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SUMMARY:Momentum space entanglement and renormalization in quantum field t
 heory - Balasubramanian  \, V (University of Pennsylvania)
DTSTART:20120306T140000Z
DTEND:20120306T150000Z
UID:TALK36786@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The degrees of freedom of any interacting quantum field theory
  are entangled in momentum space. Thus\, in the vacuum state\, the infrare
 d degrees of freedom are described by a density matrix with an entanglemen
 t entropy. We derive a relation between this density matrix and a Wilsonia
 n effective action. We argue that the entanglement entropy of and mutual i
 nformation between subsets of field theoretic degrees of freedom at differ
 ent momentum scales are natural observables in quantum field theory and de
 monstrate how to compute these in perturbation theory. The results may be 
 understood heuristically based on the scale-dependence of the coupling str
 ength and number of degrees of freedom. We measure the rate at which entan
 glement between degrees of freedom declines as their scales separate and s
 uggest that this decay is related to the property of decoupling in quantum
  field theory.\n
LOCATION:Seminar Room 1\, Newton Institute
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