Scalar-fermion analytic bootstrap in 4D
| Autor: | Denis Karateev, Emtinan Elkhidir |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Computer Science::Machine Learning
High Energy Physics - Theory Nuclear and High Energy Physics High Energy Physics::Lattice Scalar (mathematics) FOS: Physical sciences Context (language use) Conformal map Computer Science::Digital Libraries 01 natural sciences Subatomär fysik Statistics::Machine Learning Theoretical physics Correlation function 0103 physical sciences Subatomic Physics lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Operator product expansion 010306 general physics Spinning Physics Condensed Matter::Quantum Gases Conformal Field Theory 010308 nuclear & particles physics Conformal field theory representations Fermion High Energy Physics - Theory (hep-th) Nonperturbative Effects Computer Science::Mathematical Software lcsh:QC770-798 conformal partial-waves |
| Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2019, Iss 6, Pp 1-27 (2019) |
| Popis: | In this work we discuss an analytic bootstrap approach [1,2] in the context of spinning 4D conformal blocks [3,4]. As an example we study the simplest spinning case, the scalar-fermion correlator $\langle\phi\psi\phi\bar\psi\rangle$. We find that to every pair of primary scalar $\phi$ and fermion $\psi$ correspond two infinite towers of fermionic large spin primary operators. We compute their twists and products of OPE coefficients using both s-t and u-t bootstrap equations to the leading and sub-leading orders. We find that the leading order is represented by the scalar-fermion generalized free theory and the sub-leading order is governed by the minimal twist bosonic (light scalars, currents and the energy-momentum tensor) and fermionic (light fermions and the suppersymmetric current) operators present in the spectrum. Comment: 27 pages, 1 figure, attached mathematica files: "analyticBootstrap4D.m" and "Example.nb" |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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