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COLOR CONFINEMENT AND FINITE TEMPERATURE QCD PHASE TRANSITION

H. C. PANDEY

Fakultät für Physik, Universität Konstanz, Fach M 677, D-78457 Konstanz, Germany

Department of Physics, Kumaun University, Nainital-263002, India

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H. C. CHANDOLA

Department of Physics, Kumaun University, Nainital-263002, India

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, and

H. DEHNEN

Fakultät für Physik, Universität Konstanz, Fach M 677, D-78457 Konstanz, Germany

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https://doi.org/10.1142/S0217751X04017471Cited by:1 (Source: Crossref)

Abstract

We study an effective theory of QCD in which the fundamental variables are dual magnetic potentials coupled to the monopole field. Dual dynamics are then used to explain the properties of QCD vacuum at zero temperature as well as at finite temperatures. At zero temperature, the color confinement is realized through the dynamical breaking of magnetic symmetry, which leads to the magnetic condensation of QCD vacuum. The flux tube structure of SU(2) QCD vacuum is investigated by solving the field equations in the low energy regimes of the theory, which guarantees dual superconducting nature of the QCD vacuum. The QCD phase transition at finite temperature is studied by the functional diagrammatic evaluation of the effective potential on the one-loop level. We then obtained analytical expressions for the vacuum expectation value of the condensed monopoles as well as the masses of glueballs from the temperature dependent effective potential. These nonperturbative parameters are also evaluated numerically and used to determine the critical temperature of the QCD phase transition. Finally, it is shown that near the critical temperature (T_c≃0.195 GeV), continuous reduction of vacuum expectation value (VEV) of the condensed monopoles caused the disappearance of vector and scalar glueball masses, which brings a second order phase transition in pure SU(2) gauge QCD.

Keywords:

PACS: 11.30.Jw, 14.80.Hv, 12.38.Aw, 11.15.Ex

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References

H. D. Politzer, Phys. Rev. Lett. B26, 1346 (1973); D. J. Gross and F. Wilczek, Phys. Rev. Lett. 30, 1343 (1973) . Google Scholar
J. D. Stack, R. J. Wensely and S. D. Neiman, Phys. Rev. D 50, 3399 (1994), DOI: 10.1103/PhysRevD.50.3399. Crossref, Web of Science, ADS, Google Scholar
S. Hokiet al., Phys. Lett. B 272, 326 (1991), DOI: 10.1016/0370-2693(91)91838-M. Crossref, Web of Science, Google Scholar
H. Suganuma, S. Sasaki and H. Toki, Nucl. Phys. B435, 207 (1995); A. S. Kronfield, D. Schierholz and U. J. Wiese, Nucl. Phys. B293, 461 (1987) . Google Scholar
L. Van Hove, "Quark gluon plasma and particle production," CERN-TH 5236/88 . Google Scholar
Y. Iwasaki and F. Wilczek, Phys. Rev. D29, 338 (1984); J. Ratelski and B. Muller, Phys. Rev. Lett. 48, 1066 (1982) . Google Scholar
G. 't Hooft, Nucl. Phys. B 190, 455 (1981), DOI: 10.1016/0550-3213(81)90442-9. Crossref, Web of Science, Google Scholar
S. Mandelstam, Phys. Rev. D 19, 249 (1979), DOI: 10.1103/PhysRevD.19.2391. Google Scholar
G. 't Hooft, Nucl. Phys. B138, 1 (1978); A. Di Giacomo, Prog. Theor. Phys. (Suppl.) 131, 161 (1998) . Google Scholar
M. Baker, J. S. Ball and F. Zachariasen, Phys. Rev. D34, 3894 (1986); S. Maedan and T. Suzuki, Prog. Theor. Phys. 81, 229 (1989) . Google Scholar
H. J. Roth, Lattice Gauge Theories (World Scientific, Singapore, 1992) p. 1; A. S. Kronfeld, G. Schierholz and U. J. Wiese, Nucl. Phys. B293, 461 (1987) . Google Scholar
T. Suzuki and I. Yotsuyanaagi, Phys. Rev. D42, 4257 (1990); A. Di Giacomo, B. Lucini, L. Montesi and G. Pattuti, Phy. Rev. D61, 034503 (2000) . Google Scholar
H. Moden, H. Ichie, H. Suganuma and H. Toki, Phys. Rev. C57, 2564 (1998); S. Sasaki, H. Suganuma and H. Toki, Prog. Theor. Phys. 94, 3739 (1995) . Google Scholar
Z. F. Ezawa and A. Iwasaki, Phys. Rev. D25, 2681 (1982); F. Brandstater, U. J. Wiese and G. Schierholz, Phys. Lett. B272, 319 (1991) . Google Scholar
M. A. Lampert and B. Svetitsky, Phys. Rev. D61, 034011 (2000); M. Baker, J. S. Ball and F. Zachariasen, Phys. Rev. D37, 1036 (1988) . Google Scholar
H. C. Pandey and H. C. Chandola, Phys. Lett. B 476, 193 (2000), DOI: 10.1016/S0370-2693(00)00033-2. Crossref, Web of Science, ADS, Google Scholar
H. C. Chandola and H. C. Pandey, Mod. Phys. Lett. A17, 599 (2002); Int. J. Mod. Phys. A18, 1623 (2003) . Google Scholar
J. C. Collins and M. Perry, Phys. Lett. 34, 1553 (1975), DOI: 10.1103/PhysRevLett.34.1353. Web of Science, Google Scholar
C. P. Singh, Phys. Rep. 236, 147 (1993); L. McLerran, Rev. Mod. Phys. 58, 1021 (1986) . Google Scholar
G. Baym et al., Nucl. Phys. A498, 1 (1989); J. P. Blaizot et al., Nucl. Phys. A525, 1 (1991) . Google Scholar
H. Suganuma and H. Toki, Phys. Lett. B 387, 145 (1996), DOI: 10.1016/0370-2693(96)01020-9. Web of Science, ADS, Google Scholar
F. Karsch and E. Laermann, Rep. Prog. Phys. 56, 1347 (1993), DOI: 10.1088/0034-4885/56/11/001. Crossref, Web of Science, ADS, Google Scholar
Y. M. Cho, Phys. Rev. D 21, 1080 (1980), DOI: 10.1103/PhysRevD.21.1080. Crossref, Web of Science, Google Scholar
M. Tinkham, Introduction to Superconductivity, 2nd edn., International Series in Pure and Applied (McGraw-Hill, New York, 1996) p. 1. Google Scholar
D. H. Perkins, Introduction to High Energy Physics, 3rd edn. (Addision-Wesley, Massachusetts, USA, 1987) p. 297. Google Scholar
P. Abereu et al. (DELPHI Collaboration), CERN-EP/99-44 . Google Scholar
Y. M. Cho and W. Weinzierl, MPI report PAE/PTH 15/80 . Google Scholar
L. Dolan and R. Jakiw, Phys. Rev. D 9, 3320 (1974), DOI: 10.1103/PhysRevD.9.3320. Crossref, Web of Science, ADS, Google Scholar
B. Svetitsky, Phys. Rep. 132, 1 (1986), DOI: 10.1016/0370-1573(86)90014-1. Crossref, Web of Science, ADS, Google Scholar
M. Baker, J. S. Ball and F. Zachariasen. Phys. Rev. Lett. 61, 521 (1988); H. Ichie, H. Suganuma and H. Toki, Phys. Rev. D52, 2944 (1995) . Google Scholar
S. Maedan, Y. Matsubara and T. Suzuki, Prog. Theor. Phys. 84, 130 (1990), DOI: 10.1143/PTP.84.130. Crossref, Web of Science, ADS, Google Scholar
N. K. Glendenning and T. Matsu, Phys. Rev. D 28, 2890 (1983), DOI: 10.1103/PhysRevD.28.2890. Crossref, Web of Science, Google Scholar
H. Suganuma and T. Tatsumi, Phys. Lett. B 269, 371 (1991), DOI: 10.1016/0370-2693(91)90186-T. Crossref, Web of Science, ADS, Google Scholar