Some Aspects of Supersymmetric Field Theories with Minimal Length and Maximal Momentum

Abstract

We consider a real scalar field and a Majorana fermion field to construct a supersymmetric quantum theory of free fermion fields based on the deformed Heisenberg algebra $[x,p]=i\hslash (1-\beta p+2{\beta }^2{p}^2)$, where $\beta$ is a deformation parameter. We present a deformed supersymmetric algebra in the presence of minimal length and maximal momentum.

11 pages

References in corpus (2)

• A proposal for testing Quantum Gravity in the lab
• Interpretation of Quantum Field Theories with a Minimal Length Scale