![School of Natural Sciences Event](/sites/default/files/styles/two_column_medium/public/2019-09/sns_default.jpg?itok=IEu1CLXj)
High Energy Theory Seminar
Entropic A Theorem and the Markov Property of the Vacuum
A state is said to be Markovian if it fulfills the important condition of saturating the Strong Subadditivity inequality. I will show how the vacuum state of any relativistic QFT is a Markov state when reduced to certain geometric regions of spacetime. For the CFT vacuum, the Markov property is the key ingredient to prove the A theorem (irreversibility of the RG flow in relativistic QFT in d=4 spacetime dimensions) using vacuum entanglement entropy. This extends the entropic proofs of the c and F theorems in dimensions d=2 and d=3, giving a unified picture. I will also comment on the relation of this Markov property with the unitarity bound and holography.
Date & Time
October 23, 2017 | 2:30pm – 4:00pm
Speakers
Eduardo Teste
Affiliation
Instituto Balseiro, Centro Atomico Bariloche