Schrödinger and Fock representation for a field theory on curved spacetime

DOI10.1016/j.aop.2004.05.004zbMath1074.81054arXivhep-th/0202070OpenAlexW3101654842WikidataQ57564420 ScholiaQ57564420MaRDI QIDQ1886812

Jerónimo Cortez, Alejandro Corichi, Hernando Quevedo

Publication date: 19 November 2004

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0202070

zbMATH Keywords

Fock representationSchrödinger representationlinear field theory in curved spacetime

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Operator algebra methods applied to problems in quantum theory (81R15) Hyperbolic equations on manifolds (58J45)

Related Items (11)

Self-adjointness in Klein-Gordon theory on globally hyperbolic spacetimes ⋮ Quantum scalar field theory based on an extended least action principle ⋮ Nonviolent unitarization: basic postulates to soft quantum structure of black holes ⋮ Schrödinger wave functional of a quantum scalar field in static space-times from precanonical quantization ⋮ The \(S\)-matrix in Schrödinger representation for curved spacetimes in general boundary quantum field theory ⋮ What is a wavefunction? ⋮ Complex structures and quantum representations for scalar QFT in curved spacetimes ⋮ The Polymer representation for the scalar field: a Wigner functional approach ⋮ The time-dependent quantum harmonic oscillator revisited: Applications to quantum field theory ⋮ The Schrödinger representation and its relation to the holomorphic representation in linear and affine field theory ⋮ Complex structures for Klein–Gordon theory on globally hyperbolic spacetimes

Cites Work

• A geometrical approach to external potential problems in quantum field theory
• LARGE QUANTUM GRAVITY EFFECTS: CYLINDRICAL WAVES IN FOUR DIMENSIONS
• Note on canonical quantization and unitary equivalence in field theory
• Quantum fields in curved space-times
• An algebraic extension of Dirac quantization: Examples
• General Relativity
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