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SUMMARY:Thomas Banks (Rutgers)
DTSTART:20230511T183000Z
DTEND:20230511T193000Z
DTSTAMP:20260423T024543Z
UID:nhetc/86
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/nhetc/86/">T
 he Density Matrix Of A Causal Diamond</a>\nby Thomas Banks (Rutgers) as pa
 rt of NHETC Seminar\n\n\nAbstract\nI will review and reinterpret a number 
 of papers from the 1990s\, which indicate that the operator algebra of a c
 ausal diamond in models of quantum gravity is finite dimensional and that 
 the modular Hamiltonian of the "empty diamond" state has an expectation va
 lue and fluctuations determined by geometrical properties of the diamond. 
  These universal formulae depend on a view of Einstein's equations as the 
 hydrodynamic equations of the area law for diamond entropy\, which means t
 hat they are valid beyond any "semi-classical" approximation.  A model of 
 quantum gravity consists of finding a quantum system whose hydrodynamics i
 s consistent with a given solution of Einstein's equations.  I will quickl
 y review many papers and attendees are encouraged to read them before the 
 talk.  (List will follow).  Among the many implications of these papers is
  that quantum field theory cannot account for most of the entropy in a cau
 sal diamond\, and that the cosmological constant should not be thought of 
 as an energy density. \n\nReferences:\n\n    1. A. G. Cohen\, D. B. Kaplan
  and A. E. Nelson\, Phys. Rev. Lett. 82\, 4971-4974 (1999)doi:10.1103/Phys
 RevLett.82.4971 [arXiv:hep-th/9803132 [hep-th]].\n\n    2. T. Banks and P.
  Draper\, Phys. Rev. D 101\, no.12\, 126010 (2020) doi:10.1103/PhysRevD.10
 1.126010[arXiv:1911.05778 [hep-th]].\n\n    3. N. Blinov and P. Draper\, P
 hys. Rev. D 104\, no.7\, 076024 (2021) doi:10.1103/PhysRevD.104.076024[arX
 iv:2107.03530 [hep-ph]].\n\n    4. R. D. Sorkin\, [arXiv:1402.3589 [gr-qc]
 ].\n\n    5. M. Srednicki\, Phys. Rev. Lett. 71\, 666-669 (1993) doi:10.11
 03/PhysRevLett.71.666[arXiv:hep-th/9303048 [hep-th]].\n\n    6. C. G. Call
 an\, Jr. and F. Wilczek\, Phys. Lett. B 333\, 55-61 (1994) doi:10.1016/037
 0-2693(94)91007-3 [arXiv:hep-th/9401072 [hep-th]].\n\n    7. L. Susskind a
 nd J. Uglum\, Phys. Rev. D 50\, 2700-2711 (1994) doi:10.1103/PhysRevD.50.2
 700[arXiv:hep-th/9401070 [hep-th]].\n\n    8. T. Jacobson\, [arXiv:gr-qc/9
 404039 [gr-qc]].\n\n    9. T. Jacobson\, Phys. Rev. Lett. 75\, 1260-1263 (
 1995) doi:10.1103/PhysRevLett.75.1260[arXiv:gr-qc/9504004 [gr-qc]].\n\n   
  10. W. Fischler and L. Susskind\, [arXiv:hep-th/9806039 [hep-th]].\n\n   
  11. R. Bousso\, Class. Quant. Grav. 17\, 997-1005 (2000) doi:10.1088/0264
 -9381/17/5/309[arXiv:hep-th/9911002 [hep-th]]. ETC.\n\n    12. H. L. Verli
 nde and E. P. Verlinde\, Nucl. Phys. B 371\, 246-268 (1992) doi:10.1016/05
 50-3213(92)90236-5 [arXiv:hep-th/9110017 [hep-th]].\n\n    13. S. Carlip\,
  Phys. Rev. Lett. 82\, 2828-2831 (1999) doi:10.1103/PhysRevLett.82.2828[ar
 Xiv:hep-th/9812013 [hep-th]]. ETC.\n\n    14. S. N. Solodukhin\, Phys. Let
 t. B 454\, 213-222 (1999) doi:10.1016/S0370-2693(99)00398-6[arXiv:hep-th/9
 812056 [hep-th]].  \n\n    15. T. Banks and K. M. Zurek\, Phys. Rev. D 104
 \, no.12\, 126026 (2021) doi:10.1103/PhysRevD.104.126026[arXiv:2108.04806 
 [hep-th]].\n
LOCATION:https://researchseminars.org/talk/nhetc/86/
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