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1 | We consider the models of massive second and third ranks antisymmetric tensor fields (massive 2- and 3-forms) in arbitrary four-dimensional curved space-time. We perform quantization of these models in p-forms formalism, and evaluation of the effective actions. The gauge invariance of massive theory is restored with help of the multi-step Stuckelberg procedure. The result is noted in terms of d`Alembertians acting on p-forms. Keywords: quantum fields in curved space-time, antisymmetric tensor fields, gauge field theories, effective action. | 859 | ||||
2 | We consider massive p-forms in arbitrary D-dimensional curved space-time. Quantization of these models has been performed. The massive theories of p-forms do not possess gauge invariance, in contrary of massless theories. We restore the gauge invariance in massive p-forms models with help of the multi-step Stuckelberg procedure and we evaluate the effective actions. The result is presented in terms of d`Alembertians acting on p-forms. Keywords: quantum fields in curved space-time, antisymmetric tensor fields, p-forms, gauge field theories, effective action | 918 | ||||
3 | We consider models of massless p-ranks antisymmetric tensor fields (p-forms) in arbitrary D-dimensional curved space-time (p d D). Quantization of these models has been performed. We evaluate the effective actions of these models. The result is presented in terms of d`Alembertians acting on p-forms. Keywords: quantum fields in curved space-time, antisymmetric tensor fields, p-forms, gauge field theories, effective action | 911 | ||||
4 | 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 | 904 |