Aiyalam P. Balachandran et al JHEP11(2004)068 doi:10.1088/1126-6708/2004/11/068
Time-space noncommutativity: quantised evolutions
Aiyalam P. Balachandran1, Thupil R. Govindarajan2, Andrey Gomes Martins3 and Paulo Teotonio-Sobrinho3
Show affiliationsIn previous work [7], we developed quantum physics on the Moyal plane with time-space noncommutativity, basing ourselves on the work of Doplicher et al. [1]. Here we extend it to certain noncommutative versions of the cylinder, 
3 and × S3. In all these models, only discrete time translations are possible, a result known before in the first two cases [2]–[6]. One striking consequence of quantised time translations is that even though a time independent hamiltonian is an observable, in scattering processes, it is conserved only modulo 2π/θ, where θ is the noncommutative parameter. (In contrast, on a one-dimensional periodic lattice of lattice spacing a and length L = Na, only momentum mod 2π/L is observable (and can be conserved).) Suggestions for further study of this effect are made. Scattering theory is formulated and an approach to quantum field theory is outlined.
- Keywords
-
E-print Number: hep-th/0410067
Cited: by |
Refers: to
- PACS
- Subjects
- Dates
-
Issue 11 (November 2004)
Received 18 October 2004, accepted for publication 24 November 2004
Published 4 January 2005
-
Time-space noncommutativity: quantised evolutions
Aiyalam P. Balachandran et al JHEP11(2004)068
-
A bubble chamber for dark matter detection (the COUPP project status)
W J Bolte et al 2006 J. Phys.: Conf. Ser. 39 126
-
Salt-induced condensation in actin-DNA mixtures
O. V. Zribi et al 2005 Europhys. Lett. 70 541
-
Research activities of DC superconducting power transmission line in Chubu University
S Yamaguchi et al 2008 J. Phys.: Conf. Ser. 97 012290
-
New constraints on Planck-scale Lorentz violation in QED from the Crab Nebula
Luca Maccione et al JCAP10(2007)013
-
Collider signals of gravitational fixed points
JoAnne L. Hewett and Thomas G. Rizzo JHEP12(2007)009
-
Addressing unknown constants and metabolic network behaviors through petascale computing: understanding H2 production in green algae
Christopher Chang et al 2007 J. Phys.: Conf. Ser. 78 012011
, and Chern–Simons–Higgs solitons on 
: dimensional reduction of Chern–Pontryagin densities