Spectral problems from quantum field theory

Details Spectral problems from quantum field theory Spectral problems from quantum field theory

2004-03-28

arxiv.org/abs/math-ph/0403052v1

Contemp.Math. 366 (2005) 3-22

Physics

Mathematical Physics

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

Scientific paper

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.

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