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arXiv 1602.01402hep-ph
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纵向光子在QED中产生手征电流

Chiral current generation in QED by longitudinal photons

J. L. Acosta Avalo, H. Perez Rojas

摘要:

本文报道了在QED中强磁化正负电子气体中具有不平衡手征性的赝矢量电流的产生。它作为QED中的手征磁效应沿外加磁场B传播。它由平行于B的微扰电场触发,与沿B传播的伪矢量纵模相关联。引入了电磁化学势,但即使化学势为零,我们的结果仍然有效。假设费米子质量为非零,这在文献中通常被认为是零。在有限温度和密度下的量子场论中,对于大质量费米子介质,发现了轴向电流的反常关系。它与阿德勒-贝尔-杰基异常有一些相似之处。从介质中的手征流的光子自能张量的表达式,它得到的电子和正电子散射的纵向光子(光锥内)的手征流的贡献,以及对创建由于纵向光子(光锥外)。在静态极限下,在最低朗道能级上得到一个电赝矢量流

英文摘要:

We report the generation of a pseudovector electric current having imbalanced chirality in an electron-positron strongly magnetized gas in QED. It propagates along the external applied magnetic field B as a chiral magnetic effect in QED. It is triggered by a perturbative electric field parallel to B, associated to a pseudovector longitudinal mode propagating along B. An electromagnetic chemical potential was introduced, but our results remain valid even for vanishing chemical potential. A nonzero fermion mass was assumed, which is usually considered vanishing in the literature. In the quantum field theory formalism at finite temperature and density, an anomaly relation for the axial current was found for a medium of massive fermions. It bears some analogy to the Adler-Bell-Jackiw anomaly. From the expression for the chiral current in terms of the photon self-energy tensor in a medium, it is obtained that electrons and positrons scattered by longitudinal photons (inside the light cone) contribute to the chiral current, as well as the pair creation due to longitudinal photons (out of light cone). In the static limit, an electric pseudovector current is obtained in the lowest Landau level

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