Renormalizability of the Dynamical Two-Form

Details Renormalizability of the Dynamical Two-Form Renormalizability of the Dynamical Two-Form

1999-11-15

arxiv.org/abs/hep-th/9911107v3

Phys.Rev. D63 (2001) 105002

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 35p. additional discussion about the auxiliary vector field and possible gauge choices, relevant to the question of va

Scientific paper

10.1103/PhysRevD.63.105002

A proof of renormalizability of the theory of the dynamical non-Abelian two-form is given using the Zinn-Justin equation. Two previously unknown symmetries of the quantum action, different from the BRST symmetry, are needed for the proof. One of these is a gauge fermion dependent nilpotent symmetry, while the other mixes different fields with the same transformation properties. The BRST symmetry itself is extended to include a shift transformation by use of an anticommuting constant. These three symmetries restrict the form of the quantum action up to arbitrary order in perturbation theory. The results show that it is possible to have a renormalizable theory of massive vector bosons in four dimensions without a residual Higgs boson.

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