Chin. Phys. Lett.  2007, Vol. 24 Issue (10): 2769-2772    DOI:
Original Articles |
Transition Temperature of Two-Degenerate-Flavour QCD in the Chiral Limit
WU Liang-Kai;LUO Xiang-Qian
School of Physics and Engineering, Zhongshan (Sun Yat-Sen) University, Guangzhou 510275
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WU Liang-Kai, LUO Xiang-Qian 2007 Chin. Phys. Lett. 24 2769-2772
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Abstract We present the results for the transition temperature of quantum chromodynamics (QCD) with two degenerate flavours (Nf=2) of Wilson quarks. On lattice 83×4 with 4 representing the temporal extent, by using the Ferrenberg--Swendsen reweighting method, we determine the critical β=6/g2 where the transition occurs, g is the coupling constant. On lattice 82×20×4, by using the axial vector Ward--Takahashi identity, we calculate the current quark mass amq, a is the lattice spacing. Assuming the O(4) scaling, the critical β in the chiral limit is determined. We calculate the ρ meson mass amρ at zero temperature on lattice 83×20. By using the experimental ρ meson mass to set the scale, we obtain 194(1)MeV for the transition temperature in the chiral limit.
Keywords: 11.10.Wx      12.38.Gc      11.15.Ha     
Received: 17 June 2007      Published: 20 September 2007
PACS:  11.10.Wx (Finite-temperature field theory)  
  12.38.Gc (Lattice QCD calculations)  
  11.15.Ha (Lattice gauge theory)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2007/V24/I10/02769
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WU Liang-Kai
LUO Xiang-Qian
[1] Bitar K M et al 1991 Phys. Rev. D 43 2396
[2]Gottlieb S A et al 1987 Phys. Rev. Lett. 59 1513
[3] Bornyakov V G et al 2005 Phys. Rev. D 71 114504
[4] Bernard C W et al 2005 Phys. Rev. D 71 034504
[5] Cheng M et al 2006 Phys. Rev. D 74 054507
[6] Ali Khan A et al 2000 Phys. Rev. D 63 034502
[7] Karsch F, Laermann E and Peikert A 2001 Nucl. Phys. B 605 579
[8] Bernard C W et al 2000 Phys. Rev. D 61 054503
[9] Pisarski R D and Wilczek F 1984 Phys. Rev. D 29 338
[10] Karsch F and Laermann E 1994 Phys. Rev. D 50 6954
[11] Karsch F 1994 Phys. Rev. D 49 3791
[12] Bochicchio M et al 1985 Nucl. Phys. B 262 331
[13] Itoh S et al 1986 Nucl. Phys. B 274 33
[14] Bernard C W et al 1994 Phys. Rev. D 49 3574
[15] Bernard C W et al 1997 Phys. Rev. D 56 5584
[16] Ferrenberg A M and Swendsen R H 1989 Phys. Rev. Lett. 63 1195
[17] Gottlieb S et al 1987 Phys. Rev. D 35 2531
[18] Iwasaki Y et al 1996 Phys. Rev. D 54 7010
[19] http://physics.utah.edu/$\sim$detar/milc/
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