Theory of Charged Vector Mesons Interacting with the Electromagnetic Field

Abstract

It is shown that starting from the usual canonical formalism for the electromagnetic interaction of a charged vector meson with arbitrary magnetic moment one is led to a set of rules for Feynman diagrams, which appears to contain terms that are both infinite and noncovariant. These difficulties, however, can be circumvented by introducing a $\ensuremath{\xi}$-limiting process which depends on a dimensionless positive parameter $\ensuremath{\xi}\ensuremath{\rightarrow}0$. Furthermore, by using the mathematical artifice of a negative metric the theory becomes renormalizable (for $\ensuremath{\xi}>0$).