60 citations · 722 across the 62 of their papers we have counts for
36 papers · 1 filter
On the equivalence of AQFTs and prefactorization algebras
Marco Benini, Victor Carmona, Alastair Grant-Stuart +1
This paper revisits the equivalence problem between algebraic quantum field theories and prefactorization algebras defined over globally hyperbolic Lorentzian manifolds. We develop…
Haag-Kastler stacks
Marco Benini, Alastair Grant-Stuart, Alexander Schenkel
This paper provides an alternative implementation of the principle of general local covariance for algebraic quantum field theories (AQFTs) which is more flexible than the original…
Obstructions to the existence of Møller maps
Marco Benini, Alastair Grant-Stuart, Giorgio Musante +1
Møller maps are identifications between the observables of a perturbatively interacting physical system and the observables of its underlying free (i.e. non-interacting) system. Th…
Lorentzian bordisms in algebraic quantum field theory
Severin Bunk, James MacManus, Alexander Schenkel
It is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-categor…
Universal first-order Massey product of a prefactorization algebra
Simen Bruinsma, Alexander Schenkel, Benoit Vicedo
This paper studies the universal first-order Massey product of a prefactorization algebra, which encodes higher algebraic operations on the cohomology. Explicit computations of the…
Operads, homotopy theory and higher categories in algebraic quantum field theory
Marco Benini, Alexander Schenkel
This chapter provides a non-technical overview and motivation for the recent interactions between algebraic quantum field theory (AQFT) and rather abstract mathematical disciplines…