English

Poincar\'e invariance and the Unruh effect

General Physics 2026-04-28 v2

Abstract

In quantum field theory, the vacuum is popularly considered to be a complex medium populated with virtual particle + antiparticle pairs. To an observer experiencing uniform acceleration, it is generally held that these virtual particles become real, appearing as a gas at a temperature that grows with the acceleration. This is the Unruh effect. However, it has been shown that vacuum complexity is an artifact, produced by treating quantum field theory in a manner that does not manifestly enforce causality. Choosing a quantization approach that patently enforces causality, the quantum field theory vacuum is barren, bereft even of virtual particles. We show that acceleration has no effect on a trivial vacuum; hence, there is no Unruh effect in such a treatment of quantum field theory. Since the standard calculations suggesting an Unruh effect are formally consistent, insofar as they have been completed, there must be a cancelling contribution that is omitted in the usual analyses. We argue that it is the dynamical action of conventional Lorentz transformations on the structure of an Unruh detector.

Keywords

Cite

@article{arxiv.2405.06002,
  title  = {Poincar\'e invariance and the Unruh effect},
  author = {Alexandre Deur and Stanley J. Brodsky and Craig D. Roberts and Balša Terzić},
  journal= {arXiv preprint arXiv:2405.06002},
  year   = {2026}
}

Comments

20 pages, 4 Figures. Version published in Particles

R2 v1 2026-06-28T16:22:30.199Z