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Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Complex Systems, Quantum Mechanics, Information Theory
High temperature heat kernel expansion and its applications
V. V. Mikheyev Omsk State Technical University, Omsk, 644050, Russia
(published under the terms of the Creative Commons Attribution 4.0 International License)
Abstract:
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.
Original article submitted 16/XI/2012 revision submitted – 27/I/2013
Citation:
V. V. Mikheyev, “High temperature heat kernel expansion and its applications”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 369–378
Linking options:
https://www.mathnet.ru/eng/vsgtu1183 https://www.mathnet.ru/eng/vsgtu/v130/p369
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Abstract page: | 455 | Full-text PDF : | 216 | References: | 64 | First page: | 1 |
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