Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line
| العنوان: | Heat kernel: Proper-time method, Fock–Schwinger gauge, path integral, and Wilson line |
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| المؤلفون: | N. V. Kharuk, A. V. Ivanov |
| المصدر: | Theoretical and Mathematical Physics. 205:1456-1472 |
| بيانات النشر: | Pleiades Publishing Ltd, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Exponential formula, Diagonal, Path integral formulation, Mathematical analysis, Statistical and Nonlinear Physics, Asymptotic expansion, Ordered exponential, Curved space, Mathematical Physics, Heat kernel, Fock space, Mathematics |
| الوصف: | This paper is devoted to the proper-time method and describes a model case that reflects the subtleties of constructing the heat kernel, is easily extended to more general cases (curved space, manifold with a boundary), and contains two interrelated parts: an asymptotic expansion and a path integral representation. We discuss the significance of gauge conditions and the role of ordered exponentials in detail, derive a new nonrecursive formula for the Seeley–DeWitt coefficients on the diagonal, and show the equivalence of two main approaches using the exponential formula. |
| تدمد: | 1573-9333 0040-5779 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::c23fc410def86050e9ae7d3155f3ecc9 https://doi.org/10.1134/s0040577920110057 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi...........c23fc410def86050e9ae7d3155f3ecc9 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 15739333 00405779 |
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