Massive Gauge Fields and the Planck Scale

TL;DR

This paper explores massive gauge fields within doubly special relativity, incorporating the Planck length as a fundamental scale, and constructs related field quantities to analyze their physical implications.

Contribution

It introduces a framework for massive gauge fields in doubly special relativity by modifying boost parameters to include the Planck length, and calculates observables based on this approach.

Findings

Modified boost parameters incorporate the Planck length.

Constructed vector potential and field strength tensor in DSR.

Calculated physical observables as functions of the Planck length.

Abstract

The present work is devoted to massive gauge fields in special relativity with two fundamental constants-the velocity of light, and the Planck length, so called doubly special relativity (DSR). The two invariant scales are accounted for by properly modified boost parameters. Within above framework we construct the vector potential as the (1/2,0)x(0,1/2) direct product, build the associated field strength tensor together with the Dirac spinors and use them to calculate various observables as functions of the Planck length.