STRONG-COUPLING EXPANSION IN σ-MODEL

ZHANG Zhong-Can

Chinese Physics C> 1984, Vol. 8> Issue(6) : 677-687

STRONG-COUPLING EXPANSION IN σ-MODEL

ZHANG Zhong-Can ^,

Chongqing University

Abstract
HTML
Reference
Related

PDF

Abstract：
The general formulation and Feynman rules of strong coupling expansion in σ model are derived. Then the reduction of strong couplig expansion formulation is investigated. Finally, using Pade-type extrapolation technique, a useful research about dealing with divergences is presented.

References

[1]

E. R. Caianiello, Nuovo Cimento, 10(1953), 1634; 11(1954), 492.[2] E. R. Caianiello, and G. Scarpetta, Nuovo Cimenfo, 22A(1974), 448; Lett. Nuovo Cimento, 11(1974), 283.[3] W. Kainz, Lett. Nuovo Cimento, 12(1975), 217.[4] S. Kovesi-Domokos, Nuovo Cimento, 33A (1976), 769.[5] R. Menikoff and D. H. Sharp, J. Math. Phys., 19(1978), 135.[6] B. F. L. Ward, Nuouo Cimento, 45A (1978), 1; 45A (J.978), 28.[7] S. Horl, Nucl. Phys., 30(1962), 644.[8] L. I. Schiff, Phys. Rev. 92(1953), 766.[9] G. A. Baker, J. Math. Phys., 16(1975), 1324.[10] K. G. Wilson, Phys. Rev., D10(1974), 2445.[11] R. Balian, J. M. Drouffe, and C. Itzykson, Phys. Rev., D10(1974), 3376; 11( 1975), 2098; ( 19751,2104.[12] S. Drell, M. Weinstein, and S. Yankielowia, Phys. Rev., Dl4 (1976), 1627.[13] T. Banks, L. Susskind, and J. Kogut, Phys. Rev., D13(1976), 1013.[14] R. Benzi, G. Martinelli, and G. Parisi, Frascati report, 1978.[15] Carl M. Bender, Fred. Cooper, G. S. Guralnik, and David H. Sharp, Phys. Rev., D19(1979),1865.[16] Russel E. Caflisch and Kevin C. Nunan, Phys. Rev. Lett., 46(1981), 1.[17] Carl M. Bender, Fred Cooper, G. S. Guralnik, Ralph Roskies, and David H. Sharp, Phys. Rev.Lett., 43( 1979).[18] Car M. Bender, Lawrence R. Mead, and L. M. Simmons, J. Phys. Rev., D24(1981), 2674.[19] S. Coloman, R. Jackiw and H. D. Politzer, Phys. Rev., D10(1974), 2491.

[1]	CAI Rong-Gen . On Theoretical Models of Dark Energy. Chinese Physics C, 2007, 31(9): 827-834.
[2]	HU Jun-Hui , WENG Yao , HU Hai-Ming , YANG Yong-Xu , GAO Yuan-Ning , WANG Jun . Measurement of Strong Coupling Constant at Low Energy Range. Chinese Physics C, 2007, 31(6): 518-522.
[3]	JIA Duo-Jie , AI De-Zhen . Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory. Chinese Physics C, 2007, 31(5): 431-436.
[4]	HUI Ping . Improvement of the Coupled Cluster Method. Chinese Physics C, 2000, 24(6): 490-494.
[5]	Huang Mei , Zhuang Pengfei , Zhao Weiqin . External Momentum Expansion in NJL Model. Chinese Physics C, 1999, 23(9): 926-930.
[6]	Yu Hong , Shen Qixing . Multi-channel Coupling in the Hadronic Decay Process J/ψ→ωπ⁺π^－. Chinese Physics C, 1997, 21(2): 123-129.
[7]	ZHENG Xite , LEI Chunhong , LI Yuliang , CHEN Hong . Study of Higher Order Cumulant Expansion of U(1) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(12): 1076-1080.
[8]	DENG Wei-Zhen , YANG Ze-Sen , WANG Yu-Cheng . A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model. Chinese Physics C, 1993, 17(10): 907-911.
[9]	LI Guang-Hua , HE Hui-Yong . Calculating on Wavefunctions of the Ground State Band for the Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1992, 16(3): 278-284.
[10]	BAI Zhi-Ming , JIANG Yuan-Fang . The One Loop Calculation of the Strong coupling β Function in the Toy Model. Chinese Physics C, 1991, 15(3): 213-219.
[11]	LI Guang-Hua , SUN Hong-Zhou , HAN Qi-Zhi , LI Xian-Yin . The Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1991, 15(8): 742-747.
[12]	SHEN Kun , QIU Zhong-Ping . Electron-Positron Condensate and Non-Topological Soliton Model in the Strong-Coupling Phase of QED. Chinese Physics C, 1991, 15(5): 399-404.
[13]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[14]	GUO Shuo-Hong , LIU Jin-Ming , CHEN Qi-Zhou . QUARK MASS RENORMALIZATION IN LATTICE GAUGE THEORY (Ⅰ) STRONG COUPLING REGION AND CROSSOVER REGION. Chinese Physics C, 1984, 8(2): 167-176.
[15]	TAN Zheng-Qiang , JIANG Yi-An , CHEN Ke-Zhong , LI Qing-Run . A COMPARISON BETWEEN GLAUBER'S EXACT EXPANTION FORMULA AND THE RIGID PROJECTILE APPROXIMATION. Chinese Physics C, 1983, 7(4): 481-488.
[16]	YIN LO , LI YANG-GUO , LIU XIAN-HUI . OPERATOR THEORY OF HADRON SCATTERING IN GEOMETRICAL MODEL. Chinese Physics C, 1981, 5(6): 653-663.
[17]	Yang Ze-sen . IMPROVEMENT OF THE COUPLED CHANNEL OPTICAL MODEL CALCULATION. Chinese Physics C, 1980, 4(3): 374-381.
[18]	SHEN QI-XING , HUANG TAO . THE PSEUDOSCALAR GLUON AND THE HADRON STRUCTURE. Chinese Physics C, 1979, 3(3): 277-284.
[19]	ZHU WEI , LU JI-ZONG , ZHANG MIN-SHENG , YIN PENG-CHENG . A φ⁴-TYPE BAG MODEL OF HADRONS——THE “RUBBER BAG” MODEL（Ⅰ）——THEORY. Chinese Physics C, 1979, 3(1): 34-42.
[20]	YIN PONG-CHENG . QUANTUM EXPANSION AROUND THE VERTEX TYPE SOLUTION OF N-O MODEL. Chinese Physics C, 1978, 2(3): 193-199.

Access

Get Citation

ZHANG Zhong-Can. STRONG-COUPLING EXPANSION IN σ-MODEL[J]. Chinese Physics C, 1984, 8(6): 677-687.

ZHANG Zhong-Can. STRONG-COUPLING EXPANSION IN σ-MODEL[J]. Chinese Physics C, 1984, 8(6): 677-687. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(1750)
PDF Downloads(455)
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

STRONG-COUPLING EXPANSION IN σ-MODEL

ZHANG Zhong-Can ^,

Corresponding author: ZHANG Zhong-Can,

Chongqing University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-12-05

Abstract: The general formulation and Feynman rules of strong coupling expansion in σ model are derived. Then the reduction of strong couplig expansion formulation is investigated. Finally, using Pade-type extrapolation technique, a useful research about dealing with divergences is presented.