This paper applies zeta-function regularization to evaluate the 1-loop effective action for scalar field theories and Euclidean Maxwell theory in the presence of boundaries. After a comparison of two techniques developed in the recent literature, the vacuum Maxwell theory is studied and the contribution of all perturbative modes to zeta'(0) is derived: transverse, longitudinal and normal modes of the electromagnetic potential, jointly with ghost modes. The analysis is performed by imposing magnetic boundary conditions, when the Faddeev–Popov Euclidean action contains the particular gauge-averaging term which leads to a complete decoupling of all perturbative modes. It is shown that there is no cancellation of the contributions to zeta'(0) resulting from longitudinal, normal and ghost modes.
1-loop effective action on the 4-ball / Esposito, G; KAMENSHCHIK A., Yu; Pollifrone, G. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 13:5(1996), pp. 943-956. [10.1088/0264-9381/13/5/013]
1-loop effective action on the 4-ball
ESPOSITO GPrimo
;
1996
Abstract
This paper applies zeta-function regularization to evaluate the 1-loop effective action for scalar field theories and Euclidean Maxwell theory in the presence of boundaries. After a comparison of two techniques developed in the recent literature, the vacuum Maxwell theory is studied and the contribution of all perturbative modes to zeta'(0) is derived: transverse, longitudinal and normal modes of the electromagnetic potential, jointly with ghost modes. The analysis is performed by imposing magnetic boundary conditions, when the Faddeev–Popov Euclidean action contains the particular gauge-averaging term which leads to a complete decoupling of all perturbative modes. It is shown that there is no cancellation of the contributions to zeta'(0) resulting from longitudinal, normal and ghost modes.File | Dimensione | Formato | |
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