Topological excitations and Monte Carlo simulation of Abelian gauge theory

T. A. DeGrand, Doug Toussaint

Research output: Contribution to journalArticlepeer-review

477 Scopus citations


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
Issue number10
StatePublished - 1980

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


Dive into the research topics of 'Topological excitations and Monte Carlo simulation of Abelian gauge theory'. Together they form a unique fingerprint.

Cite this