Translational Invariance and Noncommutative Field Theories

Details Translational Invariance and Noncommutative Field Theories Translational Invariance and Noncommutative Field Theories

2004-02-02

arxiv.org/abs/gr-qc/0402006v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages; Invited talk at the Qauntum Gravity Phenomenology section of the Tenth Marcel Grossmann Meeting on General Relativit

Scientific paper

Implications of noncommutative field theories with commutator of the coordinates of the form $[x^{\mu},x^{\nu}]=i \Lambda_{\quad \omega}^{\mu \nu}x^{\omega}$with nilpotent structure constants are investigated. It is shown that a free quantum field theory is not affected by noncommutativity, but that invariance under translations is broken and hence the energy-momentum conservation is not respected. The new energy-momentum law is expressed by a Poincar\'e-invariant equation and the resulting kinematics is developed and applied to the astrophysical puzzle related with the observed violation of the GZK cutoff.

Affiliated with

Also associated with

No associations

Rating

Translational Invariance and Noncommutative Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Translational Invariance and Noncommutative Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Translational Invariance and Noncommutative Field Theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-627588