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Dual approaches for defects condensation · Around

2009

Dual approaches for defects condensation

Grigorio, L. S., Guimaraes, M. S., Rougemont, R. et al.

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We review two methods used to approach the condensation of defects phenomenon.

Analyzing in details their structure, we show that in the limit where the defects proliferate until occupy the whole space these two methods are dual equivalent prescriptions to obtain an effective theory for the phase where the defects (like monopoles or vortices) are completely condensed, starting from the fundamental theory defined in the normal phase where the defects are diluted.

Built on

P. A. M. Dirac, Proc. Roy. Soc. A 133
1948
Earlier work this paper cites.
H. B. Nielsen and P. Olesen, Vortex-Line Models for Dual Strings , Nucl. Phys. B 61
1976
Earlier work this paper cites.
C. Montonen and D. I. Olive, Magnetic Monopoles as Gauge Particles? , Phys. Lett. B 72
1977
Earlier work this paper cites.
T. Banks, R. Myerson and J. B. Kogut, Phase Transitions in Abelian Lattice Gauge Theories , Nucl. Phys. B 129
1977
Earlier work this paper cites.
B. Julia and G. Toulouse, The Many-Defect Problem: Gauge-Like Variables for Ordered Media Containing Defects , J. Physique Lett. 40
1979
Earlier work this paper cites.

Similar

H. Kleinert, Disorder Version of the Abelian Higgs Model and the Order of the Superconductive Phase Transition , Lett. Nuovo Cimento 35
1982
Cited alongside, same era.
H. Kleinert, Multivalued Fields in Condensed Matter, Electromagnetism and Gravitation (World Scientific Publishing Companing, 2007); Gauge Fields in Condensed Matter (World Scientific Publishing Companing, 1989)
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F. Quevedo and C. A. Trugenberger, Phases of Antisymmetric Tensor Fields Theories , Nucl. Phys. B 501
1997
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B. Felsager, Geometry, Particles and Fields (Springer-Verlag, 1998)
Original
1998
Cited alongside, same era.

Then

A good review about these issues is given in G. Ripka, Dual Superconductor Models of Color Confinement (Springer-Verlag, 2005), [arXiv:hep-ph/0310102]
2005
Later among the works it cites.
J. Gamboa, L. S. Grigorio, M. S. Guimaraes, F. Mendez and C. Wotzasek, Phys. Lett. B 668
Original
2008
Later among the works it cites.
L. S. Grigorio, M. S. Guimaraes and C. Wotzasek, Phys. Lett. B 674
Original
2009
Closest in time.
M. S. Guimaraes, Confinement, Duality and Violation of Lorentz Symmetry (PhD Thesis in Portuguese, 2009)
2009
Closest in time.

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