Bootstrapping 3D fermions with global symmetries

Iliesiu, Luca; Kos, Filip; Poland, David; Pufu, Silviu S.; Simmons-Duffin, David

doi:10.1007/jhep01(2018)036

Title: Bootstrapping 3D fermions with global symmetries

Journal Article · Tue Jan 09 00:00:00 EST 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2018)036· OSTI ID:1494081

Iliesiu, Luca ^[1]; Kos, Filip ^[2]; Poland, David ^[3]; Pufu, Silviu S. ^[1]; Simmons-Duffin, David ^[4]

Princeton Univ., NJ (United States). Joseph Henry Lab.
Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics. Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
Yale Univ., New Haven, CT (United States). Dept. of Physics
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences; California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics

We study the conformal bootstrap for 4-point functions of fermions < ψ _i ψ _j ψ _k ψ _ℓ > in parity-preserving 3d CFTs, where ψ _i transforms as a vector under an O(N ) global symmetry. We compute bounds on scaling dimensions and central charges, finding features in our bounds that appear to coincide with the O(N ) symmetric Gross-Neveu-Yukawa fixed points. Our computations are in perfect agreement with the 1/N expansion at large N and allow us to make nontrivial predictions at small N . For values of N for which the Gross-Neveu-Yukawa universality classes are relevant to condensed-matter systems, we compare our results to previous analytic and numerical results.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Institute for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States); Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Simons Foundation (United States)

Grant/Contract Number:: AC02-05CH11231; SC0009988; PHY-1418069; PHY-1350180; 488653; 488651; 488657

OSTI ID:: 1494081

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 55 works

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