Slavnov–Taylor identities explained

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]}

External links

• Slavnov-Taylor identities

Notes and References

1. Book: Weinberg, Steven. Steven Weinberg. The quantum theory of fields. 2. Cambridge university Press. 1995. 76. 9780521550024.
2. 't Hooft, G.. Renormalization of Massless Yang-Mills Fields. Nucl. Phys. B. 33. 1. 1971. 173–199. 10.1016/0550-3213(71)90395-6. 1971NuPhB..33..173T.
3. Taylor, J. C.. Ward identities and charge renormalization of the Yang-Mills field. Nucl. Phys. B. 33. 2. 1971. 436–444. 10.1016/0550-3213(71)90297-5. 1971NuPhB..33..436T.
4. Slavnov, A. A.. Ward identities in gauge theories. Theoretical and Mathematical Physics. 10. 2. 1972. 99–104. 10.1007/BF01090719. 1972TMP....10...99S. 119870789 .