QUANTUM EQUIVALENCE OF MASSIVE AND MASSLESS P-FORM MODELS IN CURVED D-DIMENSIONAL SPACE
We consider massive and massless p-forms in arbitrary D-dimensional curved space-time. Quantization of these models and evaluation of effective actions have been performed. Results are presented in terms of d'Alembertians acting on p-forms. The massive theories of p-forms do not possess gauge invariance, in contrary of massless theories. The gauge invariance is restored with help of multi-step Stuckelberg procedure. Comparising effective actions of classically equivalent theories (massless quantum theory of p-forms and theory of (D-p-2)-forms, massive quantum theory of p-forms and theory of (Dp-1)-forms), we demonstrate a quantum equivalence of corresponding models. A zeta-function excluding zero modes has been used.
Keywords: quantum elds in curved space-time, p-forms, gauge eld theories, effective action, quantum equivalence
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Issue: 13, 2012
Pages: 85 — 88
Downloads: 870