Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group †
We work with a symmetric scalar theory with quartic coupling in 4-dimensions. Using a 2PI effective theory and working at 4 loop order, we renormalize with a renormalization group method. All divergences are absorbed by one bare coupling constant and one bare mass which are introduced at the level o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Universe |
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| Online Access: | http://www.mdpi.com/2218-1997/5/1/9 |
| _version_ | 1798040110811316224 |
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| author | Margaret E. Carrington Christopher D. Phillips |
| author_facet | Margaret E. Carrington Christopher D. Phillips |
| author_sort | Margaret E. Carrington |
| collection | DOAJ |
| description | We work with a symmetric scalar theory with quartic coupling in 4-dimensions. Using a 2PI effective theory and working at 4 loop order, we renormalize with a renormalization group method. All divergences are absorbed by one bare coupling constant and one bare mass which are introduced at the level of the Lagrangian. The method is much simpler than counterterm renormalization, and can be generalized to higher order nPI effective theories. |
| first_indexed | 2024-04-11T22:03:00Z |
| format | Article |
| id | doaj.art-3222c8868a904797a081122d7b24ae48 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-11T22:03:00Z |
| publishDate | 2019-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-3222c8868a904797a081122d7b24ae482022-12-22T04:00:51ZengMDPI AGUniverse2218-19972019-01-0151910.3390/universe5010009universe5010009Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group †Margaret E. Carrington0Christopher D. Phillips1Department of Physics, Brandon University, Brandon, MB R7A 6A9, CanadaDepartment of Physics, Brandon University, Brandon, MB R7A 6A9, CanadaWe work with a symmetric scalar theory with quartic coupling in 4-dimensions. Using a 2PI effective theory and working at 4 loop order, we renormalize with a renormalization group method. All divergences are absorbed by one bare coupling constant and one bare mass which are introduced at the level of the Lagrangian. The method is much simpler than counterterm renormalization, and can be generalized to higher order nPI effective theories.http://www.mdpi.com/2218-1997/5/1/9n/a |
| spellingShingle | Margaret E. Carrington Christopher D. Phillips Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group † Universe n/a |
| title | Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group † |
| title_full | Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group † |
| title_fullStr | Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group † |
| title_full_unstemmed | Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group † |
| title_short | Four Loop Scalar ϕ4 Theory Using the Functional Renormalization Group † |
| title_sort | four loop scalar ϕ4 theory using the functional renormalization group † |
| topic | n/a |
| url | http://www.mdpi.com/2218-1997/5/1/9 |
| work_keys_str_mv | AT margaretecarrington fourloopscalarph4theoryusingthefunctionalrenormalizationgroup AT christopherdphillips fourloopscalarph4theoryusingthefunctionalrenormalizationgroup |