| Issue |
EPL
Volume 130, Number 4, May 2020
|
|
|---|---|---|
| Article Number | 41001 | |
| Number of page(s) | 5 | |
| Section | The Physics of Elementary Particles and Fields | |
| DOI | https://doi.org/10.1209/0295-5075/130/41001 | |
| Published online | 16 June 2020 | |
Off-shell Ward identities for N-gluon amplitudes
1 Helmholtz-Zentrum Dresden-Rossendorf - Bautzner Landstraße 400, 01328 Dresden, Germany
2 Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo Apdo. Postal 2-82, C.P. 58040, Morelia, Michoacan, Mexico
(a) n.ahmadiniaz@hzdr.de (corresponding author)
(b) schubert@ifm.umich.mx
Received: 20 January 2020
Accepted: 27 May 2020
Off-shell Ward identities in non-abelian gauge theory continue to be a subject of active research, since they are, in general, inhomogeneous and their form depends on the chosen gauge-fixing procedure. For the three-gluon and four-gluon vertices, it is known that a relatively simple form of the Ward identity can be achieved using the pinch technique or, equivalently, the background-field method with quantum Feynman gauge. The latter is also the gauge-fixing underlying the string-inspired formalism, and here we use this formalism to prove the corresponding form of the Ward identity for the one-loop N-gluon amplitudes.
PACS: 12.38.-t – Quantum chromodynamics / 12.38.Bx – Perturbative calculations
© EPLA, 2020
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