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24 April 2024 |
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Euclidean Maxwell Theory in the Presence of Boundaries. II | | Giampiero Esposito
; Alexander Yu. Kamenshchik
; Igor V. Mishakov
; Giuseppe Pollifrone
; | | Date: |
27 Jun 1995 | | Journal: | Class.Quant.Grav. 11 (1994) 2939-2950 | | Subject: | gr-qc | | Abstract: | Zeta-function regularization is applied to complete a recent analysis of the quantized electromagnetic field in the presence of boundaries. The quantum theory is studied by setting to zero on the boundary the magnetic field, the gauge-averaging functional and hence the Faddeev-Popov ghost field. Electric boundary conditions are also studied. On considering two gauge functionals which involve covariant derivatives of the 4-vector potential, a series of detailed calculations shows that, in the case of flat Euclidean 4-space bounded by two concentric 3-spheres, one-loop quantum amplitudes are gauge independent and their mode-by-mode evaluation agrees with the covariant formulae for such amplitudes and coincides for magnetic or electric boundary conditions. By contrast, if a single 3-sphere boundary is studied, one finds some inconsistencies, i.e. gauge dependence of the amplitudes. | | Source: | arXiv, gr-qc/9506061 | | Services: | Forum | Review | PDF | Favorites | |
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