A note on the loop formula for the fermionic determinant

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.

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Bibliographic Details
Main Authors: Seiler, Erhard (Author) , Stamatescu, Ion-Olimpiu (Author)
Format: Article (Journal)
Language:English
Published: 8 July 2016
In: Journal of physics. A, Mathematical and theoretical
Year: 2016, Volume: 49, Issue: 33
ISSN:1751-8121
DOI:10.1088/1751-8113/49/33/335401
Online Access:Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1088/1751-8113/49/33/335401
Verlag, lizenzpflichtig, Volltext: https://iopscience.iop.org/article/10.1088/1751-8113/49/33/335401
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Author Notes:Erhard Seiler and Ion-Olimpiu Stamatescu
Description
Summary: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.
Item Description:Gesehen am 27.05.2020
Physical Description:Online Resource
ISSN:1751-8121
DOI:10.1088/1751-8113/49/33/335401