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dc.contributor.authorLitim, Daniel F.
dc.contributor.authorTrott, Matthew J.
dc.identifier.citationLitim , D F & Trott , M J 2018 , ' Asymptotic safety of scalar field theories ' , Physical Review D - Particles, Fields, Gravitation and Cosmology , vol. 98 , no. 12 , 125006 .
dc.identifier.otherPURE: 257367633
dc.identifier.otherPURE UUID: a461360f-4a97-4e46-9487-8c4248ed2636
dc.identifier.otherRIS: urn:3DFD3E9BF375792C9F4CFE2C3DAB9E93
dc.identifier.otherRIS: 10.1103/PhysRevD.98.125006
dc.identifier.otherScopus: 85059366803
dc.identifier.otherWOS: 000452979300004
dc.descriptionPart of this work was performed at the Aspen Center for Physics, which is supported by National Science Foundation Grant No. PHY-1607611. D. L. gratefully acknowledges financial support by the Simons Foundation. M. J. T. acknowledges financial support from the CM-CDT under Engineering and Physical Sciences Research Council (UK) Grant No. EP/L015110/1.en
dc.description.abstractWe study 3d O(N) symmetric scalar field theories using Polchinski’s renormalization group. In the infinite N limit the model is solved exactly including at strong coupling. At short distances the theory is described by a line of asymptotically safe ultraviolet fixed points bounded by asymptotic freedom at weak, and the Bardeen-Moshe-Bander phenomenon at strong sextic coupling. The Wilson-Fisher fixed point arises as an isolated low-energy fixed point. Further results include the conformal window for asymptotic safety, convergence-limiting poles in the complex field plane, and the phase diagram with regions of first and second order phase transitions. We substantiate a duality between Polchinski’s and Wetterich’s versions of the functional renormalization group, also showing that eigenperturbations are identical at any fixed point. At a critical sextic coupling, the duality is worked out in detail to explain the spontaneous breaking of scale symmetry responsible for the generation of a light dilaton. Implications for asymptotic safety in other theories are indicated.
dc.relation.ispartofPhysical Review D - Particles, Fields, Gravitation and Cosmologyen
dc.rightsCopyright © 2018 The Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.en
dc.subjectQC Physicsen
dc.titleAsymptotic safety of scalar field theoriesen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.description.statusPeer revieweden

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