1,245 research outputs found
Comment on triple gauge boson interactions in the non-commutative electroweak sector
In this comment we present an analysis of electroweak neutral triple gauge
boson couplings projected out of the gauge sector of the extended
non-commutative standard model. A brief overview of the current experimental
situation is given.Comment: 4 page
The Standard Model on Non-Commutative Space-Time
We consider the Standard Model on a non-commutative space and expand the
action in the non-commutativity parameter theta. No new particles are
introduced, the structure group is SU(3) x SU(2) x U(1). We derive the leading
order action. At zeroth order the action coincides with the ordinary Standard
Model. At leading order in theta we find new vertices which are absent in the
Standard Model on commutative space-time. The most striking features are
couplings between quarks, gluons and electroweak bosons and many new vertices
in the charged and neutral currents. We find that parity is violated in
non-commutative QCD. The Higgs mechanism can be applied. QED is not deformed in
the minimal version of the NCSM to the order considered.Comment: 28 pages, v3: typos corrected, new appendix on alternative kinetic
terms for gauge bosons; v4: typos correcte
Kappa-contraction from to
We present contraction prescription of the quantum groups: from to
. Our strategy is different then one chosen in ref. [P. Zaugg,
J. Phys. A {\bf 28} (1995) 2589]. We provide explicite prescription for
contraction of and generators of and arrive at
Hopf algebra .Comment: 3 pages, plain TEX, harvmac, to be published in the Proceedings of
the 4-th Colloqium Quantum Groups and Integrable Systems, Prague, June 1995,
Czech. J. Phys. {\bf 46} 265 (1996
Bicovariant Quantum Algebras and Quantum Lie Algebras
A bicovariant calculus of differential operators on a quantum group is
constructed in a natural way, using invariant maps from \fun\ to \uqg\ , given
by elements of the pure braid group. These operators --- the `reflection
matrix' being a special case --- generate algebras that
linearly close under adjoint actions, i.e. they form generalized Lie algebras.
We establish the connection between the Hopf algebra formulation of the
calculus and a formulation in compact matrix form which is quite powerful for
actual computations and as applications we find the quantum determinant and an
orthogonality relation for in .Comment: 38 page
Neutrino dipole moments and charge radii in noncommutative space-time
In this paper we obtain a bound \Lambda_{\rm NC} _{\rm NC}|} =|3\sum_{i=1}^3 ({\theta}^{0i})^2|^{1/4} < 1.6 \times 10^{-19} cm at TeV
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