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

Eduardo H Fradkin, Mark Srednicki, Leonard Susskind

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2885-2891
Number of pages7
JournalPhysical Review D
Volume21
Issue number10
DOIs
StatePublished - Jan 1 1980

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gauge theory
fermions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

Fermion representation for the Z2 lattice gauge theory in 2+1 dimensions. / Fradkin, Eduardo H; Srednicki, Mark; Susskind, Leonard.

In: Physical Review D, Vol. 21, No. 10, 01.01.1980, p. 2885-2891.

Research output: Contribution to journalArticle

Fradkin, Eduardo H ; Srednicki, Mark ; Susskind, Leonard. / Fermion representation for the Z2 lattice gauge theory in 2+1 dimensions. In: Physical Review D. 1980 ; Vol. 21, No. 10. pp. 2885-2891.
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