R emovability of the Topological Term in the 2+1 Dimensional CP<SUP>1</SUP> Model

Gao Xiaochun; Xu Donghui

Chinese Physics C> 1995, Vol. 19> Issue(5) : 413-419

R emovability of the Topological Term in the 2+1 Dimensional CP¹ Model

Gao Xiaochun ^, ,
Xu Donghui

Physics Department, Zhejiang University, Hangzhou 310027

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Abstract：
The removability of the topological term in 2+1 Dimensional CP¹ model is studied. Both the classical canonical transformation and quantum unitary transformation for the removal of the topological term are obtained. It is pointed out that,in order to give an answer to the question of whether the topological term exists or not, one has to study not only the corresponding microscopic spin model but also the vacuum structure of the CP¹ model.

References

[1]

F.Wilczek,A.Zee,Phys.Rev.Lett,51（1983）2250.[2]Y.S.Wu,A.Zee,Phys.Lett,147B（1984）325.[3]S.Chakravaty,B.I.Halperin,D.Nelson,Phys.Rev,39B（1989）2304.[4]I.Affleck,Phys.Rev,37B（1988）5186.[5]I.Dzyaloshinskii,A.M.Polyakov,P.Wiegmann,Phys.Lett.,127A（988）1057.[6]X.G.Wen,A.Zee,Phys.Rev.Lett,63（1989）461.[7]F.D.M.Haldane,Phys.Rev.Lett,61（1988）1029.[8]X.G.Wen,A.Zee,Phys.Rev.Lett,61（1988）1025.[9]E.Fradkin,M.Stone,Phys.Rev.38B（1988）7215.[10]高孝纯，汪涌，许昌波，李文铸，高能物理与核物理，13（1989）527.[11]高孝纯，许晶波，严激进，李文铸，高能物理与核物理，15（1991）591.[12]J.B.Xu（许晶波）,X.C.Gao（高孝纯）,J.J.Yan（严激进）,W.Z.Li（李文铸）,Z.Phys,51C（1991）133.[13]高孝纯，钱铁铮，高能物理与核物理，18（1994）136.[14]M.Bowick,etc,Nucl.Phys.,271B（1986）417.[15]P.Voruganti,Phys.Rev,39D（1989）1179.[16]N.K.Pak.R.Percacei,Phys.Rev.,43D（1991）1375.[17]D.Bergeron,etc,In,.J.Mod.Phys,7A（1992）2417.[18]Y.S.Wu,A.Zee:Nucl.Phys,272B（1986）417.[19]C.A.Mead,Reviews of Modern Phys,64（1992）51.[20]P.D.Peccei,H.Quinn,Phys.Rev.Lett.,38（1977）1440.[21]S.M.Barr,X.C.Gao（高孝纯）,D.B.Reiss,Phys.Rev,26D（1982）2176.

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[2]	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.
[3]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
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[5]	Hui Ping . Fifth Order Approximate Analytic Calculation of (2+1)-D SU(2) Vacuum Wavefunction. Chinese Physics C, 1998, 22(4): 322-325.
[6]	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.
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[8]	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.
[9]	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.
[10]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ Model and θ Vacuum. Chinese Physics C, 1994, 18(2): 137-142.
[11]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ model and ϑ-Vacuum. Chinese Physics C, 1993, 17(S4): 355-360.
[12]	SHEN Kun , QIU Zhong-Ping . Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[13]	SHEN Kun , QIU Zhong-Ping . Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[14]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT. Chinese Physics C, 1989, 13(1): 83-86.
[15]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE MC CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1989, 13(4): 316-319.
[16]	LUO Xiang-Qian , CHEN Qi-Zhou , GUO Shuo-Hong . VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[17]	ZHENG Wei-Hong , GUO Shuo-Hong . THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL U(1) LGT. Chinese Physics C, 1989, 13(2): 184-187.
[18]	LI Zhi-Bing , ZHENG Wei-Hong , GUO Shuo-Hong . THE STRING TENSION OF 2+1 DIMENSIONAL SU(2) GAUGE THEORIES. Chinese Physics C, 1989, 13(7): 670-672.
[19]	LIU Jin-Ming , ZHENG Wei-Hong , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(3) LATTICE CAUGE THEORY. Chinese Physics C, 1988, 12(3): 420-424.
[20]	ZHENG Wei-Hong , LIU Jin-Ming , GUO Shuo-Hong . THE MASS GAP IN 2+1 DIMENSIONAL SU(2) LATTICE GAUGE THEORY. Chinese Physics C, 1988, 12(1): 134-136.

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Gao Xiaochun and Xu Donghui. R emovability of the Topological Term in the 2+1 Dimensional CP¹ Model[J]. Chinese Physics C, 1995, 19(5): 413-419.

Gao Xiaochun and Xu Donghui. R emovability of the Topological Term in the 2+1 Dimensional CP¹ Model[J]. Chinese Physics C, 1995, 19(5): 413-419. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

R emovability of the Topological Term in the 2+1 Dimensional CP¹ Model

Gao Xiaochun ^,
Xu Donghui

Corresponding author: Gao Xiaochun,

Physics Department, Zhejiang University, Hangzhou 310027

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-05-05

Abstract: The removability of the topological term in 2+1 Dimensional CP¹ model is studied. Both the classical canonical transformation and quantum unitary transformation for the removal of the topological term are obtained. It is pointed out that,in order to give an answer to the question of whether the topological term exists or not, one has to study not only the corresponding microscopic spin model but also the vacuum structure of the CP¹ model.