High temperature heat kernel expansion and its applications

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Vitaly Viktorovich Mikheyev¹ 

[1] Omsk State Technical University;

关键词: heat kernel;    statistic sum;    partition function;    non-commutative integration;    high-temperature asymptotics;    effective lagrangian;   

DOI  :  10.14498/vsgtu1183

来源: DOAJ

【 摘 要 】

The algorithm constructed to build the high-temperature heat kernel expansion and the statistic sum on the noncompact Lie groups manifolds is discussed in the article. The method is based on the formalism of non-commutative integration which originated from the coadjoint orbits' approach to the problems of integration and quantization. Applications of presented method to the problems of quantum statistic mechanics and quantum field theory are also discussed.

【 授权许可】

Unknown