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arXiv · 2310.13663

Hyperbolic Vacua in Minkowski Space

Walker Melton·Filip Niewinski·Andrew Strominger·Tianli Wang
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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 $\alpha$-vacua with antipodal singularities in the Wightman function. Several special interesting cases are discussed.

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Walker Melton, Filip Niewinski, Andrew Strominger, Tianli Wang. 2023-10-20. Hyperbolic Vacua in Minkowski Space. https://arxiv.org/abs/2310.13663

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