English

Hyperbolic Vacua in Minkowski Space

High Energy Physics - Theory 2023-10-23 v1

Abstract

Families of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a larger symmetry group. Explicit expressions are given as squeezed excitations of the Poincare vacuum. The effective reduced vacua on the 3D hyperbolic de Sitter slices are the well-known de Sitter α\alpha-vacua with antipodal singularities in the Wightman function. Several special interesting cases are discussed.

Keywords

Cite

@article{arxiv.2310.13663,
  title  = {Hyperbolic Vacua in Minkowski Space},
  author = {Walker Melton and Filip Niewinski and Andrew Strominger and Tianli Wang},
  journal= {arXiv preprint arXiv:2310.13663},
  year   = {2023}
}

Comments

11 pages

R2 v1 2026-06-28T12:57:06.509Z