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Dirac relation and renormalization group equations for electric and magnetic fine structure constants
The quantum field theory describing electric and magnetic charges and revealing a dual symmetry was developed in the Zwanziger formalism. The renormalization group (RG) equations for both fine structure constants - electric $\alpha $ and magnetic $\tilde \alpha $ - were obtained. It was shown that t...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
1999
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1142/S0217732399002935 http://cds.cern.ch/record/403569 |
| _version_ | 1780894271864307712 |
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| author | Laperashvili, L.V. Nielsen, Holger Bech |
| author_facet | Laperashvili, L.V. Nielsen, Holger Bech |
| author_sort | Laperashvili, L.V. |
| collection | CERN |
| description | The quantum field theory describing electric and magnetic charges and revealing a dual symmetry was developed in the Zwanziger formalism. The renormalization group (RG) equations for both fine structure constants - electric $\alpha $ and magnetic $\tilde \alpha $ - were obtained. It was shown that the Dirac relation is valid for the renormalized $\alpha $ and $\tilde perturbatively only in the small region: $0.25 \stackrel{<}{\sim} \alpha, relation: $\alpha {\tilde \alpha} = \frac 14 $. |
| id | cern-403569 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1999 |
| record_format | invenio |
| spelling | cern-4035692023-03-14T19:57:38Zdoi:10.1142/S0217732399002935http://cds.cern.ch/record/403569engLaperashvili, L.V.Nielsen, Holger BechDirac relation and renormalization group equations for electric and magnetic fine structure constantsParticle Physics - TheoryThe quantum field theory describing electric and magnetic charges and revealing a dual symmetry was developed in the Zwanziger formalism. The renormalization group (RG) equations for both fine structure constants - electric $\alpha $ and magnetic $\tilde \alpha $ - were obtained. It was shown that the Dirac relation is valid for the renormalized $\alpha $ and $\tilde perturbatively only in the small region: $0.25 \stackrel{<}{\sim} \alpha, relation: $\alpha {\tilde \alpha} = \frac 14 $.The quantum field theory describing electric and magnetic charges and revealing a dual symmetry was developed in the Zwanziger formalism. The renormalization group (RG) equations for both fine structure constants - electric $\alpha$ and magnetic $\tilde \alpha$ - were obtained. It was shown that the Dirac relation is valid for the renormalized $\alpha $ and $\tilde \alpha$ at the arbitrary scale, but these RG equations can be considered perturbatively only in the small region: $0.25 \stackrel{<}{\sim} \alpha, \tilde \alpha \stackrel{<}{\sim} 1$ with $\tilde \alpha$ given by the Dirac relation: $\alpha {\tilde \alpha}$ = 1/4.hep-th/9910101CERN-TH-99-276oai:cds.cern.ch:4035691999-10-14 |
| spellingShingle | Particle Physics - Theory Laperashvili, L.V. Nielsen, Holger Bech Dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| title | Dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| title_full | Dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| title_fullStr | Dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| title_full_unstemmed | Dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| title_short | Dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| title_sort | dirac relation and renormalization group equations for electric and magnetic fine structure constants |
| topic | Particle Physics - Theory |
| url | https://dx.doi.org/10.1142/S0217732399002935 http://cds.cern.ch/record/403569 |
| work_keys_str_mv | AT laperashvililv diracrelationandrenormalizationgroupequationsforelectricandmagneticfinestructureconstants AT nielsenholgerbech diracrelationandrenormalizationgroupequationsforelectricandmagneticfinestructureconstants |