Recursive method for opacity expansion at finite temperature

  • Using a reaction operator approach, we derive the multiple-scattering induced gluon number distribution function to all orders in powers of opacity at finite temperature. The detailed balance effect is analyzed by taking into account both gluon emission and absorption in a thermal medium. We also calculate virtual corrections and show that the infrared divergence cancels out in the gluon distribution function at finite temperature.
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  • [1] Wiedemann U A. Nucl. Phys. B, 2000, 588: 3032 Wiedemann U A. Nucl. Phys. A, 2001, 690: 7317513 Gyulassy M, Levai P, Vitev I. Phys. Rev. Lett., 2000, 85: 55354 Gyulassy M, Levai P, Vitev I. Nucl. Phys. B, 2001, 594: 3715 Gyulassy M, Levai P, Vitev I. Phys. Rev. D, 2002, 66: 0140056 Vitev I. Phys. Rev. C, 2007, 75: 0649067 WANG En-Ke, WANG X N. Phys. Rev. Lett., 2001, 87: 1423018 Gyulassy M, WANG X N. Nucl. Phys. B, 1994, 420: 5839 WANG X N, Gyulassy M, Plumer M. Phys. Rev. D, 1995, 51: 343610 Gunion J F, Bertsch G. Phys. Rev. D, 1982, 25: 746
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LIU Jia, KANG Zhong-Bo and WANG En-ke. Recursive method for opacity expansion at finite temperature[J]. Chinese Physics C, 2011, 35(1): 44-49. doi: 10.1088/1674-1137/35/1/010
LIU Jia, KANG Zhong-Bo and WANG En-ke. Recursive method for opacity expansion at finite temperature[J]. Chinese Physics C, 2011, 35(1): 44-49.  doi: 10.1088/1674-1137/35/1/010 shu
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Received: 2010-03-18
Revised: 2010-04-30
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Recursive method for opacity expansion at finite temperature

Abstract: Using a reaction operator approach, we derive the multiple-scattering induced gluon number distribution function to all orders in powers of opacity at finite temperature. The detailed balance effect is analyzed by taking into account both gluon emission and absorption in a thermal medium. We also calculate virtual corrections and show that the infrared divergence cancels out in the gluon distribution function at finite temperature.

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