TY  - JOUR
A1  - Benini, Marco
A1  - Capoferri, Matteo
A1  - Dappiaggi, Claudio
T1  - Hadamard States for Quantum Abelian Duality
JF  - Annales de l'Institut Henri Poincaré
N2  - Abelian duality is realized naturally by combining differential cohomology and locally covariant quantum field theory. This leads to a -algebra of observables, which encompasses the simultaneous discretization of both magnetic and electric fluxes. We discuss the assignment of physically well-behaved states on this algebra and the properties of the associated GNS triple. We show that the algebra of observables factorizes as a suitable tensor product of three -algebras: the first factor encodes dynamical information, while the other two capture topological data corresponding to electric and magnetic fluxes. On the former factor and in the case of ultra-static globally hyperbolic spacetimes with compact Cauchy surfaces, we exhibit a state whose two-point correlation function has the same singular structure of a Hadamard state. Specifying suitable counterparts also on the topological factors, we obtain a state for the full theory, ultimately implementing Abelian duality transformations as Hilbert space isomorphisms.
Y1  - 2017
U6  - https://doi.org/10.1007/s00023-017-0593-y
SN  - 1424-0637
SN  - 1424-0661
VL  - 18
SP  - 3325
EP  - 3370
PB  - Springer
CY  - Basel
ER  -