English

Spectral problems from quantum field theory

Mathematical Physics 2007-05-23 v1 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0403052,
  title  = {Spectral problems from quantum field theory},
  author = {Dmitri V. Vassilevich},
  journal= {arXiv preprint arXiv:math-ph/0403052},
  year   = {2007}
}

Comments

19p., a talk at the Spectral Geometry Workshop, Holbaek, 2003, to be published in Contemporary Mathematics