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Celestial two-point functions and rectified dictionary
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A naive celestial dictionary causes massless two-point functions to take the delta-function forms in the celestial conformal field theory (CCFT). We rectify the dictionary, involving the shadow transformation so that the two-point functions follow the standard power-law. In this new definition, we can smoothly take the massless limit of the massive dictionary. We also compute a three-point function using the new dictionary and discuss the OPE in CCFT.
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Conformal Partial Wave Expansion of Celestial Correlators
Celestial correlators in Minkowski space admit conformal partial wave expansions with meromorphic spectral densities, enabling conformal block expansions that simplify dramatically for massless scalars.
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