Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models
Axiomatic abstract formulations are presented to derive upper bounds on the degeneracy of the ground state in quantum field models including massless ones. In particular, given is a sufficient condition under which the degeneracy of the ground state of the perturbed Hamiltonian is less than or equal...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/8908413 |
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| _version_ | 1832553928529543168 |
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| author | Asao Arai Daiju Funakawa |
| author_facet | Asao Arai Daiju Funakawa |
| author_sort | Asao Arai |
| collection | DOAJ |
| description | Axiomatic abstract formulations are presented to derive upper bounds on the degeneracy of the ground state in quantum field models including massless ones. In particular, given is a sufficient condition under which the degeneracy of the ground state of the perturbed Hamiltonian is less than or equal to the degeneracy of the ground state of the unperturbed one. Applications of the abstract theory to models in quantum field theory are outlined. |
| format | Article |
| id | doaj-art-20e1c3cd643e4ad1bb5e9e0cda1b909f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-20e1c3cd643e4ad1bb5e9e0cda1b909f2025-02-03T05:52:49ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/89084138908413Upper Bounds on the Degeneracy of the Ground State in Quantum Field ModelsAsao Arai0Daiju Funakawa1Department of Mathematics, Hokkaido University, Sapporo 060-0810, JapanDepartment of Mathematics, Hokkaido University, Sapporo 060-0810, JapanAxiomatic abstract formulations are presented to derive upper bounds on the degeneracy of the ground state in quantum field models including massless ones. In particular, given is a sufficient condition under which the degeneracy of the ground state of the perturbed Hamiltonian is less than or equal to the degeneracy of the ground state of the unperturbed one. Applications of the abstract theory to models in quantum field theory are outlined.http://dx.doi.org/10.1155/2016/8908413 |
| spellingShingle | Asao Arai Daiju Funakawa Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models Advances in Mathematical Physics |
| title | Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models |
| title_full | Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models |
| title_fullStr | Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models |
| title_full_unstemmed | Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models |
| title_short | Upper Bounds on the Degeneracy of the Ground State in Quantum Field Models |
| title_sort | upper bounds on the degeneracy of the ground state in quantum field models |
| url | http://dx.doi.org/10.1155/2016/8908413 |
| work_keys_str_mv | AT asaoarai upperboundsonthedegeneracyofthegroundstateinquantumfieldmodels AT daijufunakawa upperboundsonthedegeneracyofthegroundstateinquantumfieldmodels |