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.
%0 Journal Article
%1 Elizalde2003Issue
%A Elizalde, E.
%D 2003
%J Journal of Physics A: Mathematical and General
%K boundary
%N 45
%P L567--L576
%R 10.1088/0305-4470/36/45/l01
%T On the issue of imposing boundary conditions on quantum fields
%U http://dx.doi.org/10.1088/0305-4470/36/45/l01
%V 36
%X 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.
@article{Elizalde2003Issue,
abstract = {{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.}},
added-at = {2019-02-23T22:09:48.000+0100},
archiveprefix = {arXiv},
author = {Elizalde, E.},
biburl = {https://www.bibsonomy.org/bibtex/2d44f0bb36f125c8c035d3cb5415d9cdc/cmcneile},
citeulike-article-id = {12441186},
citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0309075},
citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0309075},
citeulike-linkout-2 = {http://dx.doi.org/10.1088/0305-4470/36/45/l01},
day = 23,
doi = {10.1088/0305-4470/36/45/l01},
eprint = {hep-th/0309075},
interhash = {fa54703661aef98542a491edd5f7ec4c},
intrahash = {d44f0bb36f125c8c035d3cb5415d9cdc},
issn = {0305-4470},
journal = {Journal of Physics A: Mathematical and General},
keywords = {boundary},
month = sep,
number = 45,
pages = {L567--L576},
posted-at = {2013-06-21 10:00:03},
priority = {2},
timestamp = {2019-02-23T22:15:27.000+0100},
title = {{On the issue of imposing boundary conditions on quantum fields}},
url = {http://dx.doi.org/10.1088/0305-4470/36/45/l01},
volume = 36,
year = 2003
}