16.05.2024, 16:15
– Raum 1.10
Forschungsseminar Differentialgeometrie
Rigidity of initial data sets in Minkowski space
Christian Bär (UP)
An upper bound of the relative entanglement entropy of thermal states at an inverse temperature \(\beta\) of linear, massive Klein-Gordon and Dirac quantum field theories across two regions, separated by a nonzero distance \(d\) in a Cauchy hypersurface of an ultrastatic (spin-)spacetime has been computed. This entanglement measure is bounded by a negative constant times \(\mathrm{ln}|\tanh(\pi d/2\beta)|\) which signifies power law decay for asymptotic \(d\) where the exponent depends on \(\beta < \infty\).