paper

A note on the Loop Formula for the fermionic determinant

arXiv:1512.07480 · doi:10.1088/1751-8113/49/33/335401

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.

Version 3: 22 pages; Introduction and Conclusions somewhat expanded; some errors corrected

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