Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme
Through the systematic use of the Minlos theorem on the support of cylindrical measures on 𝑅∞, we produce several mathematically rigorous finite-volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite-volume Laplacia...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/257916 |
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| author | Luiz C. L. Botelho |
| author_facet | Luiz C. L. Botelho |
| author_sort | Luiz C. L. Botelho |
| collection | DOAJ |
| description | Through the systematic use of the Minlos theorem on the support of cylindrical measures on 𝑅∞, we produce several mathematically rigorous finite-volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite-volume Laplacian operator. |
| format | Article |
| id | doaj-art-479d21af34114cb58db2bb85f4b4ca30 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-479d21af34114cb58db2bb85f4b4ca302025-02-03T06:46:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/257916257916Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization SchemeLuiz C. L. Botelho0Departamento de Matemática Aplicada, Instituto de Matemática, Universidade Federal Fluminense, Rua Mario Santos Braga, 24220-140 Niterói, RJ, BrazilThrough the systematic use of the Minlos theorem on the support of cylindrical measures on 𝑅∞, we produce several mathematically rigorous finite-volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite-volume Laplacian operator.http://dx.doi.org/10.1155/2011/257916 |
| spellingShingle | Luiz C. L. Botelho Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme Advances in Mathematical Physics |
| title | Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme |
| title_full | Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme |
| title_fullStr | Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme |
| title_full_unstemmed | Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme |
| title_short | Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme |
| title_sort | some comments on rigorous finite volume euclidean quantum field path integrals in the analytical regularization scheme |
| url | http://dx.doi.org/10.1155/2011/257916 |
| work_keys_str_mv | AT luizclbotelho somecommentsonrigorousfinitevolumeeuclideanquantumfieldpathintegralsintheanalyticalregularizationscheme |