Quantum Field Theory with Extra Dimensions

TL;DR

This paper generalizes the stochastic quantization scheme by introducing a bulk with arbitrary dimensions in quantum field theory, ensuring correlation functions match those of the original theory.

Contribution

It presents a novel framework for quantum field theories with higher-dimensional bulks, extending stochastic quantization to arbitrary dimensions.

Findings

Correlation functions in a slice match the original quantum field theory.

The framework generalizes stochastic quantization to higher dimensions.

Provides a new perspective on topological quantum field theories.

Abstract

We explain that a bulk with arbitrary dimensions can be added to the space over which a quantum field theory is defined. This gives a TQFT such that its correlation functions in a slice are the same as those of the original quantum field theory. This generalizes the stochastic quantization scheme, where the bulk is one dimensional.