6533b854fe1ef96bd12af5e1
RESEARCH PRODUCT
The dynamical equation of the effective gluon mass
Joannis PapavassiliouArlene Cristina AguilarDaniele Binosisubject
Ward–Takahashi identityPhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsDifferential equationHigh Energy Physics::LatticeHigh Energy Physics - Lattice (hep-lat)High Energy Physics::PhenomenologyPropagatorFísicaFOS: Physical sciencesIntegral equationGluonMass formulaHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeHigh Energy Physics - Theory (hep-th)Gluon field strength tensorQuantum electrodynamicsGluon fieldMathematical physicsdescription
In this article we derive the integral equation that controls the momentum dependence of the effective gluon mass in the Landau gauge. This is accomplished by means of a well-defined separation of the corresponding "one-loop dressed" Schwinger-Dyson equation into two distinct contributions, one associated with the mass and one with the standard kinetic part of the gluon. The entire construction relies on the existence of a longitudinally coupled vertex of nonperturbative origin, which enforces gauge invariance in the presence of a dynamical mass. The specific structure of the resulting mass equation, supplemented by the additional requirement of a positive-definite gluon mass, imposes a rather stringent constraint on the derivative of the gluonic dressing function, which is comfortably satisfied by the large-volume lattice data for the gluon propagator, both for SU(2) and SU(3). The numerical treatment of the mass equation, under some simplifying assumptions, is presented for the aforementioned gauge groups, giving rise to a gluon mass that is a non-monotonic function of the momentum. Various theoretical improvements and possible future directions are briefly discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |