THE SPECTRAL REPRESENTATION OF PROPAGATOR FOR FERMION FIELD AND QUARK CONFINEMENT

GAO CHONG-SHOU; RUAN TU-NAN

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 |p²|«M² and 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]	MAO Ya-Jun . Search for the Pentaquark at the HERMES. Chinese Physics C, 2004, 28(12): 1332-1335.
[2]	YU YouWen , ZHANG ZongYe . NN Spin-Orbit Force from the Quark-Antiquark Pair Creation Model. Chinese Physics C, 2000, 24(7): 649-655.
[3]	MA BoQiang , HUANG XinBing , Jacques Soffer . Flavor Separation of Quark toΛ-Baryon Fragmentation. Chinese Physics C, 2000, 24(3): 196-202.
[4]	Liu Ximing , Wang Qun , Xie Qubing . Multiplictity Difference Between Heavy Quark events andLight Quark One. Chinese Physics C, 1998, 22(8): 699-706.
[5]	Jiang Junqin . The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[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 Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[8]	Shao Bin . Boson Realization of the Fermion Dynamical Symmetry Group. Chinese Physics C, 1994, 18(6): 541-546.
[9]	LUO Xiang-Qian , CHEN Qi-Zhou . Fermion Condensates in Lower Dimensional Gauge Theories. Chinese Physics C, 1992, 16(8): 685-695.
[10]	PAN Feng , CAO Yu-Fang , PAN Zhen-Yong . An Investigation of G Pair Included Fermion Dynamical Symmetry Model for Medium and Heavy Mass Nuclei. Chinese Physics C, 1991, 15(7): 647-654.
[11]	CHEN Xue-Jun . EXPRESSIONS OF FERMION OPERATORS IN THE INTERACTING BOSON-FERMION MODELS. Chinese Physics C, 1990, 14(2): 160-163.
[12]	ZHANG Xin-Min . THE THEORY OF GRAND UNIFICATION OF PREON WITH CONFINING WEAK INTERACTION. Chinese Physics C, 1986, 10(2): 186-189.
[13]	QI Yong-Chang . ON THE SUPERHEAVY FERMION——SO(10) MONOPOLE ZERO-ENERGY BOUND STATES. Chinese Physics C, 1986, 10(5): 545-552.
[14]	YANG Xin-E . THE COMPOSITE MODEL OF LEPTON AND QUARK WITH ONLY ONE CONSTITUENT SCALAR. Chinese Physics C, 1985, 9(5): 537-541.
[15]	ZHENG Yu-Ming , HUA Da-Ping , LIU Zu-Hua . QUARK CONFINEMENT POTENTIAL AND COLOR VAN DER WAALS FORCE. Chinese Physics C, 1985, 9(4): 467-475.
[16]	LI Chong-Sheng , HU Shi-Ke . ONE LOOP CORRECTIONS OF THE FERMION MASSES AND THE CP-VIOLATION CALCULATIONS OF THE STRONG AND WEAK INTERACTIONS. Chinese Physics C, 1983, 7(3): 333-341.
[17]	MA Zhong-Qi , TANG Ju-Fei . FERMIONS IN SU(5) COLORLESS DYON FIELD. Chinese Physics C, 1983, 7(1): 35-41.
[18]	LI XIN-ZHOU , GU MING-GAO , YIN PENG-CHENG . NONLINEAR SUPERFIELDS AND QUARK CONFINEMENT. Chinese Physics C, 1979, 3(6): 716-722.
[19]	HOU BO-YU , HOU BO-YUAN . ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE. Chinese Physics C, 1979, 3(6): 697-707.
[20]	XU BO-WEI . SPACE-TIME PROPERTY OF FERMION NUMBER. Chinese Physics C, 1979, 3(1): 60-66.

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(1750)
PDF Downloads(323)
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 of S_F' (p) as |p²|«M² and 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.