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RG Flows and Bifurcations

Gukov, Sergei (2017) RG Flows and Bifurcations. Nuclear Physics B, 919 . pp. 583-638. ISSN 0550-3213. doi:10.1016/j.nuclphysb.2017.03.025.

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Interpreting RG flows as dynamical systems in the space of couplings we produce a variety of constraints, global (topological) as well as local. These constraints, in turn, rule out some of the proposed RG flows and also predict new phases and fixed points, surprisingly, even in familiar theories such as O(N)O(N) model, QED_3, or QCD_4.

Item Type:Article
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URLURL TypeDescription Paper
Gukov, Sergei0000-0002-9486-1762
Additional Information:© 2017 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license ( Funded by SCOAP3. Received 21 December 2016, Revised 22 March 2017, Accepted 25 March 2017, Available online 29 March 2017. It is a pleasure to thank O. Aharony, D. Gross, E. Kiritsis, I. Klebanov, N. Nekrasov, V. Rychkov, N. Seiberg, R. Shrock, D. Sullivan, R. Sundrum, G. Torroba, N. Warner, R. Wijewardhana and E. Witten for useful discussions and comments, and V. Lysov for collaboration during the early stages of this project and for his help with Fig. 6, Fig. 7, Fig. 8 ; Fig. 9. We also thank the anonymous referee for many insightful comments and gratefully acknowledge the warm hospitality of SCGP during the 2016 summer workshop, as well as participants and organizers of the GGI workshop (May 23–July 8) and “Strings 2016” conference (August 1–5) where preliminary results of this work were presented. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. This work is also supported in part by the ERC Starting Grant no. 335739 “Quantum fields and knot homologies” funded by the European Research Council under the European Union Seventh Framework Programme.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
European Research Council (ERC)335739
Record Number:CaltechAUTHORS:20161114-105557935
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Official Citation:Sergei Gukov, RG flows and bifurcations, Nuclear Physics B, Volume 919, June 2017, Pages 583-638, ISSN 0550-3213, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71990
Deposited By: Tony Diaz
Deposited On:15 Nov 2016 23:44
Last Modified:11 Nov 2021 04:54

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