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Conformal data of fundamental gauge-Yukawa theories
Univ Southern Denmark, Origins CP3, Odense M, Denmark; Univ Southern Denmark, DIAS, Odense M, Denmark.
Univ Southern Denmark, Origins CP3, Odense M, Denmark; Univ Southern Denmark, DIAS, Odense M, Denmark.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2018 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 98, no 4, article id 045002Article in journal (Refereed) Published
Abstract [en]

We determine central charges, critical exponents and appropriate gradient flow relations for non-supersymmetric vector-like and chiral Gauge-Yukawa theories that are fundamental according to Wilson and that feature calculable UV or IR interacting fixed points. We further uncover relations and identities among the various local and global conformal data. This information is used to provide the first extensive characterization of general classes of free and safe quantum field theories of either chiral or vector-like nature via their conformal data. Using large N-f techniques we also provide examples in which the safe fixed point is nonperturbative but for which conformal perturbation theory can be used to determine the global variation of the a central charge.

Place, publisher, year, edition, pages
2018. Vol. 98, no 4, article id 045002
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Subatomic Physics Other Physics Topics
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URN: urn:nbn:se:uu:diva-364493DOI: 10.1103/PhysRevD.98.045002ISI: 000440413600008OAI: oai:DiVA.org:uu-364493DiVA, id: diva2:1259296
Funder
Danish National Research Foundation, DNRF90EU, European Research Council, 639220Available from: 2018-10-29 Created: 2018-10-29 Last updated: 2018-10-29Bibliographically approved

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Prochazka, Vladimir

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