期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2018)125
关键词
Conformal Field Theory; Field Theories in Higher Dimensions; Space-Time Symmetries
资金
- Swiss National Science Foundation through the NCCR SwissMAP
We study the momentum-space 4-point correlation function of identical scalar operators in conformal field theory. Working specifically with null momenta, we show that its imaginary part admits an expansion in conformal blocks. The blocks are polynomials in the cosine of the scattering angle, with degree corresponding to the spin of the intermediate operator. The coefficients of these polynomials are obtained in a closed-form expression for arbitrary spacetime dimension d > 2. If the scaling dimension of the intermediate operator is large, the conformal block reduces to a Gegenbauer polynomial f on the contrary the scaling dimension saturates the unitarity bound, the block is different Gegenbauer polynomial These results are then used as an inversion formula to compute OPE coefficients in a free theory example.
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