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Correlation functions on conical defects

Abstract : We explore the new technique developed recently in \cite{Rosenhaus:2014woa} and suggest a correspondence between the N-point correlation functions on spacetime with conical defects and the (N+1)-point correlation functions in regular Minkowski spacetime. This correspondence suggests a new systematic way to evaluate the correlation functions on spacetimes with conical defects. We check the correspondence for the expectation value of a scalar operator and of the energy momentum tensor in a conformal field theory and obtain the exact agreement with the earlier derivations for cosmic string spacetime. We then use this correspondence and do the computations for a generic scalar operator and a conserved vector current. For generic unitary field theory we compute the expectation value of the energy momentum tensor using the known spectral representation of the 2-point correlators of stress-energy tensor in Minkowski spacetime.
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https://hal.archives-ouvertes.fr/hal-01170175
Contributor : Sergey Solodukhin <>
Submitted on : Wednesday, July 1, 2015 - 10:23:00 AM
Last modification on : Thursday, March 5, 2020 - 5:33:05 PM

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Sergey Solodukhin. Correlation functions on conical defects. Nuclear Physics, Elsevier, 2014, pp.23. ⟨10.1103/PhysRevD.91.044008⟩. ⟨hal-01170175⟩

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