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SUMMARY:AG Mathematische Physik\, Albert Much (Uni Leipzig): Semiclass
 ical Einstein Equations from QFT via modular theory
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DESCRIPTION:Albert Much (Uni Leipzig) Semiclassical Einstein Equations
  from QFT via modular theory Abstract: Jacobson showed that the Einste
 in equations follow from the thermodynamic relation δQ = T δS\, wher
 e Q is the heat flux\, T the temperature and S the entropy\, applied t
 o local Rindler horizons\, using quantum field theoretic input such as
  the Unruh effect. This raises the question of whether gravity can be 
 derived entirely within quantum field theory (QFT). In this talk\, I p
 resent a QFT-based extension of Jacobson&#8217\;s argument formulated 
 in terms of relative entropy\, a well-defined and finite entropic quan
 tity for local algebras in QFT. Approximating small spacetime regions 
 by Minkowski space\, we compute the relative entropy between the vacuu
 m and coherent excitations of a Klein-Gordon field on a local Rindler 
 horizon using modular theory. The resulting expression is governed by 
 the stress-energy tensor and encodes the energy flux across the horizo
 n. Identifying the variation of relative entropy with the area variati
 on of the horizon then reproduces the semiclassical Einstein equations
 \, providing a quantum-information-theoretic perspective on gravitatio
 nal dynamics. This talk is based on joint work with Philipp Dorau (pub
 lished in Phys. Rev. Lett. 136\, 091602 (2026)\, https://arxiv.org/abs
 /2510.24491).
DTSTART:20260611T141500Z
DTEND:20260611T160000Z
LOCATION:Übung 1 / 01.250-128\, Erlangen
DTSTAMP:20260730T224905Z
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