期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 1, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP01(2018)036
关键词
1/N Expansion; Conformal and W Symmetry; Conformal Field Theory; Global Symmetries
资金
- US NSF [PHY-1418069]
- Simons Foundation [488653, 488651]
- NSF [PHY-1350180]
- DOE [DE-SC0009988]
- William D. Loughlin Membership at the Institute for Advanced Study
- Simons Foundation grant (Simons Collaboration on the Non-perturbative Bootstrap) [488657]
- Princeton University
- Omega
- School of Natural Sciences Computing Staff at the Institute for Advanced Study
- Division Of Physics
- Direct For Mathematical & Physical Scien [1350180] Funding Source: National Science Foundation
We study the conformal bootstrap for 4-point functions of fermions in parity-preserving 3d CFTs, where psi(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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