6533b82afe1ef96bd128cbed
RESEARCH PRODUCT
Interpolating between low and high energy QCD via a 5D Yang-Mills model
Veronica SanzJohannes Hirnsubject
PhysicsQuantum chromodynamicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsParticle physicsMesonHigh Energy Physics::LatticeElectroweak interactionHigh Energy Physics::PhenomenologyPerturbative QCDFOS: Physical sciencesYang–Mills existence and mass gapMassless particleHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - Theory (hep-th)Goldstone bosonBraneMathematical physicsdescription
We describe the Goldstone bosons of massless QCD together with an infinite number of spin-1 mesons. The field content of the model is SU(Nf)xSU(Nf) Yang-Mills in a compact extra-dimension. Electroweak interactions reside on one brane. Breaking of chiral symmetry occurs due to the boundary conditions on the other brane, away from our world, and is therefore spontaneous. Our implementation of the holographic recipe maintains chiral symmetry explicit throughout. For intermediate energies, we extract resonance couplings. These satisfy sum rules due to the 5D nature of the model. These sum rules imply, when taking the high energy limit, that perturbative QCD constraints are satisfied. We also illustrate how the 5D model implies a definite prescription for handling infinite sums over 4D resonances. Taking the low energy limit, we recover the chiral expansion and the corresponding non-local order parameters. All local order parameters are introduced separately.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-07-05 |