Inner Product in Quantum Field Theory

TL;DR

This paper develops a generalized inner product framework for tensor field theories, extending scalar field concepts, and uses it to construct two-point functions in quantum field theory.

Contribution

It introduces a generalized inner product for tensor field theories and demonstrates its application in constructing two-point functions.

Findings

Established a generalized inner product for tensor fields.

Constructed two-point functions using the new inner product.

Extended scalar field inner product concepts to tensor fields.

Abstract

In this paper we will analyse the inner product for a general tensor field theory. We will first analyse a generalized inner product for scalar field theories. Then we will use it to construct a inner product for tensor field theories. We will use this inner product to construct the two-point function.