Abstract
Noncommuting spatial coordinates and fields can be realized in actual physical situations. Plane wave solutions to noncommuting photodynamics exhibit violaton of Lorentz invariance (special relativity).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
S. Carroll, G.B. Field, and R. Jackiw, Phys. Rev. D 41, 1231 (1990); see also J. Harvey and S. Naculich, Phys. Lett. B217, 231 (1989).
H. Snyder, Phys. Rev. 71, 38 (1947). This story was documented and told by J. Wess.
G. Dunne, R. Jackiwand C. Trugenberger, Phys. Rev. D 41, 661 (1990); G. Dunne and R. Jackiw, Nucl. Phys. (Proc. Suppl.) 33C, 114 (1993).
R. Peierls, Z. Phys. 80, 763 (1933).
For a review of fluid mechanical field theory, see, for example, R. Jackiw, physics/0010042.
Z. Guralnik, R. Jackiw, S.-Y. Pi, and A.P. Polychronakos, Phys. Lett. B 517, 450 (2001).
For a review, see G. Dunne, J. Phys. A 21, 2321 (1988).
L. Landau, Zh. Eksp. Teor. Fiz. 11, 592 (1941) [English translation: J. Phys. USSR, 5, 71 (1941)]; for a reviewsee [5].
V. Arnold, Mathematical Methods in Classical Mechanics, (Springer, NewYork 1978).
D.B. Fairlie, P. Fletcher and C.K. Zachos, Phys. Lett. B 218, 203 (1989).
N. Seiberg and E. Witten, JHEP 9909, 032 (1999)
A. Bichl, J. Grimstrup, L. Popp, M. Schweda, and R. Wulkenhaar, hepth/0102044.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-VerlagBerlin Heidelber
About this paper
Cite this paper
Jackiw, R. (2003). Physical Instances of Noncommuting Coordinates. In: Trampetić, J., Wess, J. (eds) Particle Physics in the New Millennium. Lecture Notes in Physics, vol 616. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36539-7_21
Download citation
DOI: https://doi.org/10.1007/3-540-36539-7_21
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-00711-1
Online ISBN: 978-3-540-36539-6
eBook Packages: Springer Book Archive