Quantization of fields based on Generalized Uncertainty Principle

TL;DR

This paper develops a quantum scalar field theory in 1+1 dimensions incorporating a Generalized Uncertainty Principle, using both canonical and path integral methods, with straightforward extension to higher dimensions.

Contribution

It introduces a novel quantization framework for scalar fields based on the Generalized Uncertainty Principle, expanding traditional quantum field theory approaches.

Findings

Successful construction of a scalar field theory under GUP

Demonstration of formalism applicability in higher dimensions

Comparison of canonical and path integral approaches

Abstract

We construct a quantum theory of free scalar field in 1+1 dimensions based on a `Generalized Uncertainty Principle'. Both canonical and path integral formalism are employed. Higher dimensional extension is easily performed in the path integral formalism.