6533b85afe1ef96bd12ba045
RESEARCH PRODUCT
New Angle on the Strong CP and Chiral Symmetry Problems from a Rotating Mass Matrix
Sheung Tsun TsouHong-mo ChanJosé Bordessubject
QuarkPhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsParticle physicsHigh Energy Physics::LatticeFOS: Physical sciencesFísicaAstronomy and AstrophysicsFermionSpace (mathematics)Mass matrixAtomic and Molecular Physics and OpticsHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Quantum mechanicsStrong CP problemChiral symmetry breakingEigenvalues and eigenvectorsMixing (physics)description
It is shown that when the mass matrix changes in orientation (i.e. rotates) in generation space for a changing energy scale, the masses of the lower generations are not given just by its eigenvalues. In particular, these masses need not be zero even when the eigenvalues are zero. In that case, the strong CP problem can be avoided by removing the unwanted theta term by a chiral transformation not in contradiction with the nonvanishing quark masses experimentally observed. Similarly, a rotating mass matrix may shed new light on the problem of chhiral symmetry breaking. That the fermion mass matrix may so rotate with the scale has been suggested before as a possible explanation for up-down fermion mixing and fermion mass hierarchy, giving results in good agreement with experiment.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-07-23 |