TY  - JOUR
AU  - Aguilar, A. C.
AU  - Papavassiliou, J.
PY  - 2011
DA  - 2011//
TI  - Chiral symmetry breaking with lattice propagators
T2  - Phys. Rev. D
JO  - Physical Review D
SP  - 014013
EP  - 17pp
VL  - 83
IS  - 1
PB  - Amer Physical Soc
AB  - We study chiral symmetry breaking using the standard gap equation, supplemented with the infrared-finite gluon propagator and ghost dressing function obtained from large-volume lattice simulations. One of the most important ingredients of this analysis is the non-Abelian quark-gluon vertex, which controls the way the ghost sector enters into the gap equation. Specifically, this vertex introduces a numerically crucial dependence on the ghost dressing function and the quark-ghost scattering amplitude. This latter quantity satisfies its own, previously unexplored, dynamical equation, which may be decomposed into individual integral equations for its various form factors. In particular, the scalar form factor is obtained from an approximate version of the "one-loop dressed" integral equation, and its numerical impact turns out to be rather considerable. The detailed numerical analysis of the resulting gap equation reveals that the constituent quark mass obtained is about 300 MeV, while fermions in the adjoint representation acquire a mass in the range of (750-962) MeV.
SN  - 1550-7998
UR  - http://arxiv.org/abs/arXiv:1010.5815
UR  - https://doi.org/10.1103/PhysRevD.83.014013
DO  - 10.1103/PhysRevD.83.014013
LA  - English
N1  - ISI:000286765100005
ID  - Aguilar+Papavassiliou2011
ER  -