Scalar gauge fields
 Eduardo I. Guendelman,
 Douglas Singleton
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Abstract
In this paper we give a variation of the gauge procedure which employs a scalar gauge field, B(x), in addition to the usual vector gauge field, A _{ μ }(x). We study this variant of the usual gauge procedure in the context of a complex scalar, matter field ϕ(x) with a U(1) symmetry. We will focus most on the case when ϕ develops a vacuum expectation value via spontaneous symmetry breaking. We find that under these conditions the scalar gauge field mixes with the Goldstone boson that arises from the breaking of a global symmetry. Some other interesting features of this scalar gauge model are: (i) The new gauge procedure gives rise to terms which violate C and CP symmetries. This may have have applications in cosmology or for CP violation in particle physics; (ii) the existence of mass terms in the Lagrangian which respect the new extended gauge symmetry. Thus one can have gauge field mass terms even in the absence of the usual Higgs mechanism; (iii) the emergence of a sineGordon potential for the scalar gauge field; (iv) a natural, axionlike suppression of the interaction strength of the scalar gauge boson.
 Title
 Scalar gauge fields
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Journal of High Energy Physics
2014:96
 Online Date
 May 2014
 DOI
 10.1007/JHEP05(2014)096
 Online ISSN
 10298479
 Publisher
 Springer Berlin Heidelberg
 Additional Links
 Topics
 Keywords

 Gauge Symmetry
 Spontaneous Symmetry Breaking
 Industry Sectors
 Authors

 Eduardo I. Guendelman ^{(1)} ^{(2)}
 Douglas Singleton ^{(2)}
 Author Affiliations

 1. Physics Department, Ben Gurion University of the Negev, Beer Sheva, 84105, Israel
 2. Department of Physics, California State University, Fresno, CA, 937408031, U.S.A
