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Quantization of Massive 2- and 3-Forms in Curved Space-TI ME // Tomsk State Pedagogical University Bulletin. 2011. Issue 5 (107). P. 5-10

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.

QUANTIZATION OF MASSIVE P-FORMS IN CURVED SPACE-TIME // Tomsk State Pedagogical University Bulletin. 2011. Issue 8 (110). P. 24-30

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

QUANTIZATION OF MASSLESS P-FORMS IN CURVED SPACE-TIME OF ARBITRARY DIMENSIONALITY // Tomsk State Pedagogical University Bulletin. 2012. Issue 7 (122). P. 32-39

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

QUANTUM EQUIVALENCE OF MASSIVE AND MASSLESS P-FORM MODELS IN CURVED D-DIMENSIONAL SPACE // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 85-88

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