Obtaining the Gauge Invariant Kinetic Term for a SU(n)$_U$ x SU(m)$_V$ Lagrangian

Alex E. Bernardini

doi:10.1007/s10773-007-9523-y

paper

Obtaining the Gauge Invariant Kinetic Term for a SU(n) $_{U}$ x SU(m) $_{V}$ Lagrangian

arXiv:0711.4690 · doi:10.1007/s10773-007-9523-y

Abstract

We propose a generalized way to formally obtain the gauge invariance of the kinetic part of a field Lagrangian over which a gauge transformation ruled by an $S U (n)_{U} \otimes S U (m)_{V}$ coupling symmetry is applied. As an illustrative example, we employ such a formal construction for reproducing the standard model Lagrangian. This generalized formulation is supposed to contribute for initiating the study of gauge transformation applied to generalized $S U (n)_{U} \otimes S U (m)_{V}$ symmetries as well as for complementing an introductory study of the standard model of elementary particles.

6 pages

References in corpus (1)

A geometric basis for the standard-model gauge group

Obtaining the Gauge Invariant Kinetic Term for a SU(n)U​ x SU(m)V​ Lagrangian

Abstract

References in corpus (1)

Obtaining the Gauge Invariant Kinetic Term for a SU(n) $_{U}$ x SU(m) $_{V}$ Lagrangian