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

HUANG Wei; XU Wang; YAN Mu-Lin

doi:10.1088/1674-1137/32/5/003

Chinese Physics C> 2008, Vol. 32> Issue(5) : 342-347 DOI: 10.1088/1674-1137/32/5/003

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

Abstract
HTML
Reference
Related

PDF

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.

References

[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

[1]	Sheng-Qin Feng , Xin Ai , Lei Pei , Fei Sun , Yang Zhong , Zhong-Bao Yin . Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium. Chinese Physics C, 2018, 42(5): 054102. doi: 10.1088/1674-1137/42/5/054102
[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]	DU Jun , LUO Zhi-Quan , LI Ping-Ping . Effects of ultra-strong magnetic field on electron capture rates of ⁵⁵Co and ⁵⁶Ni in the magnetar surrounding. Chinese Physics C, 2014, 38(1): 015102. doi: 10.1088/1674-1137/38/1/015102
[4]	WU Yang , XU Zhou , LI Zheng-Hong , MA Qiao-Sheng , TANG Chuan-Xiang . High efficiency X-band relativistic backward wave oscillator with non-uniform slow wave structures. Chinese Physics C, 2012, 36(8): 750-752. doi: 10.1088/1674-1137/36/8/011
[5]	LI Dong-Guo . Laser Compton scattering for a linearly polarized laser. Chinese Physics C, 2011, 35(4): 405-410. doi: 10.1088/1674-1137/35/4/016
[6]	YU Wei-Lin (on behalf of the HERMES collaboration) . Deeply virtual compton scattering at HERMES. Chinese Physics C, 2010, 34(9): 1476-1478. doi: 10.1088/1674-1137/34/9/076
[7]	LIU Wei-Wei , LUO Zhi-Quan , ZHANG Jie , GAO Jie , BIAN Gang . Influence of super-strong magnetic field on the electron chemical potential and β decay in the stellar surroundings. Chinese Physics C, 2010, 34(8): 1090-1093. doi: 10.1088/1674-1137/34/8/010
[8]	MA Qiao-Sheng , LIU Zhong , WU Yong , JIN Xiao . Experimental investigation of the relativistic backward wave oscillator with a periodic guiding magnetic field. Chinese Physics C, 2010, 34(4): 499-501. doi: 10.1088/1674-1137/34/4/016
[9]	QIN Meng , TIAN Dong-Ping . Bipartite entanglement in a two-qubit Heisenberg XXZ chain under aninhomogeneous magnetic field. Chinese Physics C, 2009, 33(4): 249-251. doi: 10.1088/1674-1137/33/4/002
[10]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[11]	LIU Jun , JIA Wen-Zhi , WANG Shun-Jin . Microscopic calculation of the magnetic field of neutron stars. Chinese Physics C, 2009, 33(9): 737-742. doi: 10.1088/1674-1137/33/9/005
[12]	MA Qiao-Sheng , FAN Zhi-Kai , ZHOU Chuan-Ming . Simulation of the relativistic backward wave oscillator with a sinusoidal guiding magnetic field. Chinese Physics C, 2009, 33(3): 232-235. doi: 10.1088/1674-1137/33/3/013
[13]	ZHONG Jun-Qing , AN Shi-Zhong , YAO Hong-Juan , ZHANG Tian-Jue , BI Yuan-Jie . Influence of radial magnetic field on emittance in the median plane at CYCIAE-100. Chinese Physics C, 2009, 33(S2): 53-55. doi: 10.1088/1674-1137/33/S2/014
[14]	YUE Peng , SHEN Hong . Antikaon condensation in neutron star matter with strong magnetic fields. Chinese Physics C, 2008, 32(S2): 85-88.
[15]	WEI Gao-Feng , LONG Chao-Yun , LONG Zheng-Wen , QIN Shui-Jie . Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space. Chinese Physics C, 2008, 32(4): 247-250. doi: 10.1088/1674-1137/32/4/001
[16]	MA Qiao-Sheng , WU Yong , FAN Zhi-Kai , GAN Yan-Qing , JIN Xiao , ZHOU Chuan-Ming . Experimental investigation of backward wave oscillator with low magnetic field. Chinese Physics C, 2008, 32(3): 222-226. doi: 10.1088/1674-1137/32/3/013
[17]	SU Jian , MA Bo-Qiang . Applicability of Perturbative QCD to Virtual Compton Scattering. Chinese Physics C, 2004, 28(2): 116-121.
[18]	Mao Zhenlin . A Wide-Range Magnetic Spectrometer For Electron Scattering In Medium Energy Range. Chinese Physics C, 1988, 12(S3): 219-228.
[19]	Zhang Chuang , Chen Siyu . A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors. Chinese Physics C, 1988, 12(S2): 181-188.
[20]	LU JING-XIAN . THE INFLUENCE OF THE GLUON DISTRIBUTION FUNCTION IN PROTON ON THE QED COMPTON EFFECT IN γ-p COLLISIONS. Chinese Physics C, 1982, 6(4): 442-447.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-07-18
Revised: 2007-10-29

Article Metric

Article Views(4435)
PDF Downloads(643)
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

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

Corresponding author: YAN Mu-Lin,

Received Date: 2007-07-18

Accepted Date: 2007-10-29

Available Online: 2008-05-05

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.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article