ar X iv : h ep - t h / 96 01 00 6 v 1 3 J an 1 99 6 1 - LOOP EFFECTIVE ACTION ON THE 4 - BALL
نویسنده
چکیده
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. PACS numbers: 0370, 0460
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تاریخ انتشار 1996