Two-loop corrections to large order behavior of φ4 theory
We consider the large order behavior of the perturbative expansion of the scalar φ4 field theory in terms of a perturbative expansion around an instanton solution. We have computed the series of the free energy up to two-loop order in two and three dimension. Topologically there is only an additiona...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-09-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321317302328 |
| _version_ | 1818172993413578752 |
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| author | Enrico M. Malatesta Giorgio Parisi Tommaso Rizzo |
| author_facet | Enrico M. Malatesta Giorgio Parisi Tommaso Rizzo |
| author_sort | Enrico M. Malatesta |
| collection | DOAJ |
| description | We consider the large order behavior of the perturbative expansion of the scalar φ4 field theory in terms of a perturbative expansion around an instanton solution. We have computed the series of the free energy up to two-loop order in two and three dimension. Topologically there is only an additional Feynman diagram with respect to the previously known one dimensional case, but a careful treatment of renormalization is needed. The propagator and Feynman diagrams were expressed in a form suitable for numerical evaluation. We then obtained explicit expressions summing over O(103) distinct eigenvalues determined numerically with the corresponding eigenfunctions. |
| first_indexed | 2024-12-11T19:21:26Z |
| format | Article |
| id | doaj.art-dd08838dcd074e54b8302bdb25791563 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-11T19:21:26Z |
| publishDate | 2017-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-dd08838dcd074e54b8302bdb257915632022-12-22T00:53:30ZengElsevierNuclear Physics B0550-32131873-15622017-09-01922C29331810.1016/j.nuclphysb.2017.07.011Two-loop corrections to large order behavior of φ4 theoryEnrico M. Malatesta0Giorgio Parisi1Tommaso Rizzo2Università di Milano, Dip. di Fisica and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milan, ItalyDip. Fisica, Università “Sapienza”, Piazzale A. Moro 2, I-00185, Rome, ItalyDip. Fisica, Università “Sapienza”, Piazzale A. Moro 2, I-00185, Rome, ItalyWe consider the large order behavior of the perturbative expansion of the scalar φ4 field theory in terms of a perturbative expansion around an instanton solution. We have computed the series of the free energy up to two-loop order in two and three dimension. Topologically there is only an additional Feynman diagram with respect to the previously known one dimensional case, but a careful treatment of renormalization is needed. The propagator and Feynman diagrams were expressed in a form suitable for numerical evaluation. We then obtained explicit expressions summing over O(103) distinct eigenvalues determined numerically with the corresponding eigenfunctions.http://www.sciencedirect.com/science/article/pii/S0550321317302328 |
| spellingShingle | Enrico M. Malatesta Giorgio Parisi Tommaso Rizzo Two-loop corrections to large order behavior of φ4 theory Nuclear Physics B |
| title | Two-loop corrections to large order behavior of φ4 theory |
| title_full | Two-loop corrections to large order behavior of φ4 theory |
| title_fullStr | Two-loop corrections to large order behavior of φ4 theory |
| title_full_unstemmed | Two-loop corrections to large order behavior of φ4 theory |
| title_short | Two-loop corrections to large order behavior of φ4 theory |
| title_sort | two loop corrections to large order behavior of φ4 theory |
| url | http://www.sciencedirect.com/science/article/pii/S0550321317302328 |
| work_keys_str_mv | AT enricommalatesta twoloopcorrectionstolargeorderbehaviorofph4theory AT giorgioparisi twoloopcorrectionstolargeorderbehaviorofph4theory AT tommasorizzo twoloopcorrectionstolargeorderbehaviorofph4theory |