Spectral problems from quantum field theory
Abstract
We describe how spectral functions of differential operators appear in the quantum field theory context. We formulate consistency conditions which should be satisfied by the operators and by the boundary conditions. We review some modern developments in quantum field theory and strings and show which new spectral and boundary value problems arise.
 Publication:

arXiv eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:mathph/0403052
 Bibcode:
 2004math.ph...3052V
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 Mathematics  Mathematical Physics;
 58J50;
 81T20
 EPrint:
 19p., a talk at the Spectral Geometry Workshop, Holbaek, 2003, to be published in Contemporary Mathematics