Volume dependence of the pion mass in the quark-meson model

被引：51
作者：
Braun, J
Klein, B
Pirner, HJ
机构：
[1] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany
[2] Max Planck Inst Kernphys, D-69117 Heidelberg, Germany
来源：
PHYSICAL REVIEW D | 2005年 / 71卷 / 01期
关键词：
D O I：
10.1103/PhysRevD.71.014032
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider the quark-meson-model in a finite three-dimensional volume using the Schwinger proper-time renormalization group. We derive and solve the flow equations for finite volume in local potential approximation. In order to break chiral symmetry in the finite volume, we introduce a small current quark mass. The corresponding effective meson potential breaks chiral O(4) symmetry explicitly, depending on sigma and pi--> fields separately. We calculate the volume dependence of the pion mass and of the pion decay constant with the renormalization group flow equations and compare with recent results from chiral perturbation theory in a finite volume.
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页码：014032 / 1
页数：13
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