2,895 research outputs found
Rigidity for -Laplacian type equations on compact Riemannian manifolds
In this paper, we obtain two rigidity results for -Laplacian type
equations on compact Riemannian manifolds by using of the carr\'e du champ and
nonlinear flow methods, respectively, where rigidity means that the PDE has
only constant solution when a parameter is in a certain range. Moreover, an
interpolation inequality is derived as an application.Comment: 14 page
A Universal Constraint on the Infrared Behavior of the Ghost Propagator in QCD
With proposing a unified description of the fields variation at the level of
generating functional, we obtain a new identity for the quark-gluon interaction
vertex based on gauge symmetry, which is similar to the Slavnov-Taylor
Identities(STIs) based on the Becchi-Rouet-Stora-Tyutin transformation. With
these identities, we find that in Landau gauge, the dressing function of the
ghost propagator approaches to a constant as its momentum goes to zero, which
provides a strong constraint on the infrared behaviour of ghost propagator.Comment: 4 pages, no figur
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