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

Abstract
HTML
Reference
Related

PDF

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]

[1]	Harleen Dahiya . Transition magnetic moments of J^P=(3/2)⁺ decuplet to J^P=(1/2)⁺ octet baryons in the chiral constituent quark model. Chinese Physics C, 2018, 42(9): 093102. doi: 10.1088/1674-1137/42/9/093102
[2]	Cui-Bai Luo , Song Shi , Yong-Hui Xia , Hong-Shi Zong . Dynamical chiral symmetry breaking in NJL Model with a strong background magnetic field and Lorentz-violating extension of the Standard Model. Chinese Physics C, 2017, 41(6): 063104. doi: 10.1088/1674-1137/41/6/063104
[3]	N. N. Achasov , Xian-Wei Kang . On the nature of χ_c2(2P) two-gluon decay. Chinese Physics C, 2017, 41(12): 123102. doi: 10.1088/1674-1137/41/12/123102
[4]	LUAN Yi-Long , CHEN Xiao-Lin , DENG Wei-Zhen . Meson electro-magnetic form factors in an extended Nambu-Jona-Lasinio model including heavy quark flavors. Chinese Physics C, 2015, 39(11): 113103. doi: 10.1088/1674-1137/39/11/113103
[5]	ZHOU Li-Juan , ZHENG Bo , ZHONG Hong-Wei , MA Wei-Xing . Temperature dependence of quarks and gluon vacuum condensate in the Dyson-Schwinger Equations at finite temperature. Chinese Physics C, 2015, 39(3): 033101. doi: 10.1088/1674-1137/39/3/033101
[6]	WANG Hong-Min , HOU Zhao-Yu , LIU Jia-Fu , SUN Xian-Jing . Charm structure functions and gluon shadowing effects with the AdS/CFT model. Chinese Physics C, 2012, 36(8): 691-696. doi: 10.1088/1674-1137/36/8/002
[7]	. Lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory. Chinese Physics C, 2010, 34(9): 1307-1311. doi: 10.1088/1674-1137/34/9/030
[8]	YUAN Yi , LI Kang , WANG Jian-Hua , CHEN Chi-Yi . Spin-1/2 relativistic particle in a magnetic field in NC phase space. Chinese Physics C, 2010, 34(5): 543-547. doi: 10.1088/1674-1137/34/5/005
[9]	A. Maas . Describing gluons at zero and finite temperature. Chinese Physics C, 2010, 34(9): 1328-1330.
[10]	ZHUANG Peng-Fei , . Gluon Condensate in Color Superconductivity. Chinese Physics C, 2010, 34(9): 1446-1448. doi: 10.1088/1674-1137/34/9/067
[11]	HU Ming-Liang , TIAN Dong-Ping . Bipartite entanglement in spin-1/2 Heisenberg model. Chinese Physics C, 2008, 32(4): 303-307. doi: 10.1088/1674-1137/32/4/013
[12]	LI Xi-Guo , JIA Duo-Jie , GAO Yuan . Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate. Chinese Physics C, 2003, 27(1): 12-14.
[13]	Pan Feng , Dai Lianrong . Magnetic Moments of Odd a Nuclei in q-Deformed Nuclear Shell Model. Chinese Physics C, 1996, 20(S2): 197-204.
[14]	Tian Lili , Xie Qubing . Strong γ Decays Via Three Gluons. Chinese Physics C, 1993, 17(S3): 239-247.
[15]	DENG Wei-Zhen , YANG Ze-Sen . Intrinsic Condensate Method for Microsopic IBM2 and Calculation of ¹⁶⁸Er Spectrum. Chinese Physics C, 1992, 16(3): 272-277.
[16]	Bian Jianguo , Huang Tao . Correction to Goldstein Equation from the Gluon Condensate Diagram. Chinese Physics C, 1992, 16(S2): 179-186.
[17]	Zheng Xite , Liu Beishu . Calculation of a Fixed Length Fundamental SU(2) Higgs Model. Chinese Physics C, 1990, 14(S1): 45-52.
[18]	Chen Tianlun , Huang Wuqun , Jin Ke , Suo Cunchuan . β Function tor SU(2)×SU(2) Chiral Model on 2-Dimensional Random Triangle Lattice. Chinese Physics C, 1989, 13(S1): 43-48.
[19]	Yu Youwen , Sheri Pengnian . Studies of ρ and K^* Mesons Decay by the One-Gluon-Exchange Quark-Antiquark Pair Creation Model. Chinese Physics C, 1988, 12(S1): 55-58.
[20]	Li Zibang , Peng Hongan . Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei. Chinese Physics C, 1988, 12(S2): 165-174.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-04-28
Revised: 1900-01-01

Article Metric

Article Views(2012)
PDF Downloads(424)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录