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Article

General Fermion Triangle Amplitude in the Coupling of Spin-1 Particles and Ward Identities

by
M. I. Abdelhafiz
,
F.M. Khaliel
and
Ramadan S. Tantawi
*
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2004, 9(2), 285-298; https://doi.org/10.3390/mca9020285
Published: 1 August 2004

Abstract

The general off mass-shell one-loop amplitude ta the termion triangle diagrams is calculated, in theories with γ5 couplings for spin-1 particles. Properties of the Bose symmetry and Ward identities for the couplings of neutral particles are investigated . The VVA and AAA triangle diagrams are obtained from our general form. All resulting amplitudes are consistent with Ward identities. The amplitude for the coupling of three identical spin-1 particles is given. This amplitude obeys Bose symmetry and Ward identities for anomaly free theory.
Keywords: Fermion triangle amplitude; Gauge bosons; Ward identities; Bose symmetry Fermion triangle amplitude; Gauge bosons; Ward identities; Bose symmetry

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MDPI and ACS Style

Abdelhafiz, M.I.; Khaliel, F.M.; Tantawi, R.S. General Fermion Triangle Amplitude in the Coupling of Spin-1 Particles and Ward Identities. Math. Comput. Appl. 2004, 9, 285-298. https://doi.org/10.3390/mca9020285

AMA Style

Abdelhafiz MI, Khaliel FM, Tantawi RS. General Fermion Triangle Amplitude in the Coupling of Spin-1 Particles and Ward Identities. Mathematical and Computational Applications. 2004; 9(2):285-298. https://doi.org/10.3390/mca9020285

Chicago/Turabian Style

Abdelhafiz, M. I., F.M. Khaliel, and Ramadan S. Tantawi. 2004. "General Fermion Triangle Amplitude in the Coupling of Spin-1 Particles and Ward Identities" Mathematical and Computational Applications 9, no. 2: 285-298. https://doi.org/10.3390/mca9020285

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