Xavier Calmet

The standard model on non-commutative space-time

Abstract. We consider the standard model on a non-commutative space and expand the action in the non-commutativity parameter

The cosmological evolution of the nucleon mass and the electroweak coupling constants

\theta^{\mu \nu}

Noncommutative general relativity

. No new particles are introduced; the structure group is

Minimum Length from Quantum Mechanics and Classical General Relativity

SU(3)\times SU(2)\times U(1)

Colorful quantum black holes at the LHC

. We derive the leading order action. At zeroth order the action coincides with the ordinary standard model. At leading order in

Quantum gravity at a TeV and the renormalization of Newton's constant

\theta^{\mu\nu}

Symmetry breaking and time variation of gauge couplings

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.

Second order noncommutative corrections to gravity

Abstract. Starting from astrophysical indications that the fine structure constant might undergo a small cosmological time shift, we discuss the implications of such an effect from the point of view of particle physics. Grand unification implies small time shifts for the nucleon mass, the magnetic moment of the nucleon and the weak coupling constant as well. The relative change of the nucleon mass is about 40 times larger than the relative change of

Remarks on Higgs inflation

\alpha

Bounds on the nonminimal coupling of the Higgs Boson to gravity

. Laboratory measurements using very advanced methods in quantum optics might soon reveal small time shifts of the nucleon mass, the magnetic moment of the nucleon and the fine structure constant.