Quantum Field Theory with a Minimal Length Induced from Noncommutative Space

被引：0

作者：

林冰生 ^{[1
]}

衡太骅 ^{[2
]}

陈伟 ^{[1
]}

机构：

[1] Department of Mathematics, South China University of Technology

[2] School of Physics and Material Science, Anhui University

来源：

CommunicationsinTheoreticalPhysics | 2014年 / 61卷 / 05期

关键词：

noncommutative space; minimal length; quantum field theory;

D O I：

暂无

中图分类号：

O413.3 [量子场论与多体问题（核论）];

学科分类号：

070201 ;

摘要：

From the inspection of noncommutative quantum mechanics, we obtain an approximate equivalent relation for the energy dependence of the Planck constant in the noncommutative space, which means a minimal length of the space. We find that this relation is reasonable and it can inherit the main properties of the noncommutative space.Based on this relation, we derive the modified Klein–Gordon equation and Dirac equation. We investigate the scalar field and φ4model and then quantum electrodynamics in our theory, and derive the corresponding Feynman rules. These results may be considered as reasonable approximations to those of noncommutative quantum field theory. Our theory also shows a connection between the space with a minimal length and the noncommutative space.

引用

页码：605 / 610

页数：6

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