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5 papers · 2 filters
Relative Cauchy evolution for linear homotopy AQFTs
Simen Bruinsma, Christopher J. Fewster, Alexander Schenkel
This paper develops a concept of relative Cauchy evolution for the class of homotopy algebraic quantum field theories (AQFTs) that are obtained by canonical commutation relation qu…
Symplectic decomposition from submatrix determinants
Jason L. Pereira, Leonardo Banchi, Stefano Pirandola
An important theorem in Gaussian quantum information tells us that we can diagonalise the covariance matrix of any Gaussian state via a symplectic transformation. Whilst the diagon…
Lorentzian 2d CFT from the pAQFT perspective
Sam Crawford, Kasia Rejzner, Benoit Vicedo
We provide a detailed construction of the quantum theory of the massless scalar field on 2-dimensional, globally-hyperbolic (in particular, Lorentzian) manifolds using the framewor…
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…
-algebraic approach to interacting quantum field theory: Inclusion of Fermi fields
Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen +1
We extend the -algebraic approach to interacting quantum field theory, proposed recently by Detlev Buchholz and one of us (KF) to Fermi fields. The crucial feature of our appr…