From the sine-Gordon field theory to the Kardar-Parisi-Zhang growth equation

被引：24

作者：

Calabrese, Pasquale ^{[1
,2
]}

Kormos, Marton ^{[3
]}

Le Doussal, Pierre ^{[4
]}

机构：

[1] Univ Pisa, Dipartimento Fis, I-56127 Pisa, Italy

[2] Ist Nazl Fis Nucl, I-56127 Pisa, Italy

[3] MTA BME Momentum Stat Field Theory Res Grp, H-1111 Budapest, Hungary

[4] Ecole Normale Super, CNRS, Phys Theor Lab, F-75231 Paris 05, France

来源：

EPL | 2014年 / 107卷 / 01期

关键词：

EXACT FORM-FACTORS; GROWING INTERFACES; DIRECTED POLYMER; BETHE-ANSATZ; FREE-ENERGY; MODEL; FLUCTUATIONS; DIMENSIONS;

D O I：

10.1209/0295-5075/107/10011

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We unveil a remarkable connection between the sine-Gordon quantum field theory and the Kardar-Parisi-Zhang (KPZ) growth equation. We find that the non-relativistic limit of the two-point correlation function of the sine-Gordon theory is related to the generating function of the height distribution of the KPZ field with droplet initial conditions, i.e. the directed polymer free energy with two endpoints fixed. As shown recently, the latter can be expressed as a Fredholm determinant which in the large-time separation limit converges to the GUE Tracy-Widom cumulative distribution. Possible applications and extensions are discussed. Copyright (C) EPLA, 2014

引用

页数：6

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