Quantization of free scalar fields in the presence of natural cutoffs (Q1949879)

Summary: We construct a quantum theory of free scalar fields in (1+1)-dimensions based on the deformed Heisenberg algebra \([\hat{x},\hat{p}]=i\hbar(1-\beta p+2\beta^2p^2)\), that admits the existence of both a minimal measurable length and a maximal momentum, where \(\beta\) is a deformation parameter. We consider both canonical and path integral formalisms of the scenario. Finally a higher dimensional extension is easily performed in the path integral formalism.