Convergent perturbation theory for lattice models with fermions

被引：5

作者：

Sazonov, V. K. ^{[1
,2
]}

机构：

[1] Graz Univ, Dept Theoret Phys, Inst Phys, Univ Pl 5, A-8010 Graz, Austria

[2] St Petersburg State Univ, Dept Theoret Phys, Uljanovskaja 1, St Petersburg 198504, Petrodvorez, Russia

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 13期

基金：

奥地利科学基金会;

关键词：

Convergent perturbation theory; lattice models; bosonization; sign problem; QUANTUM-FIELD THEORY; APPROXIMATE EVALUATION; SERIES; INTEGRALS; BOSONIZATION;

D O I：

10.1142/S0217751X1650072X

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The standard perturbation theory in QFT and lattice models leads to the asymptotic expansions. However, an appropriate regularization of the path or lattice integrals allows one to construct convergent series with an infinite radius of the convergence. In the earlier studies, this approach was applied to the purely bosonic systems. Here, using bosonization, we develop the convergent perturbation theory for a toy lattice model with interacting fermionic and bosonic fields.

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页数：9

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