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- W3099852289 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, 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 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 $zeta'(0)$ resulting from longitudinal, normal and ghost modes." @default.
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- W3099852289 date "1996-05-01" @default.
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- W3099852289 title "1-loop effective action on the 4-ball" @default.
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- W3099852289 doi "https://doi.org/10.1088/0264-9381/13/5/013" @default.
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