A note on the Loop Formula for the fermionic determinant
High Energy Physics - Lattice
2016-08-03 v3 Mathematical Physics
math.MP
Abstract
A formula expressing the fermionic determinant as an infinite product of smaller determinants is derived and discussed. These smaller determinants are of a fixed size, independent of the size of the lattice and are indexed by loops of increasing length.
Keywords
Cite
@article{arxiv.1512.07480,
title = {A note on the Loop Formula for the fermionic determinant},
author = {Erhard Seiler and Ion-Olimpiu Stamatescu},
journal= {arXiv preprint arXiv:1512.07480},
year = {2016}
}
Comments
Version 3: 22 pages; Introduction and Conclusions somewhat expanded; some errors corrected