Decomposition of the <EM>SU</EM>(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

LI Xi-Guo; JIA Duo-Jie; GAO Yuan

Chinese Physics C> 2003, Vol. 27> Issue(1) : 12-14

Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

Research Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Collisions,Lanzhou 730000,China2 Institute of Modern Physics,The Chinese Academy of Sciences,Lanzhou 730000,China3 Institute of Theoretical Physics,Lanzhou University, Lanzhou 730000,China

Abstract
HTML
Reference
Related

PDF

Abstract：
Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate,the SU/(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.

References

[1]

Faddeev L, Niemi A. Nature, 1997, 387: 58; Battye R, Sutcliffe P.Phys. Rev. Lett.,1998,81:47982 Faddeev L,Niemi A. Phys. Rev. Lett.,1999,82:16243 Bee W S, Cho Y M, Kimm S W. hep-th/01051634 LI Xi-Guo. General Decomposition Theory of Gauge Potential Gauss-Bonnet-Chern Theorem and Inner Structure of Torsion, Doctoral Disser-tation,Lanzhou University,19945 LI Xi-Guo, DUAN Yi-Shi, SONG Jian-Jun. High Energy Phys. and Nucl. Phys.,2001,25:296 (in Chinese)(李希国, 段一士, 宋建军.高能物理与核物理, 2001,25:296)6 DUAN Yi-Shi,LI Xi-Guo. Hilv. Phys. Acta,1995,68:5137 YANG G H. General Relativity and Gravitation,2001,33:10278 LI Xi-Guo. Rev. Nucl. Phys.,2000,17(4):2019 DUAN Yi-Shi,JIA Duo-Jie. Chin. Phys. Lett.,2001,18(4):47310 Mathews M R,Andexson et al. Phys. Rev. Lett., 1999 , 83 : 2498 ; Kha-waja U A , Stoof H . Nature (London) , 2001, 411: 91811 Mermin M R, Ho T L. Phys. Rev. Lett., 1976,36:59412 JIA Duo-Je, DUAN Yi-Shi, LE Xi-Guo. Phys. Lett., 2001, A289:245-250

[1]	Qing-Hua He . An energy sum constraint of event mixing for Bose-Einstein correlations in reactions with ππX final states around 1 GeV. Chinese Physics C, 2018, 42(7): 074004. doi: 10.1088/1674-1137/42/7/074004
[2]	Qing-Hua He , H. Fujimurala , H. Fukasawa , R. Hashimoto , Y. Honda , T. Ishikawa , T. Iwata . An event mixing technique for Bose-Einstein correlations of two pions in photoproduction around 1 GeV. Chinese Physics C, 2016, 40(11): 114002. doi: 10.1088/1674-1137/40/11/114002
[3]	ZHANG Zhan-Jun , MA Qing-Shan , ZHANG Jun . Critical temperature and condensed fraction of Bose-Einstein condensation in an external potential. Chinese Physics C, 2011, 35(8): 722-724. doi: 10.1088/1674-1137/35/8/005
[4]	YANG Zhi-Tao , HUO Lei , ZHANG Jing-Bo , ZHANG Wei-Ning , . Two- and Three-Pion Bose-Einstein Correlations for Granular Source of Coherent Droplets. Chinese Physics C, 2007, 31(3): 274-277.
[5]	JIANG Jun-Qin . Quark Condensate in Two-Dimensional SU(N_C) Lattice Gauge Theory with Massive Wilson Quarks. Chinese Physics C, 2007, 31(1): 19-22.
[6]	JIANG JunQin . Study of the Vacuum State for 2+1 Dimensional SU(2) Lattice Gauge Field Theory. Chinese Physics C, 2000, 24(10): 922-926.
[7]	Hin Ping . Convergent Behavior of (2+1)-D SU(2)Glueball Mass and Glueball Wavefunction. Chinese Physics C, 1999, 23(12): 1171-1176.
[8]	Hui Ping , Cai Pengfei , Chen Qizhou . Analytic calculation of Glueball Mass In (2+1)-D SU(2)Lattice Gauge Theory. Chinese Physics C, 1996, 20(1): 55-60.
[9]	Feng Zhonghan , Sa Benhao , Wang Ruihong . π^－π^－ Bose-Einstein Correlation at AGS Energies. Chinese Physics C, 1996, 20(2): 142-147.
[10]	Chen Qizhou , Fang Xiyan , Guo Shouhong . Calculation of Vacuum State for 2+1-Dimensional SU(3) Lattice Gauge Theory. Chinese Physics C, 1995, 19(5): 398-404.
[11]	Chen Qizhou , Li Lei , Li Zhibing , Guo Shuohong . Vacuum Wave Function Study of 2+1 Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(5): 417-423.
[12]	Chen Qizhou , Li Zhibing , Li Lei , Guo Shuohong . Infrared Vacuum Wavefunction of (2+1)-Dimensional SU(2) Gauge Field. Chinese Physics C, 1994, 18(1): 37-42.
[13]	WU Ji-Min , ZHAO Pei-Ying . ANALYTIC CALCULATION FOR GLUON CONDENSATION IN SU (2) LATTICE GAUGE THEORY. Chinese Physics C, 1987, 11(1): 64-67.
[14]	WU DAN-DI , LI TIE-ZHONG . HIGGS MIXING AND PROTON DECAY IN THE UNIFIED GAUGE MODEL SU(4)_C×SU(2)_L×SU(2)_R. Chinese Physics C, 1983, 7(6): 702-708.
[15]	NI GUANG-JIONG , SU RU-KENG , CHEN SU-QING . BOSE CONDENSATION OF SU(2) HIGGS FIELDS AND THE ELECTRON MASS IN WEINBERG-SALAM MODEL. Chinese Physics C, 1981, 5(4): 429-440.
[16]	Tao Fu-zhen , Yao Qi-yuan , Ou Zhi , He Zhi-qiang . THE SPHERICAL SOLUTIONS OF THE SCALAR FIELD EQUATION IN SU (2) GAUGE FIELD THEORY. Chinese Physics C, 1980, 4(2): 179-185.
[17]	Dong Fang-xiao , Zhou Xian-jian , Huang Tao , Xue Pei-you . THE TIME-DEPENDENCES OF THE STATIC SOLUTION OF SU(2) AND SU(3) GAUGE THEORY AT THE PRESENCE OF STATIC EXTENDED SOURCE. Chinese Physics C, 1980, 4(6): 724-734.
[18]	Ge Mo-lin , Duan Yi-shi . ON THE GAUGE VACUUM EFFECTS IN SU₂ GAUGE THEORY. Chinese Physics C, 1980, 4(5): 539-544.
[19]	WANG YUN-KONG , CHANG KUO-TIU , HOU BO-YU . A SERIES OF SOURCELESS SOLUTION OF SU(2) GAUGE FIELDS——THE SU(2) AND U(1) POTENTIAL OF STATIC MONOPOLE SYSTEMS. Chinese Physics C, 1978, 2(4): 368-370.
[20]	WU YONG-SHI , CHEN SHIH , TU TUNG-SHENG , GUO HAN-YING . DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OF SU₂ & SO₃ GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

LI Xi-Guo, JIA Duo-Jie and GAO Yuan. Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate[J]. Chinese Physics C, 2003, 27(1): 12-14.

LI Xi-Guo, JIA Duo-Jie and GAO Yuan. Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate[J]. Chinese Physics C, 2003, 27(1): 12-14. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-03-19
Revised: 1900-01-01

Article Metric

Article Views(4013)
PDF Downloads(659)
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

Decomposition of the SU(2) Gauge Field and Circulation Condition of the Bose-Einstein Condensate

Corresponding author: LI Xi-Guo,

Research Center of Theoretical Nuclear Physics,National Laboratory of Heavy Ion Collisions,Lanzhou 730000,China2 Institute of Modern Physics,The Chinese Academy of Sciences,Lanzhou 730000,China3 Institute of Theoretical Physics,Lanzhou University, Lanzhou 730000,China

Received Date: 2002-03-19
Accepted Date: 1900-01-01
Available Online: 2003-01-05

Abstract: Using decomposition of the SU(2) gauge field in terms of unit vector field, we have discussed circulation condition of the spin-1/2 Bose-Einstein dendensate. For the two-component Bose-Einstein condensate,the SU/(2) symmetry of the internal states leads to a generalization of Mermin-Ho relation as a topological constrain of the superfluid velocity.