Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap
- Max-Plack-Insitut fuer Gravitationsphysik, Potsdam (Germany)
- Inst. for Basic Sciences, Daejeon (Korea). Fields, Gravity & Strings, Center for Theoretical Physics
- Chinese Academy of Sciences (CAS), Beijing (China). CAS Key Lab. of Theoretical Physics
Here, we consider Φ3 theory in 6 – 2ϵ with F4 global symmetry. The beta function is calculated up to 3 loops, and a stable unitary IR fixed point is observed. The anomalous dimensions of operators quadratic or cubic in Φ are also computed. We then employ conformal bootstrap technique to study the fixed point predicted from the perturbative approach. For each putative scaling dimension of Φ(ΔΦ), we obtain the corresponding upper bound on the scaling dimension of the second lowest scalar primary in the 26 representation (Δ262nd) which appears in the OPE of Φ × Φ. In D = 5.95, we observe a sharp peak on the upper bound curve located at ΔΦ equal to the value predicted by the 3-loop computation. In D = 5, we observe a weak kink on the upper bound curve at (ΔΦ, Δ262nd) = (1.6, 4).
- Research Organization:
- Texas A&M Univ., College Station, TX (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- FG02-13ER42020; SC0010813
- OSTI ID:
- 1465392
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2016, Issue 12; ISSN 1029-8479
- Publisher:
- Springer BerlinCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Bootstrap experiments on higher dimensional CFTs | text | January 2017 |
Scalar CFTs and Their Large N Limits | text | January 2017 |
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications | text | January 2018 |
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