Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate

XU Fu-Kun; HUANG Mei

doi:10.1088/1674-1137/37/1/014103

Chinese Physics C> 2013, Vol. 37> Issue(1) : 014103 DOI: 10.1088/1674-1137/37/1/014103

Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate

XU Fu-Kun ,
HUANG Mei

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Abstract：
Electric and magnetic screenings of the thermal gluons are studied by using the background expansion method in a gluodynamic model with gauge invariant dimension-2 gluon condensate at zero momentum. At low temperature, the electric and magnetic gluons are degenerate. With the increase of temperature, it is found that the electric and magnetic gluons start to split at certain temperature T₀. The electric screening mass changes rapidly with temperature when T > T₀, and the Polyakov loop expectation value rises sharply around T₀ from zero in the vacuum to a value around 0.8 at high temperature. This suggests that the color electric deconfinement phase transition is driven by electric gluons. It is also observed that the magnetic screening mass keeps almost the same as its vacuum value, which manifests that the magnetic gluons remain confined. Both the screening masses and the Polyakov loop results are qualitatively in agreement with the Lattice calculations.

References

[1]

Nambu Y. Phys. Rev., 1960, 117: 648-663[2] Nambu Y. In Symmetries and Quark Models. Ed. Chand R, Gordon and Breach. 1970; Nambu Y. Phys. Rev. D, 1974, 10: 4262; Submitted to the 15th International Conference on High Energy Physics. Kiev, 1970; Nielsen H B, Olesen P. Nucl. Phys. B, 1973, 61: 45; Susskind L. Nuovo Cim. A, 1970, 69: 457[3] 't Hooft. Nucl. Phys. B, 1981, 190: 455; Mandelstam. Phys. Rep. C, 1976, 23: 245[4] 't Hooft G. Nucl. Phys. B, 1978, 138: 1[5] Greensite J. Eur. Phys. J. ST, 2007, 140: 1[6] Polyakov A M. Phys. Lett. B, 1978, 72: 477[7] Fukushima K. Phys. Lett. B, 2004, 591: 277; Ratti C, Thaler M A, Weise W. Phys. Rev. D, 2006, 73: 014019; Sasaki C, Friman B, Redlich K. Phys. Rev. D, 2007, 75: 074013; Schaefer B J, Pawlowski J M, Wambach J. Phys. Rev. D, 2007, 76: 074023; MAO H, JIN J, HUANG M. J. Phys. G, 2010, 37: 035001[8] Shifman M A, Vainshtein A I, Zakharov V I. Nucl. Phys. B, 1979, 147: 385-447; 1979, 147: 448-518[9] Boyd G, Engels J, Karsch F, Laermann E, Legeland C, Lutgemeier M, Petersson B. Nucl. Phys. B, 1996, 469: 419-444. [hep-lat/9602007][10] Schafer T, Shuryak E V. Rev. Mod. Phys., 1998, 70: 323-426 [hep-ph/9610451][11] Lavelle M J, Schaden M. Phys. Lett. B, 1988, 208: 297[12] Lavelle M, Oleszczuk M. Mod. Phys. Lett. A, 1992, 7: 3617-3630[13] Gubarev F V, Stodolsky L, Zakharov V I. Phys. Rev. Lett., 2001, 86: 2220-2222. [hep-ph/0010057][14] Verschelde H, Knecht K, van Acoleyen K, Vanderkelen M. Phys. Lett. B, 2001, 516: 307-313. [hep-th/0105018][15] Chetyrkin K G, Narison S, Zakharov V I. Nucl. Phys. B, 1999, 550: 353-374. [hep-ph/9811275][16] Gubarev F V, Zakharov V I. Phys. Lett. B, 2001, 501: 28-36. [hep-ph/0010096][17] Kondo K I. Phys. Lett. B, 2001, 514: 335. [arXiv:hep-th/0105299][18] Slavnov A A. Theor. Math. Phys., 2005, 143: 489; Teor. Mat. Fiz., 2005, 143: 3. [arXiv:hep-th/0407194][19] Blossier B, Boucaud P, Brinet M, de Soto F, LIU Z, Morenas V, Pene O, Petrov K et al. Phys. Rev. D, 2011, 83: 074506; Blossier B, Boucaud P, Brinet M, de Soto F, DU X, Gravina M, LIU Z, Morenas V et al. arXiv:1111.3023 [hep-lat][20] Boucaud P, Le Yaouanc A, Leroy J P, Micheli J, Pene O, Rodriguez-Quintero J. Phys. Rev. D, 2001, 63: 114003. [arXiv:hep-ph/0101302][21] Dudal D, Verschelde H, Gracey J A, Lemes V E R, Sarandy M S, Sobreiro R F, Sorella S P. JHEP, 2004, 0401: 044. [hep-th/0311194][22] Dudal D, Verschelde H, Browne R E, Gracey J A. Phys. Lett. B, 2003, 562: 87-96. [hep-th/0302128][23] Megias E, Ruiz Arriola E, Salcedo L L. JHEP, 2006, 0601: 073. [arXiv:hep-ph/0505215][24] Andreev O, Zakharov V I. Phys. Rev. D, 2006, 74: 025023. [arXiv:hep-ph/0604204][25] HE S, HUANG M, YAN Q S. Phys. Rev. D, 2011, 83: 045034; LI D, HE S, HUANG M, YAN Q S. JHEP, 2011, 1109: 041. [arXiv:1103.5389 [hep-th]][26] Chernodub M N, Ilgenfritz E M. Phys. Rev. D, 2008, 78: 034036. [arXiv:0805.3714 [hep-lat]][27] Vercauteren D, Verschelde H. Phys. Rev. D, 2010, 82: 085026. [arXiv:1007.2789 [hep-th]][28] GAO M. Phys. Rev. D, 1990, 41: 626[29] Heller U M, Karsch F, Rank J. Phys. Rev. D, 1998, 57: 1438-1448. [hep-lat/9710033][30] Kaczmarek O, Karsch F, Laermann E, Lutgemeier M. Phys. Rev. D, 2000, 62: 034021. [hep-lat/9908010][31] Kraemmer U, Rebhan A. Rept. Prog. Phys., 2004, 67: 351. [hep-ph/0310337][32] Chakraborty P, Mustafa M G, Thoma M H. arXiv:1109.1971 [hep-ph][33] Bowman P O, Heller U M, Leinweber D B, Parappilly M B, Williams A G. Phys. Rev. D, 2004, 70: 034509. [hep-lat/0402032][34] Kaczmarek O, Karsch F, Zantow F, Petreczky P. Phys. Rev. D, 2004, 70: 074505. [hep-lat/0406036]; Kaczmarek O, Zantow F. Phys. Rev. D, 2005, 71: 114510. [hep-lat/0503017][35] Peshier A. [hep-ph/0601119][36] Nakamura A, Saito T, Sakai S. Phys. Rev. D, 2004, 69: 014506. [hep-lat/0311024][37] Maezawa Y et al. (WHOT-QCD collaboration). Phys. Rev. D, 2010, 81: 091501. [arXiv:1003.1361 [hep-lat]][38] Fischer C S, Alkofer R. Phys. Rev. D, 2003, 67: 094020. [arXiv:hep-ph/0301094][39] Fischer C S, Maas A, Muller J A. Eur. Phys. J. C, 2010, 68: 165. [arXiv:1003.1960 [hep-ph]]; Cucchieri A, Maas A, Mendes T. Phys. Rev. D, 2007, 75: 076003. [arXiv:hep-lat/0702022][40] Celenza L S, Shakin C M. Phys. Rev. D, 1986, 34: 1591[41] LI X D, Shakin C M. Phys. Rev. D, 2005, 71: 074007. [arXiv:hep-ph/0410404][42] Savvidy G K. Phys. Lett. B, 1977, 71: 133[43] Nielsen N K, Olesen P. Nucl. Phys. B, 1978, 144: 376[44] Kondo K I. Phys. Lett. B, 2004, 600: 287. [arXiv:hep-th/0404252][45] Vercauteren D, Verschelde H. Phys. Lett. B, 2008, 660: 432. [arXiv:0712.0570 [hep-th]][46] Kapusta J I. Finite Temperature Field Theory. Cambridge: Cambridge University Press, 1989[47] Le Bellac M. Thermal Field Theory. Cambridge: Cambridge University Press, 1996[48] Roberts C D, Schmidt S M. Prog. Part. Nucl. Phys., 2000, 45: S1-S103. [nucl-th/0005064]; Alkofer R, von Smekal L. Phys. Rept., 2001, 353: 281. [arXiv:hep-ph/0007355]; Maris P, Roberts C D. Int. J. Mod. Phys. E, 2003, 12: 297. [arXiv:nucl-th/0301049][49] Geshkenbein B V. Sov. J. Nucl. Phys., 1990, 51: 719-725; Yndurain F J. Phys. Rept., 1999, 320: 287. [arXiv:hep-ph/9903457]; Ioffe B L, Zyablyuk K N. Eur. Phys. J. C, 2003, 27: 229-241. [hep-ph/0207183]; Zyablyuk K. JHEP, 2003, 0301: 081. [arXiv:hep-ph/0210103]; Samsonov A. [arXiv:hep-ph/0407199][50] Boyd G, Miller D E. arXiv:hep-ph/9608482[51] Giacomo A Di, Rossi G C. Phys. Lett. B, 1981, 100: 481; Giacomo A Di, Paffuti G. Phys. Lett. B, 1982, 108: 327[52] Ioffe B L. Phys. Atom. Nucl., 2003, 66: 30-43. [hep-ph/0207191][53] Hietanen A, Kajantie K, Laine M, Rummukainen K, Schroder Y. JHEP, 2005, 0501: 013. [arXiv:hep-lat/0412008][54] Schmidt S M, Blaschke D, Kalinovsky Y L. Phys. Rev. C, 1994, 50: 435-446; Gocke C, Blaschke D, Khalatyan A, Grigorian H. [hep-ph/0104183]; Grigorian H. Phys. Part. Nucl. Lett., 2007, 4: 223-231. [hep-ph/0602238]; Gomez Dumm D, Scoccola N N. Phys. Rev. D, 2002, 65: 074021. [arXiv:hep-ph/0107251][55] Gava E, Jengo R. Phys. Lett. B, 1981, 105: 285[56] Kaczmarek O, Karsch F, Petreczky P, Zantow F. Phys. Lett. B, 2002, 543: 41-47. [hep-lat/0207002]

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XU Fu-Kun and HUANG Mei. Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate[J]. Chinese Physics C, 2013, 37(1): 014103. doi: 10.1088/1674-1137/37/1/014103

XU Fu-Kun and HUANG Mei. Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate[J]. Chinese Physics C, 2013, 37(1): 014103. doi: 10.1088/1674-1137/37/1/014103 shu

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Received: 2012-04-28
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Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate

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Electric and magnetic screenings of gluons in a model with dimension-2 gluon condensate

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