English

Functional determinants in the presence of zero modes

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

Abstract

We present a simple and accessible method which uses contour integration methods to derive formulae for functional determinants. To make the presentation as clear as possible we illustrate the general ideas using the Laplacian with Dirichlet boundary conditions on the interval. Afterwards, we indicate how more general operators as well as general boundary conditions can be covered.

Keywords

Cite

@article{arxiv.hep-th/0507005,
  title  = {Functional determinants in the presence of zero modes},
  author = {Klaus Kirsten and Alan J. McKane},
  journal= {arXiv preprint arXiv:hep-th/0507005},
  year   = {2007}
}

Comments

6 pages, published in "Norman 2003, Quantum field theory under the influence of external conditions", p. 146-151