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Vacuum polarization in thermal QED with an external magnetic field

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arxiv hep-th/0009204 v4 pith:4A2XP5VP submitted 2000-09-26 hep-th astro-phhep-ph

classification hep-thastro-phhep-ph
keywords fieldmagneticexternalpolarizationtemperaturevacuumcomputationscomputed
verification ladder T0 review T1 audit T2 compute T3 formal

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The one-loop vacuum polarization tensor is computed in QED with an external constant, homogeneous magnetic field at finite temperature. The Schwinger proper-time formalism is used and the computations are done in Euclidian space. The well-known results are recovered when the temperature and/or the magnetic field are switched off and the effect of the magnetic field on the Debye screening is discussed.

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  1. Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field

    hep-ph 2019-08 conditional novelty 6.0 of 10

    In the linear sigma model with quarks, the neutral pion mass first falls and then rises as the external magnetic field grows, a nonmonotonic curve that the earlier weak-field calculation did not show.

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