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More on the Tensor Response of the QCD Vacuum to an External Magnetic Field

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arxiv 1201.2039 v1 pith:DO2ARC3I submitted 2012-01-10 hep-ph hep-th

More on the Tensor Response of the QCD Vacuum to an External Magnetic Field

classification hep-ph hep-th
keywords magneticfieldcondensateexternalquarksusceptibilitytensoraccounting
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this Letter we discuss a few issues concerning the magnetic susceptibility of the quark condensate and the Son-Yamamoto (SY) anomaly matching equation. It is shown that the SY relation in the IR implies a nontrivial interplay between the kinetic and WZW terms in the chiral Lagrangian. It is also demonstrated that in a holographic framework an external magnetic field triggers mixing between scalar and tensor fields. Accounting for this, one may calculate the magnetic susceptibility of the quark condensate to all orders in the magnetic field.

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