English

All-orders worldline holography and higher spins

High Energy Physics - Phenomenology 2015-12-07 v2

Abstract

By using the worldline approach to quantum field theory, we demonstrate to all orders that the sources of a quantum field theory over Mink4_4 naturally form a field theory over AdS5_5. In particular, this holds for higher-spin sources of a free scalar theory. We work entirely within quantum-field theory and do not select a subset of diagrams. As auxiliary fifth dimension Schwinger's proper time is grouped with the physical four spacetime dimensions into an AdS5_5 geometry. The four-dimensional sources are extended to five-dimensional fields by a Wilson flow (gradient flow). A variational principle for said flow reproduces the corresponding holographic computation.

Keywords

Cite

@article{arxiv.1507.04350,
  title  = {All-orders worldline holography and higher spins},
  author = {Dennis D. Dietrich},
  journal= {arXiv preprint arXiv:1507.04350},
  year   = {2015}
}