Universal constraints on conformal operator dimensions
- Scuola Normale Superiore and INFN, 56100 Pisa (Italy)
- Institut de Theorie des Phenomenes Physiques, EPFL, 1015 Lausanne (Switzerland)
We continue the study of model-independent constraints on the unitary conformal field theories (CFTs) in four dimensions, initiated in [R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, J. High Energy Phys. 12 (2008) 031]. Our main result is an improved upper bound on the dimension {delta} of the leading scalar operator appearing in the operator product expansion (OPE) of two identical scalars of dimension d: {phi}{sub d}x{phi}{sub d}=1+O{sub {delta}}+.... In the interval 1<d<1.7 this universal bound takes the form {delta}{<=}2+0.7(d-1){sup 1/2}+2.1(d-1)+0.43(d-1){sup 3/2}. The proof is based on prime principles of CFT: unitarity, crossing symmetry, OPE, and conformal block decomposition. We also discuss possible applications to particle phenomenology and, via a 2D analogue, to string theory.
- OSTI ID:
- 21322502
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 80, Issue 4; Other Information: DOI: 10.1103/PhysRevD.80.045006; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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