The Abelian Embedding Formulation of the Stueckelberg Model and its Power-counting Renormalizable Extension

Abstract

We elucidate the geometry of the polynomial formulation of the non-abelian Stueckelberg mechanism. We show that a natural off-shell nilpotent BRST differential exists allowing to implement the constraint on the sigma field by means of BRST techniques. This is achieved by extending the ghost sector by an additional U(1) factor (abelian embedding). An important consequence is that a further BRST-invariant but not gauge-invariant mass term can be written for the non-abelian gauge fields. As all versions of the Stueckelberg theory, also the abelian embedding formulation yields a non power-counting renormalizable theory in D=4. We then derive its natural power-counting renormalizable extension and show that the physical spectrum contains a physical massive scalar particle. Physical unitarity is also established. This model implements the spontaneous symmetry breaking in the abelian embedding formalism.

arXiv commentLATEX, 30 pages

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Cited by in corpus (4)

• Higgs Potential from Derivative Interactions
• Renormalizable Extension of the Abelian Higgs-Kibble Model with a dimension 6 operator
• Off-shell renormalization in the presence of dimension 6 derivative operators. III. Operator mixing and $\beta$ functions
• The Stueckelberg Mechanism in the presence of Physical Scalar Resonances