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Convergence and stability of the renormalisation group
Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning fo...
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| Lenguaje: | eng |
| Publicado: |
2002
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| Acceso en línea: | http://cds.cern.ch/record/576824 |
| _version_ | 1780899387823620096 |
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| author | Litim, Daniel F. |
| author_facet | Litim, Daniel F. |
| author_sort | Litim, Daniel F. |
| collection | CERN |
| description | Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for 3d scalar theories at criticality. Implications for other theories are discussed. |
| id | cern-576824 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2002 |
| record_format | invenio |
| spelling | cern-5768242023-03-14T18:42:18Zhttp://cds.cern.ch/record/576824engLitim, Daniel F.Convergence and stability of the renormalisation groupParticle Physics - TheoryWithin the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for 3d scalar theories at criticality. Implications for other theories are discussed.Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for 3d scalar theories at criticality. Implications for other theories are discussed.Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for 3d scalar theories at criticality. Implications for other theories are discussed.Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for 3d scalar theories at criticality. Implications for other theories are discussed.Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for 3d scalar theories at criticality. Implications for other theories are discussed.Within the exact renormalisation group approach, it is shown that stability properties of the flow are controlled by the choice for the regulator. Equally, the convergence of the flow is enhanced for specific optimised choices for the regularisation. As an illustration, we exemplify our reasoning for $3d$ scalar theories at criticality. Implications for other theories are discussed.hep-th/0208117CERN-TH-2002-197CERN-TH-2002-197oai:cds.cern.ch:5768242002-08-16 |
| spellingShingle | Particle Physics - Theory Litim, Daniel F. Convergence and stability of the renormalisation group |
| title | Convergence and stability of the renormalisation group |
| title_full | Convergence and stability of the renormalisation group |
| title_fullStr | Convergence and stability of the renormalisation group |
| title_full_unstemmed | Convergence and stability of the renormalisation group |
| title_short | Convergence and stability of the renormalisation group |
| title_sort | convergence and stability of the renormalisation group |
| topic | Particle Physics - Theory |
| url | http://cds.cern.ch/record/576824 |
| work_keys_str_mv | AT litimdanielf convergenceandstabilityoftherenormalisationgroup |