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arXiv · hep-th/9601006

One-Loop Effective Action on the Four-Ball

Giampiero Esposito·Alexander Yu. Kamenshchik·Giuseppe Pollifrone
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Abstract

This paper applies $ζ$-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, vacuum Maxwell theory is studied and the contribution of all perturbative modes to $ζ'(0)$ is derived: transverse, longitudinal and normal modes of the electromagnetic potential, jointly with ghost modes. The analysis is performed on 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 $ζ'(0)$ resulting from longitudinal, normal and ghost modes.

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Giampiero Esposito, Alexander Yu. Kamenshchik, Giuseppe Pollifrone. 1996-01-03. One-Loop Effective Action on the Four-Ball. https://doi.org/10.1088/0264-9381%2F13%2F5%2F013

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