Bootstrapping 3D fermions

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

doi:10.1007/JHEP03(2016)120

Title: Bootstrapping 3D fermions

Journal Article · Thu Mar 17 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2016)120· OSTI ID:1326984

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

Princeton Univ., NJ (United States). Joseph Henry Lab.
Yale Univ., New Haven, CT (United States). Dept. of Physics
Inst. for Advanced Study, Princeton, NJ (United States). School of Natural Sciences

We study the conformal bootstrap for a 4-point function of fermions <ψψψψ> in 3D. We first introduce an embedding formalism for 3D spinors and compute the conformal blocks appearing in fermion 4-point functions. Using these results, we find general bounds on the dimensions of operators appearing in the ψ × ψ OPE, and also on the central charge C_T. We observe features in our bounds that coincide with scaling dimensions in the GrossNeveu models at large N. Finally, we also speculate that other features could coincide with a fermionic CFT containing no relevant scalar operators.

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Research Organization:: Institute for Advanced Study, Princeton, NJ (United States); Princeton Univ., NJ (United States); Yale Univ., New Haven, CT (United States)

Sponsoring Organization:: USDOE; National Science Foundation (NSF)

Grant/Contract Number:: SC0009988; PHY-1418069; PHY-1350180; PHY-1066293

OSTI ID:: 1326984

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 116 works

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