Lecturer: Mr. Omer Ben Ami
Affiliation: Tel-Aviv University
Abstract:
I will describe entanglement entropy of a
cap-like region for a generic quantum field
theory residing in the Bunch-Davies
vacuum on de Sitter space. Entanglement
entropy in this setup is identical with the
thermal entropy in the static patch of de
Sitter, and it is possible to derive a simple
relation between the vacuum expectation
value of the energy-momentum tensor
trace and the RG flow of entanglement
entropy. In particular, renormalization of
the cosmological constant and logarithmic
divergence of the entanglement entropy
are interrelated in this setup. These
findings are confirmed by recovering
known universal contributions for a free
field theory deformed by a mass operator
as well as correct universal behaviour at
the fixed points. In three dimensions the
renormalized entanglement entropy is
stationary at the fixed points but not
monotonic. Computational evidence that
the universal `area law' for a conformally
coupled scalar is different from the known
result in the literature will be given, and I
will argue that this difference survives in
the limit of flat space.