More on the tensor response of the QCD vacuum to an external magnetic field

In this paper we discuss a few issues concerning the magnetic susceptibility of the quark condensate and the Son-Yamamoto anomaly matching equation. It is shown that the Son-Yamamoto relation in the IR implies a nontrivial interplay between the kinetic and Wess-Zumino-Witten terms in the chiral Lagr...

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Bibliographic Details
Published in:Physical review. D, Particles, fields, gravitation, and cosmology Particles, fields, gravitation, and cosmology, 2012-04, Vol.85 (8), Article 086006
Main Authors: Gorsky, A., Kopnin, P. N., Krikun, A., Vainshtein, A.
Format: Article
Language:English
Subjects:
Accounting
Condensates
Cosmology
Magnetic fields
Magnetic permeability
Magnetic susceptibility
Mathematical analysis
Quarks
Tensors
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Summary:In this paper we discuss a few issues concerning the magnetic susceptibility of the quark condensate and the Son-Yamamoto anomaly matching equation. It is shown that the Son-Yamamoto relation in the IR implies a nontrivial interplay between the kinetic and Wess-Zumino-Witten 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.
ISSN:1550-7998
1550-2368
DOI:10.1103/PhysRevD.85.086006