Euclidean Maxwell theory in the presence of boundaries. II
Abstract
Zetafunction 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 gaugeaveraging functional and hence the FaddeevPopov ghost field. Electric boundary conditions are also studied. On considering two gauge functionals which involve covariant derivatives of the 4vector potential, a series of detailed calculations shows that, in the case of flat Euclidean 4space bounded by two concentric 3spheres, oneloop quantum amplitudes are gauge independent and their modebymode evaluation agrees with the covariant formulae for such amplitudes and coincides for magnetic or electric boundary conditions. By contrast, if a single 3sphere boundary is studied, one finds some inconsistencies, i.e. gauge dependence of the amplitudes.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 December 1994
 DOI:
 10.1088/02649381/11/12/009
 arXiv:
 arXiv:grqc/9506061
 Bibcode:
 1994CQGra..11.2939E
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 24 pages, plaintex, recently appearing in Classical and Quantum Gravity, volume 11, pages 29392950, December 1994. The authors apologize for the delay in circulating the file, due to technical problems now fixed