Chinese Physics C > 1981, Vol. 5 > Issue(3): 273-281

THE SPECTRAL REPRESENTATION OF PROPAGATOR FOR FERMION FIELD AND QUARK CONFINEMENT

Abstract
HTML
Reference
Related

PDF

Abstract：
The properties of fermion causal Green's function is discussed according to the theory of spectral representation. The definition of effective mass is established from the view point of field theory, and the approximate expression of S_F'( p) as | p ²| « M²and the asymptotic formula of S_F'( p) as p²→+∞ is given. In terms of these result the problem of quark confinement is discussed. We find that: (ⅰ) Based on the theory of spectral re presentation the concept of relative confinement is allowed, and if renormalization effect is strong, the quarks can demonstrate definitely lighter effective mass when they are far away from the mass shell; (ⅱ) Based on the theory of spectral representation the concept of absolute confinement is unallowable, even the absolute confinement is taken as the limit of relative confinement. That is if the concept of absolute confinement is introduced, we must discard a part of elementary hypothesis of spectral representation theory.

[1]	MA Cheng-Cheng,XU Xiao-Ming. qqq→qqq Reaction in Quark-Gluon Matter. Chinese Physics C, 2007, 31(2): 162-167.
[2]	YANG Fang,ZHOU Yun-Qing,LI Jia-Rong. Distribution Function for Fermions in Quasi-equilibrium QGP. Chinese Physics C, 2003, 27(1): 58-62.
[3]	MA BoQiang,HUANG XinBing,Jacques Soffer. Flavor Separation of Quark toΛ-Baryon Fragmentation. Chinese Physics C, 2000, 24(3): 196-202.
[4]	Feng Shengzu,Ruan Tunan. Comments on the Bosonnization Technique of Fermions. Chinese Physics C, 1999, 23(11): 1119-1124.
[5]	Liu Ximing,Wang Qun,Xie Qubing. Multiplictity Difference Between Heavy Quark events andLight Quark One. Chinese Physics C, 1998, 22(8): 699-706.
[6]	He Zejun. Characteristic Dilepton Distribution for Quark-Gluon Matter. Chinese Physics C, 1997, 21(3): 269-274.
[7]	Yang Jianjun,Ma Boqiang,Li Guanglie. Non-perturbative Quark Propagator and the Study of the Non-trivial Q²Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[8]	Liu Yaoyang,Jiang Xiangdong,Zhou Jiange. A Quark Model Including Lepton Structure. Chinese Physics C, 1996, 20(10): 900-912.
[9]	Chen Fengzhi,Gou Liang. Unified Model Accomodating Three Generations of Fermions. Chinese Physics C, 1995, 19(6): 513-518.
[10]	LUO Xiang-Qian,CHEN Qi-Zhou. Fermion Condensates in Lower Dimensional Gauge Theories. Chinese Physics C, 1992, 16(8): 685-695.
[11]	BIAN Jian-Guo. Non-Perturbative Propagators in QCD. Chinese Physics C, 1991, 15(11): 973-980.
[12]	ZHENG Tai-Yu. INTERNAL FERMION ONE-LOOP CONTRIBUTION TO THE CASIMIR FORCE. Chinese Physics C, 1990, 14(9): 796-801.
[13]	CHEN Xue-Jun. EXPRESSIONS OF FERMION OPERATORS IN THE INTERACTING BOSON-FERMION MODELS. Chinese Physics C, 1990, 14(2): 160-163.
[14]	QI Yong-Chang. ON THE SUPERHEAVY FERMION——SO(10) MONOPOLE ZERO-ENERGY BOUND STATES. Chinese Physics C, 1986, 10(5): 545-552.
[15]	CHEN Lin,LI Hong-Cai,RUAN Tu-Nan. CONFINED MODEL IN FERMION COHERENT STATE. Chinese Physics C, 1985, 9(4): 412-420.
[16]	MA Zhong-Qi,TANG Ju-Fei. FERMIONS INSU(5) COLORLESS DYON FIELD. Chinese Physics C, 1983, 7(1): 35-41.
[17]	SUN HONG-ZHOU,HAN QI-ZHI. THE CLASSIFICATION OF THE WAVE FUNCTIONS OF BOSONS AND FERMIONS. Chinese Physics C, 1982, 6(3): 317-322.
[18]	Zhou Xian-jian,Xue Pei-you. WEAK COUPLING APPROXIMATE SCHWINGER-DYSON EQUATION OF THE STRATON'S PROPAGATOR IN QUANTUM CHROMODYNAMICS AND ITS SOLUTIONS. Chinese Physics C, 1980, 4(1): 49-62.
[19]	XU BO-WEI. SPACE-TIME PROPERTY OF FERMION NUMBER. Chinese Physics C, 1979, 3(1): 60-66.
[20]	YANG ZE-SEN,ZHONG YU-SHU,QI HUI,YANG LI-MING. A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM. Chinese Physics C, 1978, 2(2): 158-167.

Access

Get Citation

GAO CHONG-SHOU and RUAN TU-NAN. THE SPECTRAL REPRESENTATION OF PROPAGATOR FOR FERMION FIELD AND QUARK CONFINEMENT[J]. Chinese Physics C, 1981, 5(3): 273-281.

GAO CHONG-SHOU and RUAN TU-NAN. THE SPECTRAL REPRESENTATION OF PROPAGATOR FOR FERMION FIELD AND QUARK CONFINEMENT[J]. Chinese Physics C, 1981, 5(3): 273-281. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-08-06
Revised: 1900-01-01

Article Metric

Article Views(3013)
PDF Downloads(329)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

THE SPECTRAL REPRESENTATION OF PROPAGATOR FOR FERMION FIELD AND QUARK CONFINEMENT

GAO CHONG-SHOU
RUAN TU-NAN

Received Date:1979-08-06
Accepted Date:1900-01-01
Available Online:1981-06-05

Abstract:The properties of fermion causal Green's function is discussed according to the theory of spectral representation. The definition of effective mass is established from the view point of field theory, and the approximate expression ofS_F'(p) as |p²|«M²and the asymptotic formula ofS_F'(p) asp²→+∞ is given. In terms of these result the problem of quark confinement is discussed. We find that: (ⅰ) Based on the theory of spectral re presentation the concept of relative confinement is allowed, and if renormalization effect is strong, the quarks can demonstrate definitely lighter effective mass when they are far away from the mass shell; (ⅱ) Based on the theory of spectral representation the concept of absolute confinement is unallowable, even the absolute confinement is taken as the limit of relative confinement. That is if the concept of absolute confinement is introduced, we must discard a part of elementary hypothesis of spectral representation theory.