Ivan Agullo QISS seminar: Entanglement in Quantum Field Theory

It is well known that, even the simplest states within the simplest field theories, are highly entangled. The main support for this fact comes from calculations of entanglement entropy between a region of space and its complement. I find two uncomfortable facts in the calculation of such entropy: (i) The result is actually infinite, and a regulator is needed to extract a finite quantity out of it; and more important, (ii) it involves infinite regions of space and infinitely many degrees of freedom of the field. During the last months, I have been thinking of a more tangible way of quantifying entanglement in quantum field theories, involving only a finite number of degrees of freedom, finite regions of space and quantities that are directly measurable.
In this talk, I will summarize the understanding I have achieved so far, both for Minkowski and de Sitter spacetimes. This is work in progress, and I will especially emphasize what I do not understand yet, aiming to receive feedback and provoke discussions.


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About QISS

The Quantum Information Structure of Spacetime (http://www.qiss.fr) is an interdisciplinary research initiative among several universities and research institutes all over the world, supported by the John Templeton Foundation through the grants https://www.templeton.org/grant/the-q... and https://www.templeton.org/grant/the-q..., coordinated from The Samy Maroun Center for Space, Time and the Quantum (http://www.spacetimeandquantum.com).

The goal of QISS is to explore and connect the research domains of Quantum Information/Computing, Quantum Gravity and Quantum Foundations. Main objectives are to found the physics of quantum spacetime on an information-theoretic basis, to bring within reach empirical access to quantum gravity in 'table-top' laboratory conditions by exploiting rapid advances in quantum computing related technologies and using quantum information theoretic concepts, and to promote an extensive interaction between physicists and philosophers on the conceptual role of information in spacetime physics.