Abstract
We construct a vector gauge invariant transverse field configuration V^H, consisting of the well-known superfield V and of a Stueckelberg-like chiral superfield Xi . The renormalizability of the Super Yang Mills action in the Landau gauge is analyzed in the presence of a gauge invariant mass term m^2 int dV {mathcal {M}}(V^H), with {mathcal {M}}(V^H) a power series in V^H. Unlike the original Stueckelberg action, the resulting action turns out to be renormalizable to all orders.
Highlights
In this work we study the renormalizability properties of a N = 1 non-abelian gauge theory defined by a multiplet containing a massive vectorial excitation
The model we study is the supersymmetric version of a Stueckelberg-like action, in the sense that the massive gauge field is constructed by means of a compensating scalar field, preserving gauge invariance
A way to obtain information about this phenomenon is through lattice investigations which have revealed that the gluon propagator shows a massive behavior in the deep infrared non-perturbative region, while displaying positivity violations which precludes a proper particle propagation interpretation [7,8,9,10,11,12,13]
Summary
In a confining YM theory, the issue of the unitarity has to be faced through the study of suitable colorless boundstate, a topic which is still too far from the goal of the present work, whose aim is that of obtaining a renormalizable massive SPYM theory which generalizes the model of [22]. Supersymmetric generalizations of Stueckelberg-like models was studied since very early [27] but mostly concentrated on the better behaved abelian models (see [28,29,30], for instance, for a proposal of an abelian Stueckelberg sector in MSSM), with some constructions of non-abelian theories with tensor multiplets [31,32,33] and with composite gauge fields [34]. Using all of the above definitions we can construct a gauge invariant N = 1 supersymmetric Stueckelberg-like Yang–Mills model. Where we introduced the auxiliary chiral superfield A, with the following field equations δ δ A LSGF
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