Lax connections in TT-deformed integrable field theories

作     者：Bin Chen Jue Hou Jia Tian 陈斌;侯爵;田佳

作者机构：School of PhysicsPeking UniversityNo.5 Yiheyuan RdBeijing 100871China Center for High Energy PhysicsPeking UniversityNo.5 Yiheyuan RdBeijing 100871China Peng Huanwu Center for Fundamental TheoryHefei 230026China Kavli Institute for Theoretical Sciences(KITS)University of Chinese Academy of ScienceBeijing 100190China 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2021年第45卷第9期

页      面：125-135页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Supported by the National Natural Science Foundation of China(NSFC)(11735001) supported by the UCAS program of special research associate and by the internal funds of the KITS 

主　　题：integrable field theory Latex connection TT deformation 

摘      要：In this work,we attempt to construct the Lax connections of TT-deformed integrable field theories in two different *** reasonable assumptions,we make an ansatz and find the Lax pairs in the TT-deformed affine Toda theories and the principal chiral model by solving the Lax equations *** method is straightforward,but it may be difficult to apply for general *** then make use of a dynamic coordinate transformation to read the Lax connection in the deformed theory from the undeformed *** find that once the inverse of the transformation is available,the Lax connection can be read *** show the construction explicitly for a few classes of scalar models and find consistency with those determined using the first method.