English

Fermions in worldline holography

High Energy Physics - Theory 2017-10-04 v2 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We analyse the worldline holographic framework for fermions. Worldline holography is based on the observation that in the worldline approach to quantum field theory, sources of a quantum field theory over Mink4_4 naturally form a field theory over AdS5_5 to all orders in the elementary fields and in the sources. Schwinger's proper time of the worldline formalism automatically appears with the physical four spacetime dimensions in an AdS5_5 geometry. The worldline holographic effective action in general and the proper-time profiles of the sources in particular solve a renormalisation group equation. By taking into account sources up to spin one, we reconstruct seminal holographic models. Considering spin two confirms AdS5_5 as consistent background.

Keywords

Cite

@article{arxiv.1702.06955,
  title  = {Fermions in worldline holography},
  author = {Dennis D. Dietrich and Adrian Koenigstein},
  journal= {arXiv preprint arXiv:1702.06955},
  year   = {2017}
}

Comments

v2: no changes to manuscript, fixed one typo in the metadata

R2 v1 2026-06-22T18:25:42.934Z