2014/06/30 by Michael Smolkin, Sergey N. Solodukhin · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #cond-mat.stat-mech #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.91.044008
20 pages; v3: new reference added
arxiv created 2014/09/18 · openalex publication_date 2015/02/04 · arxiv updated 2015/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
We explore a technique recently proposed in [1] and suggest a correspondence between the N-point correlation functions on a conifold and the (N+1)-point correlation functions on a regular manifold. This correspondence suggests a new systematic way to evaluate the correlation functions on a manifold with conical defect. We apply the correspondence to study the vacuum expectation value of a scalar operator and of the energy-momentum tensor in a conformal field theory living on a spacetime with conical singularity. Our findings agree with the existing calculations for a cosmic string spacetime. We use the correspondence to carry out calculations for the generic scalar operator and conserved vector current. For a unitary field theory we also compute the expectation value of the energy-momentum tensor using the spectral representation of a two-point function of the energy-momentum tensor in Minkowski spacetime.