Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-22
JHEP 0409:040,2004
Physics
High Energy Physics
High Energy Physics - Theory
9 pages
Scientific paper
10.1088/1126-6708/2004/09/040
A quantum theory of noncommutative fields was recently proposed by Carmona, Cortez, Gamboa and Mendez (hep-th/0301248). The implications of the noncommutativity of the fields, intended as the requirements $[\phi,\phi^{+}]=\theta\delta^{3}(x-x^{\prime}), [\pi,\pi^{+}]=B\delta^{3}(x-x^{\prime}) $, were analyzed on the basis of an analogy with previous results on the so-called ``noncommutative harmonic oscillator construction". Some departures from Lorentz symmetry turned out to play a key role in the emerging framework. We first consider the same hamiltonian proposed in hep-th/0301248, and we show that the theory can be analyzed straightforwardly within the framework of Heisenberg evolution equation without any need of making reference to the ``noncommutative harmonic oscillator construction". We then consider a rather general class of alternative hamiltonians, and we observe that violations of Lorentz invariance are inevitably encountered. These violations must therefore be viewed as intrinsically associated with the proposed type of noncommutativity of fields, rather than as a consequence of a specific choice of Hamiltonian.
Mandanici Gianluca
Marciano Antonino
No associations
LandOfFree
Heisenberg Evolution in a Quantum Theory of Noncommutative Fields 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 Heisenberg Evolution in a Quantum Theory of Noncommutative Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Heisenberg Evolution in a Quantum Theory of Noncommutative Fields will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-247679