TY - JOUR
T1 - Monopole creation operators as confinement-deconfinement order parameters
AU - Belavin, V. A.
AU - Chernodub, M. N.
AU - Polikarpov, M. I.
N1 - Funding Information:
The authors are grateful to F.V. Gubarev for useful discussions. V.A.B. and M.I.P. were partially supported by grants RFBR 02-02-17308, RFBR 01-02-17456, INTAS 00-00111 and CRDF award RP1-2364-MO-02. M.N.Ch. is supported by JSPS Fellowship P01023.
PY - 2003/2/20
Y1 - 2003/2/20
N2 - We study numerically two versions of the monopole creation operators proposed by Fröhlich and Marchetti. The disadvantage of the old version of the monopole creation operator is due to visibility of the Dirac string entering the definition of the creation operator in the theories with coexisting electric and magnetic charges. This problem does not exist for the new creation operator which is rather complicated. Using the Abelian Higgs model with a compact gauge field we show that both definitions of the monopole creation operator can serve as order parameters for the confinement-deconfinement phase transition. The value of the monopole condensate for the old version depends on the length of Dirac string. However, as soon as the length is fixed the old operator certainly discriminates between the phases with condensed and noncondensed monopoles.
AB - We study numerically two versions of the monopole creation operators proposed by Fröhlich and Marchetti. The disadvantage of the old version of the monopole creation operator is due to visibility of the Dirac string entering the definition of the creation operator in the theories with coexisting electric and magnetic charges. This problem does not exist for the new creation operator which is rather complicated. Using the Abelian Higgs model with a compact gauge field we show that both definitions of the monopole creation operator can serve as order parameters for the confinement-deconfinement phase transition. The value of the monopole condensate for the old version depends on the length of Dirac string. However, as soon as the length is fixed the old operator certainly discriminates between the phases with condensed and noncondensed monopoles.
UR - http://www.scopus.com/inward/record.url?scp=18344408064&partnerID=8YFLogxK
U2 - 10.1016/S0370-2693(03)00008-X
DO - 10.1016/S0370-2693(03)00008-X
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AN - SCOPUS:18344408064
SN - 0370-2693
VL - 554
SP - 146
EP - 154
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 3-4
ER -