A lattice model for the fermionic projector in a static and isotropic space-time

被引：1

作者：

Finster, Felix ^{[1
]}

Plaum, Waetzold ^{[1
]}

机构：

[1] Univ Regensburg, NWF I Math, D-93040 Regensburg, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2008年 / 281卷 / 06期

关键词：

variational principle; indefinite inner product space; lattice model;

D O I：

10.1002/mana.200710642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a lattice model for a static and isotropic system of relativistic fermions. An action principle is formulated, which describes a particle-particle interaction of all fermions. The model is designed specifically for a numerical analysis of the nonlinear interaction, which is expected to lead to the formation of a Dirac sea structure. We discuss basic properties of the system. It is proved that the minimum of the variational principle is attained. First numerical results reveal an effect of spontaneous symmetry breaking. (C) 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：803 / 816

页数：14

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