Slavnov–Taylor identities: Difference between revisions
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In [[quantum field theory]], a '''Slavnov-Taylor identity''' is the [[non-abelian gauge theory|non-Abelian]]<ref>{{cite book|author=Weinberg, Steven|authorlink=Steven Weinberg|title=The quantum theory of fields|volume=Vol. 2.|publisher=Cambridge university Press|year=1995|url=https://books.google.com/books?id=48xXMF1oHxkC&pg=PA76|page=76}}</ref> generalisation of a [[Ward-Takahashi identity]], which in turn is an identity between [[Correlation function (quantum field theory)|correlation functions]] that follows from the global or gauged [[Symmetry in physics|symmetries]] of a theory, and which remains valid after [[renormalization]]. It was discovered by [[Andrei Slavnov]] and [[John Clayton Taylor|John C. Taylor]]. |
In [[quantum field theory]], a '''Slavnov-Taylor identity''' is the [[non-abelian gauge theory|non-Abelian]]<ref>{{cite book|author=Weinberg, Steven|authorlink=Steven Weinberg|title=The quantum theory of fields|volume=Vol. 2.|publisher=Cambridge university Press|year=1995|url=https://books.google.com/books?id=48xXMF1oHxkC&pg=PA76|page=76}}</ref> generalisation of a [[Ward-Takahashi identity]], which in turn is an identity between [[Correlation function (quantum field theory)|correlation functions]] that follows from the global or gauged [[Symmetry in physics|symmetries]] of a theory, and which remains valid after [[renormalization]]. It was discovered by [[Andrei Slavnov]] and [[John Clayton Taylor|John C. Taylor]].<ref>{{cite journal|author=Taylor, J. C.|title=Ward identities and charge renormalization of the Yang-Mills field|journal=Nucl. Phys. B|volume=33|issue=2|year=1971|pages=436–444|doi=10.1016/0550-3213(71)90297-5}}</ref><ref>{{cite journal|author=Slavnov, A. A.|title=Ward identities in gauge theories|journal=Theoretical and Mathematical Physics|volume=10|issue=2|year=1972|pages=99–104|doi=10.1007/BF01090719}}</ref> |
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==References== |
==References== |
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Revision as of 10:43, 4 February 2018
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. It was discovered by Andrei Slavnov and John C. Taylor.[2][3]
References
- ^ Weinberg, Steven (1995). The quantum theory of fields. Vol. Vol. 2. Cambridge university Press. p. 76.
{{cite book}}:|volume=has extra text (help) - ^ 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.
- ^ Slavnov, A. A. (1972). "Ward identities in gauge theories". Theoretical and Mathematical Physics. 10 (2): 99–104. doi:10.1007/BF01090719.
External links
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