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SUMMARY:Quantum geometry effects in quantum field theory: Hamiltonian cons
 traint generates gravity-matter entanglement in spherically symmetric loop
  quantum gravity
DTSTART;VALUE=DATE-TIME:20261025T064000Z
DTEND;VALUE=DATE-TIME:20261025T070000Z
DTSTAMP;VALUE=DATE-TIME:20261025T034515Z
UID:indico-contribution-3009@indico.itp.ac.cn
DESCRIPTION:Speakers: Gaoping Long (Jinan University)\nIn this work\, we a
 ddress a foundational challenge in quantum field theory on curved spacetim
 e by developing a consistent framework in spherically symmetric loop quant
 um gravity. We introduce a methodology for defining meaningful superpositi
 ons of quantum geometry and matter states near the semiclassical apparent 
 horizon. This is achieved by identifying a restricted subspace of the grav
 itational phase space\, which ensures unitary equivalence among Fock repre
 sentations of a scalar field across different quantum geometries. Within t
 he resulting well-defined state space\, we derive weak solutions to the qu
 antum Hamiltonian constraint of general relativity near the semiclassical 
 apparent horizon. Furthermore\, we generalize the Hartle-Hawking vacuum st
 ate to this quantum geometric framework. The resulting state exhibits the 
 inherent entanglement between geometry and matter\, which arises from the 
 quantum Hamiltonian constraint of general relativity. This work establishe
 s a principled framework for studying geometry-matter entanglement and off
 ers new insights into the quantum foundations of the black hole informatio
 n paradox.\n\nhttps://indico.itp.ac.cn/event/427/contributions/3009/
LOCATION:
URL:https://indico.itp.ac.cn/event/427/contributions/3009/
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