Renormalised fermion vacuum expectation values on anti-de Sitter space–time

2015/05/31 by Victor E. Ambrus, Victor E. Ambruş, Elizabeth Winstanley · 1 citation
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Fermion #Fermionic field #Mathematical physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum field theory #Quantum mechanics #Tensor (intrinsic definition) #Universe #Vacuum energy #Vacuum expectation value #Vacuum state #de Sitter invariant special relativity #hep-th

paper · pdf · doi:10.1016/j.physletb.2015.08.045

7 pages, no figures, conclusions expanded, accepted for publication in Physics Letters B

openalex publication_date 2015/08/24 · arxiv created 2015/09/03 · arxiv updated 2015/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Schwinger–de Witt and Hadamard methods are used to obtain renormalised vacuum expectation
\nvalues for the fermion condensate, charge current and stress-energy tensor of a quantum fermion field
\nof arbitrary mass on four-dimensional anti-de Sitter space–time. The quantum field is in the global
\nanti-de Sitter vacuum state. The results are compared with those obtained using the Pauli–Villars and
\nzeta-function regularisation methods, respectively.

Citations

• The Hadamard Condition for Dirac Fields and Adiabatic States on Robertson-Walker Spacetimes
• One-loop stress-tensor renormalization in curved background: The relation between ζ-function and point-splitting approaches, and an improved point-splitting procedure
• Quantum Fields in Curved Space
• Off-diagonal coefficients of the DeWitt-Schwinger and Hadamard representations of the Feynman propagator
• MICROLOCAL SPECTRUM CONDITION AND HADAMARD FORM FOR VECTOR-VALUED QUANTUM FIELDS IN CURVED SPACETIME

Cited by

• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time