;DR

This paper introduces a novel method for constructing physical quantities in constrained quantum theories, demonstrating its application to string theory and expressing scattering amplitudes in terms of these new quantities.

Contribution

It presents a new approach to quantizing theories with Lie algebra constraints and applies it to string theory, enabling new expressions for scattering amplitudes.

Findings

Scattering amplitudes in bosonic string theory can be expressed using new physical quantities.

The techniques are applicable to superstring and heterotic string theories.

The approach offers a new perspective on quantization of constrained systems.

Abstract

In the present paper we consider quantum theories obtained by quantization of classical theories with first-class constraints assuming that these constraints form a Lie algebra. We show that in this case, one can construct physical quantities of a new type. We apply this construction to string theory. We find that scattering amplitudes in critical bosonic closed string theory can be expressed in terms of physical quantities of the new type. Our techniques can be applied also to superstring and heterotic string.