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arxiv: 1512.07480 · v3 · pith:ALSYLWZYnew · submitted 2015-12-23 · ✦ hep-lat · math-ph· math.MP

A note on the Loop Formula for the fermionic determinant

classification ✦ hep-lat math-phmath.MP
keywords determinantdeterminantsfermionicformulasizesmallerderiveddiscussed
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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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