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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Momentum space entanglement and renormalization in
quantum field theory - Balasubramanian \, V (Uni
versity of Pennsylvania)
DTSTART;TZID=Europe/London:20120306T140000
DTEND;TZID=Europe/London:20120306T150000
UID:TALK36786AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/36786
DESCRIPTION:The degrees of freedom of any interacting quantum
field theory are entangled in momentum space. Thus
\, in the vacuum state\, the infrared degrees of f
reedom are described by a density matrix with an e
ntanglement entropy. We derive a relation between
this density matrix and a Wilsonian effective acti
on. We argue that the entanglement entropy of and
mutual information between subsets of field theore
tic degrees of freedom at different momentum scale
s are natural observables in quantum field theory
and demonstrate how to compute these in perturbati
on theory. The results may be understood heuristic
ally based on the scale-dependence of the coupling
strength and number of degrees of freedom. We mea
sure the rate at which entanglement between degree
s of freedom declines as their scales separate and
suggest that this decay is related to the propert
y of decoupling in quantum field theory.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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