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Phys. Rev. D 21, 2885–2891 (1980)

Fermion representation for the Z2 lattice gauge theory in 2+1 dimensions

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Eduardo Fradkin
Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801

Mark Srednicki and Leonard Susskind
Department of Physics, Stanford University, Stanford, California 94305

Received 26 December 1979; published in the issue dated 15 May 1980

It is shown that the Z2 lattice gauge theory in three Euclidean dimensions is equivalent to a theory of locally interacting fermions. A Hamiltonian picture and a Lagrangian picture are derived and their relationship is discussed. The equivalent Fermi theory turns out to describe a theory of surfaces.

© 1980 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.21.2885
DOI:
10.1103/PhysRevD.21.2885
PACS: