The local callan-symanzik equation: structure and applications
The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among the β-function, the anomalous dimensions of c...
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| Main Authors: | , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
August 26, 2014
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| In: |
Journal of high energy physics
Year: 2014, Issue: 8 |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP08(2014)152 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/JHEP08(2014)152 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007%2FJHEP08%282014%29152 
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| Author Notes: | Florent Baume, Boaz Keren-Zur, Riccardo Rattazzi and Lorenzo Vitale |
| Summary: | The local Callan-Symanzik equation describes the response of a quantum field theory to local scale transformations in the presence of background sources. The consistency conditions associated with this anomalous equation imply non-trivial relations among the β-function, the anomalous dimensions of composite operators and the short distance singularities of correlators. In this paper we discuss various aspects of the local CallanSymanzik equation and present new results regarding the structure of its anomaly. We then use the equation to systematically write the n-point correlators involving the trace of the energy-momentum tensor. We use the latter result to give a fully detailed proof that the UV and IR asymptotics in a neighbourhood of a 4D CFT must also correspond to CFTs. We also clarify the relation between the matrix entering the gradient flow formula for the β-function and a manifestly positive metric in coupling space associated with matrix elements of the trace of the energy momentum tensor. |
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| Item Description: | Gesehen am 28.07.2020 |
| Physical Description: | Online Resource |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/JHEP08(2014)152 |