Noncommutative Gauge Fields and Mass Generation

Abstract

It is well known that a typical Yang-Mills Gauge Field is mediated by massless Bosons. It is only through a symmetry breaking mechanism, as in the Salam-Weinberg model that the quanta of such an interaction field acquire a mass in the usual theory. Here we demonstrate that without taking recourse to the usual symmetry breaking mechanism, it is possible to have massive Gauge Fields, given a noncommutative geometrical underpinning for spacetime.

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