Monopole Gas in Three Dimensional SU(2) Gluodynamics
Author(s) -
M. N. Chernodub,
Katsuya Ishiguro,
Tsuneo Suzuki
Publication year - 2004
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.112.1033
Subject(s) - magnetic monopole , physics , coulomb , lattice gauge theory , abelian group , debye , lattice (music) , gauge theory , lattice field theory , quantum electrodynamics , debye length , quantum mechanics , plasma , mathematics , combinatorics , acoustics , electron
We study properties of the Abelian monopoles in the Maximal Abelianprojection of the three dimensional pure SU(2) gauge model. We match thelattice monopole dynamics with the continuum Coulomb gas model using a methodof blocking from continuum. We obtain the Debye screening length and themonopole density in continuum using numerical results for the lattice densityof the (squared) monopole charges and for the monopole action. The monopolestreated within our blocking method provide about 75% contribution to thenon--Abelian Debye screening length. We also find that monopoles form a Coulombplasma which is not dilute.Comment: 9 pages, 8 figures, RevTeX4.
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