Quantum electrodynamics with arbitrary charge on a noncommutative space

ZHOU Wan-Ping; CAI Shao-Hong; LONG Zheng-Wen

doi:10.1088/1674-1137/33/1/003

Chinese Physics C> 2009, Vol. 33> Issue(1) : 10-14 DOI: 10.1088/1674-1137/33/1/003

Quantum electrodynamics with arbitrary charge on a noncommutative space

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Abstract：
Using the Seiberg-Witten map, we obtain a quantum electrodynamics on a
noncommutative space, which has arbitrary charge and keep the gauge
invariance to at the leading order in theta. The one-loop divergence and
Compton scattering are reinvestigated. The noncommutative effects are larger
than those in ordinary noncommutative quantum electrodynamics.

References

[1]

Snyder H S. Phys. Rev., 1947, 71: 38; Phys. Rev., 1947, 72: 682 Seiberg N, Witten E. JHEP, 1999, 9909: 0323 Polchinski J. String Theory. Cambridge:Cambridge Univer-sity Press, 19984 JING Jian, LONG Zheng-Wen. Phys. Rev. D, 2005, 72:1260025 Chakraborty B, Gangopadhyay S, Hazra A G. Phy. Rev.D, 2006, 74: 1050116 Gangopadhyay S, Hazra A G. Phys. Rev. D, 2007, 75:0650267 FU Yong-Ming, SHENG Zheng-Mao. Phys. Rev. D, 2007,75: 0650258 Devoto A, Chiara S D, Repko W W. Phys. Rev. D, 2005,72: 0560069 Calmet X. Eur Phys. J. C, 2007, 50: 113-11610 Hayakawa M. Phys. Lett. B, 2000, 478: 394-40011 Hayakawa M. arXiv:hep-th/991216712 Arfaei H, Yavartanoo M H. arXiv:hep-th/0010244v113 Binh N T. arXiv:hep-th/0301084v114 Chaichian M. Phys. Lett. B, 2002, 526: 132-13615 Jurco B, Schraml S, Schupp P et al. Eur. Phys. J. C, 2000,17: 521-52616 Latas D, Radovanovic V, Trampetic J. ar Xiv: hep-th/0703018v217 Calmet X. Eur. Phys. J. C, 2002, 23: 363-376

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ZHOU Wan-Ping, CAI Shao-Hong and LONG Zheng-Wen. Quantum electrodynamics with arbitrary charge on a noncommutative space[J]. Chinese Physics C, 2009, 33(1): 10-14. doi: 10.1088/1674-1137/33/1/003

ZHOU Wan-Ping, CAI Shao-Hong and LONG Zheng-Wen. Quantum electrodynamics with arbitrary charge on a noncommutative space[J]. Chinese Physics C, 2009, 33(1): 10-14. doi: 10.1088/1674-1137/33/1/003 shu

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Received: 2008-04-14
Revised: 2008-06-18

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沈阳化工大学材料科学与工程学院沈阳 110142

Quantum electrodynamics with arbitrary charge on a noncommutative space

Corresponding author: ZHOU Wan-Ping,

Received Date: 2008-04-14
Accepted Date: 2008-06-18
Available Online: 2009-01-11

Abstract:

Using the Seiberg-Witten map, we obtain a quantum electrodynamics on a
noncommutative space, which has arbitrary charge and keep the gauge
invariance to at the leading order in theta. The one-loop divergence and
Compton scattering are reinvestigated. The noncommutative effects are larger
than those in ordinary noncommutative quantum electrodynamics.