Topological excitations and Monte Carlo simulation of Abelian gauge theory

T. A. DeGrand, William D Toussaint

Research output: Contribution to journalArticle

462 Citations (Scopus)

Abstract

We study the phase structure of lattice electrodynamics in three and four dimensions using Monte Carlo simulation, with special emphasis on the topological excitations of the theory. We formulate an operational definition of a monopole and measure the density of monopoles as a function of coupling constant. In three dimensions and for strong coupling in four dimensions monopoles screen external magnetic fields. Below a critical coupling in four dimensions the external field penetrates into the bulk of the medium; this long-range correlation essentially shows that the lattice theory in weak coupling is characterized by a massless photon.

Original languageEnglish (US)
Pages (from-to)2478-2489
Number of pages12
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume22
Issue number10
DOIs
StatePublished - 1980
Externally publishedYes

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gauge theory
monopoles
excitation
simulation
electrodynamics
photons
magnetic fields

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Topological excitations and Monte Carlo simulation of Abelian gauge theory. / DeGrand, T. A.; Toussaint, William D.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 22, No. 10, 1980, p. 2478-2489.

Research output: Contribution to journalArticle

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