Bilocal fields and gravity

Abstract

We study a classical bilocal field theory perturbatively up to second order. The chosen theory is the simplest which incorporates action-at-a-distance, while keeping non-local effects short-ranged. We show that the new degrees of freedom introduced by bilocality can be interpreted as gravitational degrees of freedom in the following sense: solutions of the bilocal system at linear and second order contain as a subset, gravitational perturbations (spacetime fluctuations) also to that order. In other words, gravity can be thought to originate in a bilocal field theory. We examine potential implications.

25 pages, 1 figure. New version with material from arXiv:1609.08631 that matches the upcoming publication in IJMPD

References in corpus (4)

• AdS_4/CFT_3 Construction from Collective Fields
• Gauge Symmetry in Phase Space, Consequences for Physics and Spacetime
• Bi-Local Holography in the SYK Model: Perturbations
• Bilocal theory and gravity I

Cited by in corpus (5)

• Three Dimensional View of Arbitrary $q$ SYK models
• Superconducting critical temperature in the extended diffusive SYK model
• Bilocal theory and gravity I
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules
• Nuclear decay parameter oscillations as possible signal of quantum-mechanical nonlinearity and emergent gravity