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Zeta function regularization of the photon polarization tensor for a magnetized vacuum
Chao JY(巢静宜); Yu L(余浪); 黄梅;Chao, JY; Yu, L; Huang, M
2014
发表期刊PHYSICAL REVIEW D
卷号90期号:4页码:45033
摘要In this paper, we develop a systematic technique to regularize double summations of Landau levels and analytically evaluate the photon vacuum polarization at an external magnetic field. The final results are described by Lerch transcendent Phi(z, s, v) or its z derivation. We find that the tensor of vacuum polarization is split into not only longitudinal and transverse parts but also another mixture component. The results remain gauge covariant as required by the Ward identity. We obtain a complete expression of the magnetized photon vacuum polarization at any kinematic regime and any strength of magnetic field for the first time. In the weak B fields, after canceling out a logarithmic counterterm, all three scalar functions are limited to the usual photon polarization tensor without turning on a magnetic field. In the strong B fields, the calculations under the lowest Landau level approximation are only valid at the region M-2 >> q(parallel to)(2), but not correct when q(parallel to)(2) >> M-2, where an imaginary part has been missed. It reminds us that a recalculation of the gap equation under a full consideration of all Landau levels will be necessary in the near future.
学科领域Astronomy & Astrophysics; Physics
DOI10.1103/PhysRevD.90.045033
收录类别SCI
WOS记录号WOS:000341268400015
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被引频次:6[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ihep.ac.cn/handle/311005/225284
专题理论物理室
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Chao JY,Yu L,黄梅;Chao, JY,et al. Zeta function regularization of the photon polarization tensor for a magnetized vacuum[J]. PHYSICAL REVIEW D,2014,90(4):45033.
APA 巢静宜,余浪,黄梅;Chao, JY,Yu, L,&Huang, M.(2014).Zeta function regularization of the photon polarization tensor for a magnetized vacuum.PHYSICAL REVIEW D,90(4),45033.
MLA 巢静宜,et al."Zeta function regularization of the photon polarization tensor for a magnetized vacuum".PHYSICAL REVIEW D 90.4(2014):45033.
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