On a projection in dependence on monopole condensate in the lattice SU(2) gauge theory

V. A. Belavin; M. N. Chernodub; M. I. Polikarpov

doi:10.1134/S0021364006080029

On a projection in dependence on monopole condensate in the lattice SU(2) gauge theory

V. A. Belavin, M. N. Chernodub, M. I. Polikarpov

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study the temperature dependence of the monopole condensate in different Abelian projections of the SU(2) lattice gauge theory in the thermodynamic limit. Using the Fröhlich-Marchetti monopole creation operator, we show numerically that the monopole condensate depends strongly on the choice of the Abelian projection. Contrary to the claims in the literature, we observe that, in the Abelian-Polyakov gauge and in the field strength gauge, the monopole condensate does not vanish at the critical temperature in the large-volume limit. Therefore, the monopole condensate in these gauges is not an order parameter of the confinement-deconfinement phase transition.

Original language	English
Pages (from-to)	308-312
Number of pages	5
Journal	JETP Letters
Volume	83
Issue number	8
DOIs	https://doi.org/10.1134/S0021364006080029
State	Published - Jun 2006
Externally published	Yes

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@article{7ab0f244d9594289a3a007ac7ec08cbd,

title = "On a projection in dependence on monopole condensate in the lattice SU(2) gauge theory",

abstract = "We study the temperature dependence of the monopole condensate in different Abelian projections of the SU(2) lattice gauge theory in the thermodynamic limit. Using the Fr{\"o}hlich-Marchetti monopole creation operator, we show numerically that the monopole condensate depends strongly on the choice of the Abelian projection. Contrary to the claims in the literature, we observe that, in the Abelian-Polyakov gauge and in the field strength gauge, the monopole condensate does not vanish at the critical temperature in the large-volume limit. Therefore, the monopole condensate in these gauges is not an order parameter of the confinement-deconfinement phase transition.",

author = "Belavin, {V. A.} and Chernodub, {M. N.} and Polikarpov, {M. I.}",

note = "Funding Information: This work was supported by the Russian Foundation for Basic Research (project nos. 02-02-17308 and 01-02-17456), by the Russian Foundation for Basic Research–DFG (project nos. 03-02-04016 and 436 RUS 113/739/0), by INTAS (grant no. 00-00111), and by the U.S. Civilian Research and Development Foundation (award no. RPI-2364-MO-02). M.N.Ch. acknowledges the support of the Council of the President of the Russian Federation for Support of Leading Scientific Schools and Young Scientists (project no. MK-4019.2004.2).",

year = "2006",

month = jun,

doi = "10.1134/S0021364006080029",

language = "אנגלית",

volume = "83",

pages = "308--312",

journal = "JETP Letters",

issn = "0021-3640",

publisher = "Pleiades Publishing",

number = "8",

}

TY - JOUR

T1 - On a projection in dependence on monopole condensate in the lattice SU(2) gauge theory

AU - Belavin, V. A.

AU - Chernodub, M. N.

AU - Polikarpov, M. I.

N1 - Funding Information: This work was supported by the Russian Foundation for Basic Research (project nos. 02-02-17308 and 01-02-17456), by the Russian Foundation for Basic Research–DFG (project nos. 03-02-04016 and 436 RUS 113/739/0), by INTAS (grant no. 00-00111), and by the U.S. Civilian Research and Development Foundation (award no. RPI-2364-MO-02). M.N.Ch. acknowledges the support of the Council of the President of the Russian Federation for Support of Leading Scientific Schools and Young Scientists (project no. MK-4019.2004.2).

PY - 2006/6

Y1 - 2006/6

N2 - We study the temperature dependence of the monopole condensate in different Abelian projections of the SU(2) lattice gauge theory in the thermodynamic limit. Using the Fröhlich-Marchetti monopole creation operator, we show numerically that the monopole condensate depends strongly on the choice of the Abelian projection. Contrary to the claims in the literature, we observe that, in the Abelian-Polyakov gauge and in the field strength gauge, the monopole condensate does not vanish at the critical temperature in the large-volume limit. Therefore, the monopole condensate in these gauges is not an order parameter of the confinement-deconfinement phase transition.

AB - We study the temperature dependence of the monopole condensate in different Abelian projections of the SU(2) lattice gauge theory in the thermodynamic limit. Using the Fröhlich-Marchetti monopole creation operator, we show numerically that the monopole condensate depends strongly on the choice of the Abelian projection. Contrary to the claims in the literature, we observe that, in the Abelian-Polyakov gauge and in the field strength gauge, the monopole condensate does not vanish at the critical temperature in the large-volume limit. Therefore, the monopole condensate in these gauges is not an order parameter of the confinement-deconfinement phase transition.

UR - http://www.scopus.com/inward/record.url?scp=33745434048&partnerID=8YFLogxK

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DO - 10.1134/S0021364006080029

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AN - SCOPUS:33745434048

SN - 0021-3640

VL - 83

SP - 308

EP - 312

JO - JETP Letters

JF - JETP Letters

IS - 8

ER -

On a projection in dependence on monopole condensate in the lattice SU(2) gauge theory

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