Artikel ; Online: On-Shell Covariance of Quantum Field Theory Amplitudes.
2023 Band 130, Heft 4, Seite(n) 41603
Abstract: Scattering amplitudes in quantum field theory are independent of the field parametrization, which has a natural geometric interpretation as a form of "coordinate invariance." Amplitudes can be expressed in terms of Riemannian curvature tensors, which ... ...
Abstract | Scattering amplitudes in quantum field theory are independent of the field parametrization, which has a natural geometric interpretation as a form of "coordinate invariance." Amplitudes can be expressed in terms of Riemannian curvature tensors, which makes the covariance of amplitudes under nonderivative field redefinitions manifest. We present a generalized geometric framework that extends this manifest covariance to all allowed field redefinitions. Amplitudes satisfy a recursion relation to all orders in perturbation theory that closely resembles the application of covariant derivatives to increase the rank of a tensor. This allows us to argue that tree-level amplitudes possess a notion of "on-shell covariance," in that they transform as a tensor under any allowed field redefinition up to a set of terms that vanish when the equations of motion and on-shell momentum constraints are imposed. We highlight a variety of immediate applications to effective field theories. |
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Sprache | Englisch |
Erscheinungsdatum | 2023-02-10 |
Erscheinungsland | United States |
Dokumenttyp | Journal Article |
ZDB-ID | 208853-8 |
ISSN | 1079-7114 ; 0031-9007 |
ISSN (online) | 1079-7114 |
ISSN | 0031-9007 |
DOI | 10.1103/PhysRevLett.130.041603 |
Datenquelle | MEDical Literature Analysis and Retrieval System OnLINE |
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