• Open Access

Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories

Daniel Grumiller, Pulastya Parekh, and Max Riegler
Phys. Rev. Lett. 123, 121602 – Published 20 September 2019

Abstract

We provide the first example of local quantum energy conditions in quantum field theories that are not Lorentz invariant. We focus on field theories in two dimensions with infinite-dimensional symmetries, like the ones governed by the Bondi–van der Burg–Metzner–Sachs group that appear in the context of flat space holography. Reminiscent of holographic results on the quantum null energy condition, we prove that our new energy conditions saturate for states in the field theory that are dual to vacuum solutions of three-dimensional Einstein gravity with a vanishing cosmological constant.

  • Received 26 July 2019

DOI:https://doi.org/10.1103/PhysRevLett.123.121602

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Daniel Grumiller1,*, Pulastya Parekh2,3,†, and Max Riegler4,‡

  • 1Institute for Theoretical Physics, TU Wien, Wiedner Hauptstr. 8, A-1040 Vienna, Austria
  • 2Erwin Schrödinger International Institute for Mathematics and Physics, 1090 Vienna, Austria
  • 3Indian Institute of Technology Kanpur, Kalyanpur, Kanpur 208016, India
  • 4Université Libre de Bruxelles and International Solvay Institutes, CP 231, B-1050 Brussels, Belgium

  • *grumil@hep.itp.tuwien.ac.at
  • pulastya@iitk.ac.in
  • max.riegler@ulb.ac.be

Article Text

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Issue

Vol. 123, Iss. 12 — 20 September 2019

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