968 citations · 3k across the 59 of their papers we have counts for
59 papers
Automorphic scalar fields in two-dimensional de Sitter space
Atsushi Higuchi, Lasse Schmieding, David Serrano Blanco
We study non-interacting automorphic quantum scalar fields with positive mass in two-dimensional de Sitter space. We find that there are no Hadamard states which are de Sitter inva…
Hartle-Hawking state in the real-time formalism
Atsushi Higuchi, William C. C. Lima
We study self-interacting massive scalar field theory in static spacetimes with a bifurcate Killing horizon and a wedge reflection. In this theory the Hartle-Hawking state is defin…
Scalar field in and representations of
Atsushi Higuchi, Lasse Schmieding, David Serrano Blanco
We study the solutions to the Klein-Gordon equation for the massive scalar field in the universal covering space of two-dimensional anti-de Sitter space. For certain values of the…
Entanglement of the Vacuum between Left, Right, Future, and Past: Dirac spinor in Rindler spaces and Kasner spaces
Kazushige Ueda, Atsushi Higuchi, Kazuhiro Yamamoto +2
We study the relations of the positive frequency mode functions of Dirac field in 4-dimensional Minkowski spacetime covered with Rindler and Kasner coordinates, and describe the ex…
Infrared problem in the Faddeev-Popov-ghost propagator in perturbative quantum gravity in de Sitter spacetime
Jos Gibbons, Atsushi Higuchi, William C. C. Lima
The propagators for the Faddeev-Popov (FP) ghosts in Yang-Mills theory and perturbative gravity in the covariant gauge are infrared (IR) divergent in de Sitter spacetime. An IR cut…
Self-Adjoint extensions of the one-dimensional Schrödinger operator with symmetric potential
Atsushi Higuchi, David Serrano Blanco
We give an explicit correspondence between the domains of the self-adjoint extensions of a one-dimensional Schrödinger differential operator with symmetric real-valued potential an…