Chiral symmetry breaking with lattice propagators

被引：91

作者：

Aguilar, A. C. ^{[1
]}

Papavassiliou, J. ^{[2
,3
]}

机构：

[1] Fed Univ ABC, CCNH, BR-09210170 Santo Andre, Brazil

[2] Univ Valencia, Dept Theoret Phys, CSIC, E-46100 Valencia, Spain

[3] Univ Valencia, IFIC, CSIC, E-46100 Valencia, Spain

来源：

PHYSICAL REVIEW D | 2011年 / 83卷 / 01期

关键词：

BACKGROUND FIELD METHOD; SU(3) GAUGE-THEORY; QUARK CONDENSATE; PINCH TECHNIQUE; 3-POINT VERTEX; GLUON MASS; QCD; CONFINEMENT; EQUATIONS; BREAKDOWN;

D O I：

10.1103/PhysRevD.83.014013

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：17

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