The Gross-Neveu-Yukawa archipelago

Journal of High Energy Physics

Regular Article - Theoretical Physics

David Poland¹  Rajeev S. Erramilli¹  Petr Kravchuk²  Luca V. Iliesiu³  David Simmons-Duffin⁴  Aike Liu⁴ 

[1] Department of Physics, Yale University, 217 Prospect St, 06520, New Haven, CT, U.S.A.;School of Natural Sciences, Institute for Advanced Study, 1 Einstein Dr, 08540, Princeton, NJ, U.S.A.;Simons Center for Geometry and Physics, Stony Brook University, 100 Nicolls Road, 11794-3840, Stony Brook, NY, U.S.A.;Department of Mathematics, King’s College London, Strand, WC2R 2LS, London, U.K.;Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, 94305, Stanford, CA, U.S.A.;Walter Burke Institute for Theoretical Physics, Caltech, 1200 East California Blvd, 91125, Pasadena, CA, U.S.A.;

关键词: Conformal and W Symmetry;    Global Symmetries;    Nonperturbative Effects;    Scale and Conformal Symmetries;   

DOI  :  10.1007/JHEP02(2023)036

 received in 2022-11-21, accepted in 2023-01-20,  发布年份 2023

来源: Springer

【 摘 要 】

We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results provide rigorous bounds on the scaling dimensions of the O(N)-symmetric Gross-Neveu-Yukawa (GNY) fixed points, constraining these theories to live in isolated islands in the space of CFT data. We focus on the cases N = 1, 2, 4, 8, which have applications to phase transitions in condensed matter systems, and compare our bounds to previous analytical and numerical results.

【 授权许可】

Unknown   
© The Author(s) 2023