Exact Mass-Coupling Relation for the Homogeneous Sine-Gordon Model

被引：8

作者：

Bajnok, Zoltan ^{[1
]}

Balog, Janos ^{[1
]}

Ito, Katsushi ^{[2
]}

Satoh, Yuji ^{[3
]}

Toth, Gabor Zsolt ^{[1
]}

机构：

[1] Wigner Res Ctr, MTA Lendulet Holog QFT Grp, POB 49, H-1525 Budapest, Hungary

[2] Tokyo Inst Technol, Dept Phys, Tokyo 1528551, Japan

[3] Univ Tsukuba, Inst Phys, Tsukuba, Ibaraki 3058571, Japan

来源：

PHYSICAL REVIEW LETTERS | 2016年 / 116卷 / 18期

关键词：

THERMODYNAMIC BETHE-ANSATZ; QUANTUM-FIELD THEORIES; SCALING 3-STATE POTTS; FORM-FACTORS; SIGMA-MODEL; GAP; PERTURBATIONS; O(3);

D O I：

10.1103/PhysRevLett.116.181601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive the exact mass-coupling relation of the simplest multiscale quantum integrable model, i.e., the homogeneous sine-Gordon model with two mass scales. The relation is obtained by comparing the perturbed conformal field theory description of the model valid at short distances to the large distance bootstrap description based on the model's integrability. In particular, we find a differential equation for the relation by constructing conserved tensor currents, which satisfy a generalization of the Theta sum rule Ward identity. The mass-coupling relation is written in terms of hypergeometric functions.

引用

页数：5