Hidden Grassmann Structure in the XXZ Model V: Sine-Gordon Model

被引：47

作者：

Jimbo, Michio ^{[1
]}

Miwa, Tetsuji ^{[2
]}

Smirnov, Fedor ^{[3
,4
,5
]}

机构：

[1] Rikkyo Univ, Coll Sci, Toshima Ku, Tokyo 1718501, Japan

[2] Kyoto Univ, Dept Math, Grad Sch Sci, Kyoto 6068502, Japan

[3] Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland

[4] Trinity Coll Dublin, Sch Math, Dublin 2, Ireland

[5] Univ Paris 06, Phys Theor & Hautes Energies Lab, F-75252 Paris 05, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2011年 / 96卷 / 1-3期

关键词：

quantum field theory; integrable models; sine-Gordon model; conformal field theory; THERMODYNAMIC BETHE-ANSATZ; CONFORMAL FIELD-THEORY; INTEGRABLE STRUCTURE; EXPECTATION VALUES; ALGEBRA;

D O I：

10.1007/s11005-010-0438-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study one-point functions of the sine-Gordon model on a cylinder. Our approach is based on a fermionic description of the space of descendent fields, developed in our previous works for conformal field theory and the sine-Gordon model on the plane. In the present paper we make an essential addition by giving a connection between various primary fields in terms of yet another kind of fermions. The one-point functions of primary fields and descendants are expressed in terms of a single function omega(sG)(R) (zeta, xi broken vertical bar alpha), defined via the data from the thermodynamic Bethe Ansatz equations.

引用

页码：325 / 365

页数：41

共 41 条

[1] Hidden Grassmann Structure in the XXZ Model V: Sine-Gordon Model
Michio Jimbo
Tetsuji Miwa
Fedor Smirnov
Letters in Mathematical Physics, 2011, 96 : 325 - 365
[2] Hidden Grassmann Structure in the XXZ Model IV: CFT Limit
Boos, H.
Jimbo, M.
Miwa, T.
Smirnov, F.
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 299 (03) : 825 - 866
[3] ON ONE-POINT FUNCTIONS OF DESCENDANTS IN SINE-GORDON MODEL
Jimbo, Michio
Miwa, Tetsuji
Smirnov, Fedor
NEW TRENDS IN QUANTUM INTEGRABLE SYSTEMS, 2011, : 117 - 137
[4] Renormalization of the bilocal sine-Gordon model
Steib, I
Nagy, S.
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2019, 34 (21):
[5] Fermionic screening operators in the sine-Gordon model
Jimbo, M.
Miwa, T.
Smirnov, F.
PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (23-24) : 2122 - 2130
[6] On the form factors of local operators in the lattice sine-Gordon model
Grosjean, N.
Maillet, J. M.
Niccoli, G.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2012,
[7] Renormalizable parameters of the sine-Gordon model
Nagy, S.
Nandori, I.
Polonyi, J.
Sailer, K.
PHYSICS LETTERS B, 2007, 647 (2-3) : 152 - 158
[8] The sine-Gordon model revisited: I
Niccoli, G.
Teschner, J.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2010,
[9] Finite volume expectation values in the sine-Gordon model
Hegedus, Arpad
JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (01)
[10] Sine-Gordon Model: Renormalization Group Solution and Applications
Malard, Mariana
BRAZILIAN JOURNAL OF PHYSICS, 2013, 43 (03) : 182 - 198

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