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  • Open Access

Quantum field theory and observers

V. P. Nair*

  • *Contact author: vpnair@ccny.cuny.edu

Phys. Rev. D 112, 125022 – Published 22 December, 2025

DOI: https://doi.org/10.1103/n41c-1l9q

Abstract

A generalization of the coadjoint orbit action describes the dynamics of an observer (or instrument). We consider how this fits in with the view of observables in field theory being correlations of readouts of instruments and show how one recovers the usual S-matrix formulas. A simple resolution of the Fermi paradox is also pointed out.

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References (19)

  1. V. Chandrasekaran, R. Longo, G. Penington, and E. Witten, J. High Energy Phys. 02 (2023) 082.
  2. E. Witten, J. High Energy Phys. 03 (2024) 077; J. Knudler-Flam, S. Leutheusser, and G. Satishchandran, Phys. Rev. D 111, 025013 (2025); arXiv:2406.01669.
  3. K. Fredenhagen and R. Haag, Commun. Math. Phys. 127, 273 (1990).
  4. J. Schwinger, Particles, Sources and Fields, Volume 1 (Perseus Books Publishing, Massachusetts, 1970).
  5. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. 46, 257 (1960).
  6. F. M. Caiglia, A. Ibort, and G. Marmo, Mod. Phys. Lett. A 33, 1850122 (2018); Int. J. Geom. Methods Mod. Phys. 16, 1950119 (2019); 16, 1950136 (2019); 16, 1950165 (2019).
  7. S. Doplicher, Found. Phys. 40, 719 (2010); Commun. Math. Phys. 357, 407 (2018); A. Danieri, G. M. Loinger, and A. Prosperi, Nucl. Phys. 33, 297 (1962).
  8. S. K. Wong, Nuovo Cimento A 65, 689 (1970); see also A. P. Balachandran, G. Marmo, and A. Stern, Nucl. Phys. B162, 385 (1980); A. P. Balachandran, G. Marmo, A. Stern, and B. S. Skagerstam, Phys. Lett. 89B, 1991 (1980); A. P. Balachandran, G. Marmo, B-S. Skagerstam, and A. Stern, Gauge Symmetries and Fibre Bundles, Lecture Notes in Physics Vol. 188 (Springer-Verlag, Berlin, 1982).
  9. D. Diakonov and V. Yu. Petrov, Phys. Lett. B 224, 131 (1989); M. Faber, A. N. Ivanov, N. I. Troitskaya, and M. Zach, Phys. Rev. D 62, 025019 (2000).
  10. J. B. Hartle, arXiv:gr-qc/9304006; R. D. Sorkin, J. Phys. A 40, 3207 (2007); F. Dowker, S. Johnson, and R. D. Sorkin, J. Phys. A Math. Theor. 43, 275302 (2010).
  11. R. Dickinson, J. Forshaw, P. Millington, and B. Cox, J. High Energy Phys. 06 (2014) 049.
  12. G. Lindblad, Commun. Math. Phys. 119, 48 (1976); V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. (N.Y.) 17, 821 (1976).
  13. M. A. Mank’ko and V. I. Man’ko, AIP Conf. Proc. 1334, 217 (2011); V. I. Man’ko, G. Marmo, E. C. G. Sudarshan, and F. Zaccaria, Phys. Lett. A 327, 353 (2004); A. Ibort, V. I. Man’ko, G. Marmo, A Simoni, and F. Ventriglia, Phys. Scr. 79, 065013 (2009); A. P. Balachandran, F. Calderón, V. P. Nair, A. Pinzul, and A. F. Reyes-Lega, J. Phys. A 55, 225309 (2022).
  14. A. Uhlmann, Rep. Math. Phys. 9, 273 (1976); R. Jozsa, J. Mod. Opt. 41, 2315 (1994).
  15. Since this is a topic with a vast literature, see the review A. Wehrl, Rev. Mod. Phys. 50, 221 (1978); See also V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. 78, 2275 (1997); V. Vedral, M. B. Plenio, K. Jacobs, and P. L. Knight, Phys. Rev. A 56, 4452 (1997).
  16. E. Fermi, Rev. Mod. Phys. 4, 87 (1932); M. I. Shirokov, Sov. J. Nucl. Phys. 4, 774 (1967). There were a large number of papers on this problem over the years from 1967 onwards, too many to list here. For some of the history and references, see [19].
  17. G. C. Hegerfeldt, Phys. Rev. Lett. 72, 596 (1994).
  18. D. Buchholz and J. Yngvason, Phys. Rev. Lett. 73, 613 (1994).
  19. R. Dickinson, J. Forshaw, and P. Millington, Phys. Rev. D 93, 065054 (2016); J. Phys. Conf. Ser. 880, 012041 (2017).

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