Geodesic
High temperature heat kernel expansion and~its~applications
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 369-378

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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.
Keywords: heat kernel, statistic sum, partition function, non-commutative integration, high-temperature asymptotics, effective lagrangian. 
@article{VSGTU_2013_1_a37,
     author = {V. V. Mikheyev},
     title = {High temperature heat kernel expansion and~its~applications},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {369--378},
     publisher = {mathdoc},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a37/}
}
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V. V. Mikheyev. High temperature heat kernel expansion and~its~applications. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2013), pp. 369-378. http://geodesic.mathdoc.fr/item/VSGTU_2013_1_a37/