Light-front Ward-Takahashi identity for two-fermion systems

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Marinho, J.A.O.; Frederico, T.; Pace, E.; Salmè, G.; Sauer, P.U.: Light-front Ward-Takahashi identity for two-fermion systems. In: Physical Review D 77 (2008), Nr. 11, 116010. DOI: https://doi.org/10.1103/PhysRevD.77.116010

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Sum total of downloads: 26




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Abstract: 
We propose a three-dimensional electromagnetic current operator within light-front dynamics that satisfies a light-front Ward-Takahashi identity for two-fermion systems. The light-front current operator is obtained by a quasipotential reduction of the four-dimensional current operator and acts on the light-front valence component of bound or scattering states. A relation between the light-front valence wave function and the four-dimensional Bethe-Salpeter amplitude both for bound or scattering states is also derived, such that the matrix elements of the four-dimensional current operator can be fully recovered from the corresponding light-front ones. The light-front current operator can be perturbatively calculated through a quasipotential expansion, and the divergence of the proposed current satisfies a Ward-Takahashi identity at any given order of the expansion. In the quasipotential expansion the instantaneous terms of the fermion propagator are accounted for by the effective interaction and two-body currents. We exemplify our theoretical construction in the Yukawa model in the ladder approximation, investigating in detail the current operator at the lowest nontrivial order of the quasipotential expansion of the Bethe-Salpeter equation. The explicit realization of the light-front form of the Ward-Takahashi identity is verified. We also show the relevance of instantaneous terms and of the pair contribution to the two-body current and the Ward-Takahashi identity.
License of this version: Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.
Document Type: article
Publishing status: publishedVersion
Issue Date: 2008
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 10 38.46%
2 image of flag of United States United States 9 34.62%
3 image of flag of China China 3 11.54%
4 image of flag of Indonesia Indonesia 2 7.69%
5 image of flag of Israel Israel 1 3.85%
6 image of flag of Greece Greece 1 3.85%

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