2004/03/28 by Dmitri V. Vassilevich
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #msc:58J50 #msc:81T20
published as Contemp.Math. 366 (2005) 3-22 · 19p., a talk at the Spectral Geometry Workshop, Holbaek, 2003, to be published in Contemporary Mathematics
arxiv created 2004/03/28 · arxiv updated 2009/12/01
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.