期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2020)092
关键词
Conformal Field Theory; Conformal and W Symmetry
资金
- Knut and Alice Wallenberg Foundation [KAW 2016.0129]
- VR [2018-04438]
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development
- Province of Ontario through the Ministry of Research and Innovation
- Swedish Research Council [2018-04438] Funding Source: Swedish Research Council
We present a dispersion relation in conformal field theory which expresses the four point function as an integral over its single discontinuity. Exploiting the analytic properties of the OPE and crossing symmetry of the correlator, we show that in perturbative settings the correlator depends only on the spectrum of the theory, as well as the OPE coefficients of certain low twist operators, and can be reconstructed unambiguously. In contrast to the Lorentzian inversion formula, the validity of the dispersion relation does not assume Regge behavior and is not restricted to the exchange of spinning operators. As an application, the correlator < phi phi phi phi > in phi (4) theory at the Wilson-Fisher fixed point is computed in closed form to order (2) in the E expansion.
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