Hamiltonian approach to Z(N) lattice gauge theories

D. Horn, M. Weinstein, S. Yankielowicz

Research output: Contribution to journalArticlepeer-review


We develop a Hamiltonian formalism for Z(N) lattice gauge theories. Duality is expressed by algebraic operator relations which are the analog of the interchange of electric and magnetic fields in D=3 space dimensions. In D=2 duality is used to solve the gauge condition. This leads to a generalized Ising Hamiltonian. In D=3 our theory is self-dual. For N→ the theory turns into "periodic QED" in appropriate limits. This leads us to propose the existence of three phases for N>Nc6. Their physical properties can be classified as electric-confining, nonconfining, and magnetic-confining.

Original languageEnglish
Pages (from-to)3715-3731
Number of pages17
JournalPhysical review D
Issue number12
StatePublished - 1979


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