Slavnov–Taylor Identities

Short description: Non-abelian version of Ward-Takahashi identities

In quantum field theory, a Slavnov–Taylor identity is the non-Abelian^[1] generalisation of a Ward–Takahashi identity, which in turn is an identity between correlation functions that follows from the global or gauged symmetries of a theory, and which remains valid after renormalization. The identity was originally discovered by Gerard 't Hooft,^[2] and it is named after Andrei Slavnov and John C. Taylor who rephrased the identity to hold off the mass shell.^[3]^[4]

References

↑ Weinberg, Steven (1995). The quantum theory of fields. 2. Cambridge university Press. p. 76. ISBN 9780521550024. https://books.google.com/books?id=48xXMF1oHxkC&pg=PA76.
↑ 't Hooft, G. (1971). "Renormalization of Massless Yang-Mills Fields". Nucl. Phys. B 33 (1): 173–199. doi:10.1016/0550-3213(71)90395-6. Bibcode: 1971NuPhB..33..173T.
↑ Taylor, J. C. (1971). "Ward identities and charge renormalization of the Yang-Mills field". Nucl. Phys. B 33 (2): 436–444. doi:10.1016/0550-3213(71)90297-5. Bibcode: 1971NuPhB..33..436T.
↑ Slavnov, A. A. (1972). "Ward identities in gauge theories". Theoretical and Mathematical Physics 10 (2): 99–104. doi:10.1007/BF01090719. Bibcode: 1972TMP....10...99S.

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