Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field

  • In the strong uniform magnetic field, the noncommutative plane (NCP) caused by the lowest Landau level (LLL) effect, and QED with NCP (QED-NCP) are studied. Being similar to the condensed matter theory of quantum Hall effect, an effective filling factor f(B) is introduced to characterize the possibility that the electrons stay on the LLL. The analytic and numerical results of the differential cross section for the process of backward Compton scattering in accelerator with unpolarized or polarized initial photons are calculated. The existing data of BL38B2 in Spring-8 have been analyzed roughly and compared with the numerical predictions primitively. We propose a precise measurement of the differential cross sections of backward Compton scattering in a strong
    perpendicular magnetic field, which may reveal the effects of NCP.

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  • [1] . Snyder H S. Phys. Rev., 1947, 71: 38; Douglas M R,Nekrasov N A. Rev. Mod. Phys., 2001, 73: 977; Szabo R J. Int. J. Mod. Phys. A, 2004, 19: 18372. Hayakawa M. Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R4. hep-th/9912167; Riad I F, Sheikh-Jabbari M M. JHEP, 2000,0008: 0453. Gusynin V P, Minransky V A, Shovkovy I A. Phys. Lett. B,1995, 349: 477; Gorbar E V, Minransky V A. Phys. Rev. D,2004, 70: 105007; Gorbar E V, Hashimoto M, Minransky V A. Phys. Lett. B, 2005, 611: 2074. Susskind L. The Quantum Hall Fluid and Non-Commutative Chern Simons Theory. hep-th/01010295. mer F. Dayi, Ahmed Jellal. J. Math. Phys., 2002, 43:45926. Landau L D, Lifshitz E M. Quantum Mechanics (Nonrelativistic Theory). 3rd ed. Beijing World Pub. Co., 1999.455-460; Magro G. Noncommuting Coordinates in the Landau Problem. quant-ph/03020017. WANG X J, YAN M L. JHEP, 2002, 0203: 0478. Carroll S M, Harvey J A, Kostelecky V A et al. Phys. Rev.Lett., 2001, 87: 1416019. Mathews P. Phys. Rev. D, 2001, 63: 075007; Hewett J L,Petriello F J, Rizzo T G. Phys. Rev. D, 2001, 64: 075012;Godfrey S, Doncheski M A. Phys. Rev. D, 2001, 65: 01500510. Ohkuma H et al. Production of MeV Photons by the Laser Compton Scattering Using a Far Infrared Laser at Spring-8.Proceedings of EPAC 2006. Edinburgh, Scotland
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HUANG Wei, XU Wang and YAN Mu-Lin. Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field[J]. Chinese Physics C, 2008, 32(5): 342-347. doi: 10.1088/1674-1137/32/5/003
HUANG Wei, XU Wang and YAN Mu-Lin. Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field[J]. Chinese Physics C, 2008, 32(5): 342-347.  doi: 10.1088/1674-1137/32/5/003 shu
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Received: 2007-07-18
Revised: 2007-10-29
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Backward Compton scattering and QED with noncommutative plane in the strong uniform magnetic field

    Corresponding author: YAN Mu-Lin,

Abstract: 

In the strong uniform magnetic field, the noncommutative plane (NCP) caused by the lowest Landau level (LLL) effect, and QED with NCP (QED-NCP) are studied. Being similar to the condensed matter theory of quantum Hall effect, an effective filling factor f(B) is introduced to characterize the possibility that the electrons stay on the LLL. The analytic and numerical results of the differential cross section for the process of backward Compton scattering in accelerator with unpolarized or polarized initial photons are calculated. The existing data of BL38B2 in Spring-8 have been analyzed roughly and compared with the numerical predictions primitively. We propose a precise measurement of the differential cross sections of backward Compton scattering in a strong
perpendicular magnetic field, which may reveal the effects of NCP.

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