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Multi-Critical Multi-Field Models: A CFT Approach to the Leading Order

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INFN Bologna, Via Irnerio 46, 40126 Bologna, Italy
2
Department of Physics, Southern University of Science and Technology, Shenzhen 518055, China
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DIFA, University of Bologna, Via Irnerio 46, 40126 Bologna, Italy
4
Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, 07743 Jena, Germany
*
Author to whom correspondence should be addressed.
Universe 2019, 5(6), 151; https://doi.org/10.3390/universe5060151
Received: 15 May 2019 / Revised: 8 June 2019 / Accepted: 11 June 2019 / Published: 13 June 2019
We present some general results for the multi-critical multi-field models in d > 2 recently obtained using conformal field theory (CFT) and Schwinger–Dyson methods at the perturbative level without assuming any symmetry. Results in the leading non trivial order are derived consistently for several conformal data in full agreement with functional perturbative renormalization group (RG) methods. Mechanisms like emergent (possibly approximate) symmetries can be naturally investigated in this framework. View Full-Text
Keywords: QFT; critical theories; CFT; renormalization group QFT; critical theories; CFT; renormalization group
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Vacca, G.P.; Codello, A.; Safari, M.; Zanusso, O. Multi-Critical Multi-Field Models: A CFT Approach to the Leading Order. Universe 2019, 5, 151.

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