Fermions as generalized Ising models

We establish a general map between Grassmann functionals for fermions and probability or weight distributions for Ising spins. The equivalence between the two formulations is based on identical transfer matrices and expectation values of products of observables. The map preserves locality properties...

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1. Verfasser: Wetterich, Christof (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 27 February 2017
In: Nuclear physics. B, Particle physics
Year: 2017, Jahrgang: 917, Pages: 241-271
ISSN:1873-1562
DOI:10.1016/j.nuclphysb.2017.02.012
Online-Zugang:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/j.nuclphysb.2017.02.012
Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/S0550321317300688
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Verfasserangaben:C. Wetterich

MARC

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520 |a We establish a general map between Grassmann functionals for fermions and probability or weight distributions for Ising spins. The equivalence between the two formulations is based on identical transfer matrices and expectation values of products of observables. The map preserves locality properties and can be realized for arbitrary dimensions. We present a simple example where a quantum field theory for free massless Dirac fermions in two-dimensional Minkowski space is represented by an asymmetric Ising model on a euclidean square lattice. 
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