×

What are the bounds on space-time non-commutativity? (English) Zbl 1191.81202

Summary: 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.

MSC:

81T75 Noncommutative geometry methods in quantum field theory

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) · Zbl 0035.13101 · doi:10.1103/PhysRev.71.38
[4] X. Calmet, M. Wohlgenannt, Phys. Rev. D 68, 025016 (2003) [hep-ph/0305027] · doi:10.1103/PhysRevD.68.025016
[5] M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001) [hep-th/0106048] · Zbl 1205.81126 · doi:10.1103/RevModPhys.73.977
[6] M. Hayakawa, Phys. Lett. B 478, 394 (2000) [hep-th/9912094] · Zbl 1050.81719 · doi:10.1016/S0370-2693(00)00242-2
[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] · doi:10.1007/s100520050012
[9] B. Jurco, S. Schraml, P. Schupp, J. Wess, Eur. Phys. J. C 17, 521 (2000) [hep-th/0006246] · Zbl 1099.81525 · doi:10.1007/s100520000487
[10] B. Jurco, L. Moller, S. Schraml, P. Schupp, J. Wess, Eur. Phys. J. C 21, 383 (2001) [hep-th/0104153] · Zbl 1099.81524 · doi:10.1007/s100520100731
[11] X. Calmet, B. Jurco, P. Schupp, J. Wess, M. Wohlgenannt, Eur. Phys. J. C 23, 363 (2002) [hep-ph/0111115] · Zbl 1099.81575 · doi:10.1007/s100520100873
[12] N. Seiberg, E. Witten, JHEP 9909, 032 (1999) [hep-th/9908142] · Zbl 0957.81085 · doi:10.1088/1126-6708/1999/09/032
[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] · Zbl 1031.81664 · doi:10.1016/S0370-2693(00)00928-X
[14] T.G. Rizzo, Int. J. Mod. Phys. A 18, 2797 (2003) [hep-ph/0203240] · doi:10.1142/S0217751X03016264
[15] W. Behr, N.G. Deshpande, G. Duplancic, P. Schupp, J. Trampetic, J. Wess, Eur. Phys. J. C 29, 441 (2003) [hep-ph/0202121] · doi:10.1140/epjc/s2003-01207-4
[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 · doi:10.1140/epjc/s2003-01372-4
[17] S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane, T. Okamoto, Phys. Rev. Lett. 87, 141601 (2001) [hep-th/0105082] · doi:10.1103/PhysRevLett.87.141601
[18] C.E. Carlson, C.D. Carone, R.F. Lebed, Phys. Lett. B 518, 201 (2001) [hep-ph/0107291] · Zbl 0971.81180 · doi:10.1016/S0370-2693(01)01045-0
[19] H.D. Politzer, Nucl. Phys. B 172, 349 (1980) · doi:10.1016/0550-3213(80)90172-8
[20] E.O. Iltan, New J. Phys. 4, 54 (2002) [hep-ph/0204129] · doi:10.1088/1367-2630/4/1/354
[21] N. Mahajan, Phys. Rev. D 68, 095001 (2003) [hep-ph/0304235] · doi:10.1103/PhysRevD.68.095001
[22] E.O. Iltan, Phys. Rev. D 66, 034011 (2002) [hep-ph/0204332] · doi:10.1103/PhysRevD.66.034011
[23] C.P. Martin, Nucl. Phys. B 652, 72 (2003) [hep-th/0211164] · Zbl 1010.81049 · doi:10.1016/S0550-3213(03)00037-3
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.