Files in this item
Asymptotic safety of scalar field theories
Item metadata
dc.contributor.author | Litim, Daniel F. | |
dc.contributor.author | Trott, Matthew J. | |
dc.date.accessioned | 2019-01-16T11:30:06Z | |
dc.date.available | 2019-01-16T11:30:06Z | |
dc.date.issued | 2018-12-12 | |
dc.identifier | 257367633 | |
dc.identifier | a461360f-4a97-4e46-9487-8c4248ed2636 | |
dc.identifier | 85059366803 | |
dc.identifier | 000452979300004 | |
dc.identifier.citation | Litim , 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 . https://doi.org/10.1103/PhysRevD.98.125006 | en |
dc.identifier.issn | 1550-7998 | |
dc.identifier.other | RIS: urn:3DFD3E9BF375792C9F4CFE2C3DAB9E93 | |
dc.identifier.other | RIS: 10.1103/PhysRevD.98.125006 | |
dc.identifier.uri | https://hdl.handle.net/10023/16877 | |
dc.description | Part 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.abstract | We 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.format.extent | 24 | |
dc.format.extent | 1652724 | |
dc.language.iso | eng | |
dc.relation.ispartof | Physical Review D - Particles, Fields, Gravitation and Cosmology | en |
dc.subject | QC Physics | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | QC | en |
dc.title | Asymptotic safety of scalar field theories | en |
dc.type | Journal article | en |
dc.contributor.sponsor | EPSRC | en |
dc.contributor.institution | University of St Andrews. School of Physics and Astronomy | en |
dc.identifier.doi | 10.1103/PhysRevD.98.125006 | |
dc.description.status | Peer reviewed | en |
dc.identifier.url | https://arxiv.org/abs/1810.01678 | en |
dc.identifier.grantnumber | EP/L015110/1 | en |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.