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Topological excitations and Monte Carlo simulation of Abelian gauge theory
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.
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Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Cited by
The lattice gauge theory approach to quantum chromodynamics
Kogut, J. B. (1983) · Reviews of Modern Physics · doi:10.1103/revmodphys.55.775 · Cited by 555
Quark liberation at high temperature: A Monte Carlo study of SU(2) gauge theory
McLerran, L. D., & Svetitsky, B. (1981) · Physical Review D · doi:10.1103/physrevd.24.450 · Cited by 465
Monopole condensation and color confinement
Kronfeld, A. S., Laursen, M. L., Schierholz, G., & Wiese, U.-J. (1987) · Physics Letters B · doi:10.1016/0370-2693(87)90910-5 · Cited by 440
Possible evidence for Abelian dominance in quark confinement
Suzuki, T., & Yotsuyanagi, I. (1990) · Physical Review D · doi:10.1103/physrevd.42.4257 · Cited by 310
Phase transitions in quantum chromodynamics
Meyer-Ortmanns, H. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.473 · Cited by 161
Metadata
- Authors
- DeGrand, T. A., & Toussaint, D.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1980-11-15
- Volume
- 22
- Issue
- 10
- Pages
- 2478-2489
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2139939405
- Cited by
- 413
- References
- 1
- FWCI
- 4.41
- Type
- journal article
- Language
- en
- Open access
- closed
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