On the issue of imposing boundary conditions on quantum fields

Details On the issue of imposing boundary conditions on quantum fields On the issue of imposing boundary conditions on quantum fields

2003-09-07

arxiv.org/abs/hep-th/0309075v2

J.Phys. A36 (2003) L567

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures

Scientific paper

10.1088/0305-4470/36/45/L01

An interesting example of the deep interrelation between Physics and Mathematics is obtained when trying to impose mathematical boundary conditions on physical quantum fields. This procedure has recently been re-examined with care. Comments on that and previous analysis are here provided, together with considerations on the results of the purely mathematical zeta-function method, in an attempt at clarifying the issue. Hadamard regularization is invoked in order to fill the gap between the infinities appearing in the QFT renormalized results and the finite values obtained in the literature with other procedures.

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