Φ3 theory with F4 flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap

Pang, Yi; Rong, Junchen; Su, Ning

doi:10.1007/JHEP12(2016)057

Φ³ theory with F₄ flavor symmetry in 6 – 2ϵ dimensions: 3-loop renormalization and conformal bootstrap

Journal Article · Wed Dec 14 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP12(2016)057· OSTI ID:1465392

Pang, Yi ^[1]; Rong, Junchen ^[2]; Su, Ning ^[3]

Max-Plack-Insitut fuer Gravitationsphysik, Potsdam (Germany); Inst. for Basic Sciences, Daejeon (Korea)
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(Δ_Φ), we obtain the corresponding upper bound on the scaling dimension of the second lowest scalar primary in the 26 representation (Δ₂₆^2nd) which appears in the OPE of Φ × Φ. In D = 5.95, we observe a sharp peak on the upper bound curve located at Δ_Φ equal to the value predicted by the 3-loop computation. In D = 5, we observe a weak kink on the upper bound curve at (Δ_Φ, Δ₂₆^2nd) = (1.6, 4).

View Accepted Manuscript (DOE)

Research Organization:: Texas A&M Univ., College Station, TX (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0010813

OSTI ID:: 1465392

Alternate ID(s):: OSTI ID: 22658718

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2016; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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