Functional determinants in quantum field theory

By G. Dunne. 2007

151 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a22c0cdb882a00e09a88cdffccfa642204a17e86

How researchers see this paper

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In Algebra and Number Theory

1. A. Cherman
2. Daniele Dorigoni
3. M. Unsal

In Geometry and Topology

1. A. Cherman
2. Daniele Dorigoni
3. M. Unsal

In Statistical and Nonlinear Physics

1. Daniele Dorigoni
2. A. Cherman
3. M. Unsal
4. P. Argyres
5. G. Dunne

Citations in the corpus

• Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles (2014, methodology): “The determinant can be evaluated in multiple different ways [39, 79], for example, via the Gelfand-Yaglom method [94].”