TY  - JOUR
AU  - Aguilar, A. C.
AU  - Papavassiliou, J.
PY  - 2010
DA  - 2010//
TI  - Gluon mass generation without seagull divergences
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 034003
EP  - 19pp
VL  - 81
IS  - 3
PB  - Amer Physical Soc
AB  - Dynamical gluon mass generation has been traditionally plagued with seagull divergences, and all regularization procedures proposed over the years yield finite but scheme-dependent gluon masses. In this work we show how such divergences can be eliminated completely by virtue of a characteristic identity, valid in dimensional regularization. The ability to trigger the aforementioned identity hinges crucially on the particular Ansatz employed for the three-gluon vertex entering into the Schwinger-Dyson equation governing the gluon propagator. The use of the appropriate three-gluon vertex brings about an additional advantage: one obtains two separate (but coupled) integral equations, one for the effective charge and one for the gluon mass. This system of integral equations has a unique solution, which unambiguously determines these two quantities. Most notably, the effective charge freezes in the infrared, and the gluon mass displays power-law running in the ultraviolet, in agreement with earlier considerations.
SN  - 1550-7998
UR  - http://arxiv.org/abs/0910.4142
UR  - https://doi.org/10.1103/PhysRevD.81.034003
DO  - 10.1103/PhysRevD.81.034003
LA  - English
N1  - ISI:000275069000024
ID  - Aguilar+Papavassiliou2010
ER  -