Functional Determinants in Quantum Field Theory

Details Functional Determinants in Quantum Field Theory Functional Determinants in Quantum Field Theory

2007-11-07

arxiv.org/abs/0711.1178v1

J.Phys.A41:304006,2008

Physics

High Energy Physics

High Energy Physics - Theory

Plenary talk at QTS5 (Quantum Theory and Symmetries); 16 pp, 2 figs

Scientific paper

10.1088/1751-8113/41/30/304006

Functional determinants of differential operators play a prominent role in theoretical and mathematical physics, and in particular in quantum field theory. They are, however, difficult to compute in non-trivial cases. For one dimensional problems, a classical result of Gel'fand and Yaglom dramatically simplifies the problem so that the functional determinant can be computed without computing the spectrum of eigenvalues. Here I report recent progress in extending this approach to higher dimensions (i.e., functional determinants of partial differential operators), with applications in quantum field theory.

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