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What are the bounds on space-time non-commutativity?

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Abstract.

In this article we consider the bounds on the non-commutative nature of space-time. We argue that these bounds are extremely model dependent. In the only phenomenologically viable framework, i.e. when the fields are taken to be in the enveloping algebra, the constraints are fairly loose and only of the order of a few TeV. We concentrate on the most stringent bounds that come from clock comparison experiments. In the framework where fields are taken in the enveloping algebra, they are model independent since these bounds are independent on choices involved with the Seiberg-Witten maps.

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References

  1. Letter of Heisenberg to Peierls (1930), Wolfgang Pauli, Scientific Correspondence, Vol. II, p. 15, edited by Karl von Meyenn (Springer-Verlag, 1985)

  2. Letter of Pauli to Oppenheimer (1946), Wolfgang Pauli, Scientific Correspondence, Vol. III, p. 380, edited by Karl von Meyenn (Springer-Verlag, 1993)

  3. H.S. Snyder, Phys. Rev. 71, 38 (1947)

    Article  Google Scholar 

  4. X. Calmet, M. Wohlgenannt, Phys. Rev. D 68, 025016 (2003) [hep-ph/0305027]

    Article  Google Scholar 

  5. M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001) [hep-th/0106048]

    Article  Google Scholar 

  6. M. Hayakawa, Phys. Lett. B 478, 394 (2000) [hep-th/9912094]

    Article  CAS  Google Scholar 

  7. M. Hayakawa, hep-th/9912167.

  8. J. Madore, S. Schraml, P. Schupp, J. Wess, Eur. Phys. J. C 16, 161 (2000) [hep-th/0001203]

    CAS  Google Scholar 

  9. B. Jurco, S. Schraml, P. Schupp, J. Wess, Eur. Phys. J. C 17, 521 (2000) [hep-th/0006246]

    Article  CAS  Google Scholar 

  10. B. Jurco, L. Moller, S. Schraml, P. Schupp, J. Wess, Eur. Phys. J. C 21, 383 (2001) [hep-th/0104153]

    Article  CAS  Google Scholar 

  11. X. Calmet, B. Jurco, P. Schupp, J. Wess, M. Wohlgenannt, Eur. Phys. J. C 23, 363 (2002) [hep-ph/0111115]

    CAS  Google Scholar 

  12. N. Seiberg, E. Witten, JHEP 9909, 032 (1999) [hep-th/9908142]

    Article  Google Scholar 

  13. I. Mocioiu, M. Pospelov, R. Roiban, Phys. Lett. B 489, 390 (2000) [hep-ph/0005191]; A. Anisimov, T. Banks, M. Dine, M. Graesser, Phys. Rev. D 65, 085032 (2002) [hep-ph/0106356]

    Article  CAS  MathSciNet  Google Scholar 

  14. T.G. Rizzo, Int. J. Mod. Phys. A 18, 2797 (2003) [hep-ph/0203240]

    Article  CAS  Google Scholar 

  15. W. Behr, N.G. Deshpande, G. Duplancic, P. Schupp, J. Trampetic, J. Wess, Eur. Phys. J. C 29, 441 (2003) [hep-ph/0202121]

    CAS  Google Scholar 

  16. P. Schupp, J. Trampetic, hep-ph/0405163; G. Duplancic, P. Schupp, J. Trampetic, Eur. Phys. J. C 32, 141 (2003) [hep-ph/0309138]; P. Minkowski, P. Schupp, J. Trampetic, hep-th/0302175; P. Schupp, J. Trampetic, J. Wess, G. Raffelt, hep-ph/0212292

    MathSciNet  Google Scholar 

  17. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane, T. Okamoto, Phys. Rev. Lett. 87, 141601 (2001) [hep-th/0105082]

    Article  CAS  PubMed  Google Scholar 

  18. C.E. Carlson, C.D. Carone, R.F. Lebed, Phys. Lett. B 518, 201 (2001) [hep-ph/0107291]

    Article  CAS  Google Scholar 

  19. H.D. Politzer, Nucl. Phys. B 172, 349 (1980)

    Article  Google Scholar 

  20. E.O. Iltan, New J. Phys. 4, 54 (2002) [hep-ph/0204129]

    Article  Google Scholar 

  21. N. Mahajan, Phys. Rev. D 68, 095001 (2003) [hep-ph/0304235]

    Article  Google Scholar 

  22. E.O. Iltan, Phys. Rev. D 66, 034011 (2002) [hep-ph/0204332]

    Article  Google Scholar 

  23. C.P. Martin, Nucl. Phys. B 652, 72 (2003) [hep-th/0211164]

    Article  Google Scholar 

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Correspondence to X. Calmet.

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Received: 6 July 2004, Revised: 20 December 2004, Published online: 21 April 2005

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Calmet, X. What are the bounds on space-time non-commutativity?. Eur. Phys. J. C 41, 269–272 (2005). https://doi.org/10.1140/epjc/s2005-02226-9

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  • DOI: https://doi.org/10.1140/epjc/s2005-02226-9

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