Evaluating matrix elements relevant to some Lorenz violating operators

Details Evaluating matrix elements relevant to some Lorenz violating operators Evaluating matrix elements relevant to some Lorenz violating operators

2002-10-22

arxiv.org/abs/hep-ph/0210300v2

Phys.Rev. D67 (2003) 017704

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 3 figures, RevTex, minor changes

Scientific paper

10.1103/PhysRevD.67.017704

Carlson, Carone and Lebed have derived the Feynman rules for a consistent formulation of noncommutative QCD. The results they obtained were used to constrain the noncommutativity parameter in Lorentz violating noncommutative field theories. However, their constraint depended upon an estimate of the matrix element of the quark level operator (gamma.p - m) in a nucleon. In this paper we calculate the matrix element of (gamma.p - m), using a variety of confinement potential models. Our results are within an order of magnitude agreement with the estimate made by Carlson et al. The constraints placed on the noncommutativity parameter were very strong, and are still quite severe even if weakened by an order of magnitude.

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