On the absence and presence of pole(s) in fermion propagator in the simple model with mass.pdf

下载文档

1
0
约3.63万字
约 11页
2017-04-09 发布于江苏
举报
版权申诉
保障服务

On the absence and presence of pole(s) in fermion propagator in the simple model with mass.pdf

1、本文档共11页，可阅读全部内容。
2、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。
3、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
4、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。

On the absence and presence of pole(s) in fermion propagator in the simple model with mass

a r X i v : h e p - p h / 0 7 0 1 1 6 1 v 3 2 5 A p r 2 0 0 7 On the absence and presence of pole(s) in fermion propagator in the simple model with mass generation V. S?auli1 and F. Kleefeld2 1CFTP and Departamento de F??sica, Instituto Superior Te?cnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal 2Department of Theoretical Physics, Nuclear Physics Institute, R?ez? near Prague, CZ-25068, Czech Republic Within the Pauli-Villars regularization technique the fermion propagator is studied in the frame- work of Schwinger-Dyson equations in the Euclidean space. Making the generalization of Fukuda and Kugo proposals, the analytical continuation is performed into the timelike region of fourmomenta. The massive gauge boson is considered and the fermion propagator pole structure is discussed in detail. PACS numbers: 11.10.St, 11.15.Tk I. INTRODUCTION The natural nonperturbative framework for the study of infrared properties of QCD Green’s functions in the whole Minkowski space is the formalism of Schwinger-Dyson equations (SDEs). The complex of SDEs is an infinite tower of coupled integral equations which must be truncated to be tractable in practice. Most of the studies concerns the solution of SDEs in Quantum Chromodynamics [1] where it is believed they can give the correct description of chiral symmetry breaking and confinement. It is well known fact the the masses of the particles can be largely enhanced in strong coupling theory like QCD. The property and difficulty to extract a correct picture of dynamical mass generation attracts much attention in recent modeling of QCD [2, 3], Technicolors [4] and strong coupling models with spinless scalar bosons [5]. The models in two later cases represent the dynamical alternatives to Standard model Higgs mechanism. These models can break symmetry but avoid the introduction of negative scalar boson mass term for this purpose. In QCD, this is certainly the asymptotic freedom and its associated regulating character of the ultra