TY  - JOUR
AU  - Aguilar, A. C.
AU  - Binosi, D.
AU  - Papavassiliou, J.
PY  - 2011
DA  - 2011//
TI  - Dynamical equation of the effective gluon mass
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 085026
EP  - 19pp
VL  - 84
IS  - 8
PB  - Amer Physical Soc
AB  - 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 nonmonotonic function of the momentum. Various theoretical improvements and possible future directions are briefly discussed.
SN  - 1550-7998
UR  - http://arxiv.org/abs/1107.3968
UR  - https://doi.org/10.1103/PhysRevD.84.085026
DO  - 10.1103/PhysRevD.84.085026
LA  - English
N1  - WOS:000296889200007
ID  - Aguilar_etal2011
ER  -