Algebraic Quantum Field Theory on Spacetimes with Timelike Boundary
Abstract
We analyze quantum field theories on spacetimes $M$ with timelike boundary from a modelindependent perspective. We construct an adjunction which describes a universal extension to the whole spacetime $M$ of theories defined only on the interior $\mathrm{int}M$. The unit of this adjunction is a natural isomorphism, which implies that our universal extension satisfies Kay's Flocality property. Our main result is the following characterization theorem: Every quantum field theory on $M$ that is additive from the interior (i.e.\ generated by observables localized in the interior) admits a presentation by a quantum field theory on the interior $\mathrm{int}M$ and an ideal of its universal extension that is trivial on the interior. We shall illustrate our constructions by applying them to the free KleinGordon field.
 Publication:

Annales Henri Poincaré
 Pub Date:
 August 2018
 DOI:
 10.1007/s0002301806871
 arXiv:
 arXiv:1712.06686
 Bibcode:
 2018AnHP...19.2401B
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory;
 81Txx
 EPrint:
 27 pages, final version published in Annales Henri Poincar\'e