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Cancellation of 4-derivative terms in Volkov-Akulov action
Stockholm University, Faculty of Science, Department of Physics. (KOF)
2010 (English)In: Physical Review D. Particles and fields, ISSN 0556-2821, E-ISSN 1089-4918, Vol. 82, no 8, 085005- p.Article in journal (Refereed) Published
Abstract [en]

Recently Kuzenko and McCarty observed the cancellation of 4-derivative terms in the D=4 N=1 Volkov-Akulov supersymmetric action for the fermionic Nambu-Goldstone field. Here is presented a simple algebraic proof of the cancellation based on using the Majorana bispinors and Fierz identities. The cancellation shows a difference between the Volkov-Akulov action and the effective superfield action recently studied by Komargodski and Seiberg and containing one 4-derivative term. We find out that the cancellation effect takes place in coupling of the Nambu-Goldstone fermion with the Dirac field. Equivalence between the Komargodski-Seiberg (KS) and the Volkov-Akulov (VA) Lagrangians is proved up to the first order in the interaction constant of the Nambu-Goldstone (NG) fermions.

Place, publisher, year, edition, pages
2010. Vol. 82, no 8, 085005- p.
National Category
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:su:diva-43422DOI: 10.1103/PhysRevD.82.085005ISI: 000282509800003OAI: diva2:356505
Available from: 2010-10-12 Created: 2010-10-12 Last updated: 2011-12-12Bibliographically approved

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Zheltukhin, Aleksandr A.
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