Lax connections in TT-deformed integrable field theories  

作　　者：Bin Chen Jue Hou Jia Tian 陈斌;侯爵;田佳(School of Physics,Peking University,No.5 Yiheyuan Rd,Beijing 100871,China;Center for High Energy Physics,Peking University,No.5 Yiheyuan Rd,Beijing 100871,China;Peng Huanwu Center for Fundamental Theory,Hefei 230026,China;Kavli Institute for Theoretical Sciences(KITS),University of Chinese Academy of Science,Beijing 100190,China)

机构地区：[1]School of Physics,Peking University,No.5 Yiheyuan Rd,Beijing 100871,China [2]Center for High Energy Physics,Peking University,No.5 Yiheyuan Rd,Beijing 100871,China [3]Peng Huanwu Center for Fundamental Theory,Hefei 230026,China [4]Kavli Institute for Theoretical Sciences(KITS),University of Chinese Academy of Science,Beijing 100190,China

出　　处：《Chinese Physics C》2021年第9期125-135,共11页中国物理C（英文版）

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。

摘　　要：In this work,we attempt to construct the Lax connections of TT-deformed integrable field theories in two different ways.With 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 directly.This method is straightforward,but it may be difficult to apply for general models.We then make use of a dynamic coordinate transformation to read the Lax connection in the deformed theory from the undeformed one.We find that once the inverse of the transformation is available,the Lax connection can be read easily.We show the construction explicitly for a few classes of scalar models and find consistency with those determined using the first method.

关 键 词：integrable field theory Latex connection TT deformation 

分 类 号：O412.3[理学—理论物理]