2000 Fiscal Year Annual Research Report

可解模型の相関関数の積分表示式

Research Project

Project/Area Number	11740099
Research Institution	Nihon University
Principal Investigator	小島武夫日本大学, 理工学部, 助手 (80307800)
Keywords	可解模型 / 相関関数
Research Abstract	リー環A^<(1)>_<n-1>の対称性を持つ1次元スピン鎖の相関関数の積分表示を、領域\|q\|=1でもとめた。相関関数の満たすべき差分方程式の解をtype-IのVertex Opetarorsのボゾン表示をもとめることにより構成した。次に19Vertex Modelの相関関数を、領域\|q\|=1でもとめた。相関関数の満たすべき差分方程式の解をtype-IのVertex Opetarorsのより具体的な表示を、ボゾン、フェルミオンによりもとめることにより導いた。次にXXZ chain with a boundaryの相関関数を領域\|q\|=1でもとめた。相関関数の満たすべき差分方程式の解を構成した。より具体的方法はBoundary Statesのボゾン表示をもとめることによった。Lukyanovのuv-cutoffによらずに、直接的なVertex Operatorsのボゾン表示をもちいて、uv-cutoff的ではない直接的なBoundary Stateを構成した。次に有限サイズかつ両開境界条件のXXZ模型の固有ベクトルをもとめた。方法は擬Boundary Statesのボゾン表示をもとめることによった。次にSU(n)不変massive Thirring模型の形状因子をもとめた。方法はBoundary Statesのボゾン表示をもとめることによった。Local Operatorsのボゾン表示には、年度の最初に行ったA^<(1)>_<n-1>、鎖の研究が役にたった。

Research Products
(9 results)

All Other

All Publications (9 results)

[Publications] Furutsu,Kojima: "The Uq (s↑n) analogue of the XXZ chain with a boundary"Journal of Mathematical Physics. 41. 4413-4436 (2000)
[Publications] Frutsu,Kojima,Quano: "Type II Vertex Operatons for the A^<(1)>_<n-1> face Model"International Journal of Modern Physics A. 15. 1533-1556 (2000)
[Publications] Furutsu,Kojima,Quano: "Form factors of SV(2) invariant massive Thirring model with boundary reflection"International Journal of Modern Prysics A. 15. 3037-3052 (2000)
[Publications] Kojima,Quano: "Difference equations for the higher rank XXZ chain with a boundary"International Journal of Modern Physics A. 15. 3699-3716 (2000)
[Publications] Kojima,Yamasita: "The critical A^<(1)>_<n-1> chain"Journal of Physics A. 34(Now in press). (2001)
[Publications] Kojima: "The 19 Vertex Model at critical regime |q|=1"International Journal of Modern Physics A. 16(Now in press). (2001)
[Publications] Kojima: "The massless XXZ chain with a boundary"International Journal of Modern Physics A. 16(Now in Press). (2001)
[Publications] Kojima: "The SU(n) invariant massive Thirring model with boundary reflection"International Journal of Modern Physics A. 16(Now in press). (2001)
[Publications] Kojima: "The free field approach to the higher rank XXZ chain with a bourdary"Journal of Nonlinear Analysis . (Now in Press). (2001)

2000 Fiscal Year Annual Research Report

可解模型の相関関数の積分表示式

Principal Investigator

小島 武夫 日本大学, 理工学部, 助手 (80307800)

Research Products

[Publications] Furutsu,Kojima: "The Uq (s↑n) analogue of the XXZ chain with a boundary"Journal of Mathematical Physics. 41. 4413-4436 (2000)

[Publications] Frutsu,Kojima,Quano: "Type II Vertex Operatons for the A^<(1)>_<n-1> face Model"International Journal of Modern Physics A. 15. 1533-1556 (2000)

[Publications] Furutsu,Kojima,Quano: "Form factors of SV(2) invariant massive Thirring model with boundary reflection"International Journal of Modern Prysics A. 15. 3037-3052 (2000)

[Publications] Kojima,Quano: "Difference equations for the higher rank XXZ chain with a boundary"International Journal of Modern Physics A. 15. 3699-3716 (2000)

[Publications] Kojima,Yamasita: "The critical A^<(1)>_<n-1> chain"Journal of Physics A. 34(Now in press). (2001)

[Publications] Kojima: "The 19 Vertex Model at critical regime |q|=1"International Journal of Modern Physics A. 16(Now in press). (2001)

[Publications] Kojima: "The massless XXZ chain with a boundary"International Journal of Modern Physics A. 16(Now in Press). (2001)

[Publications] Kojima: "The SU(n) invariant massive Thirring model with boundary reflection"International Journal of Modern Physics A. 16(Now in press). (2001)

[Publications] Kojima: "The free field approach to the higher rank XXZ chain with a bourdary"Journal of Nonlinear Analysis . (Now in Press). (2001)

小島武夫日本大学, 理工学部, 助手 (80307800)