Conformal symmetry in non-local field theories

Abstract

We have shown that a particular class of non-local free field theory has conformal symmetry in arbitrary dimensions. Using the local field theory counterpart of this class, we have found the Noether currents and Ward identities of the translation, rotation and scale symmetries. The operator product expansion of the energy-momentum tensor with quasi-primary fields is also investigated.

15 pages, V2 (Some references added) V3(published version)

References in corpus (3)

• An extension problem related to the fractional Laplacian
• Holography from Conformal Field Theory
• Ageing in bosonic particle-reaction models with long-range transport

Cited by in corpus (8)

• $C_T$ for Non-unitary CFTs in Higher Dimensions
• Field theoretic renormalization study of reduced quantum electrodynamics and applications to the ultra-relativistic limit of Dirac liquids
• Renormalization and conformal invariance of non-local quantum electrodynamics
• The Shadow Formalism of Galilean CFT${}_2$
• Quantization of nonlocal fractional field theories via the extension problem
• Conformal invariance in three dimensional percolation
• Classification of Non-local Actions: Area versus Volume Entanglement Entropy
• Fractional Particle and Sigma Model