Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations
Abstract We calculate the one-, two- and three-particle energy levels for different lattice volumes in the complex $$\varphi ^4$$ φ4 theory on the lattice. We argue that the exponentially suppressed finite-volume corrections for the two- and three-particle energy shifts can be reduced significantly...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6325-8 |
| _version_ | 1818941190883508224 |
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| author | F. Romero-López A. Rusetsky C. Urbach |
| author_facet | F. Romero-López A. Rusetsky C. Urbach |
| author_sort | F. Romero-López |
| collection | DOAJ |
| description | Abstract We calculate the one-, two- and three-particle energy levels for different lattice volumes in the complex $$\varphi ^4$$ φ4 theory on the lattice. We argue that the exponentially suppressed finite-volume corrections for the two- and three-particle energy shifts can be reduced significantly by using the single particle mass, which includes the finite-size effects. We show numerically that, for a set of bare parameters, corresponding to the weak repulsive interaction, one can reliably extract the two- and three-particle energy shifts. From those, we extract the scattering length, the effective range and the effective three-body coupling. We show that the parameters, extracted from the two- and three-particle energy shifts, are consistent. Moreover, the effective three-body coupling is significantly different from zero. |
| first_indexed | 2024-12-20T06:51:36Z |
| format | Article |
| id | doaj.art-625f964f094e4e759871c6d9fdbb9c11 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-20T06:51:36Z |
| publishDate | 2018-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-625f964f094e4e759871c6d9fdbb9c112022-12-21T19:49:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-10-01781011510.1140/epjc/s10052-018-6325-8Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulationsF. Romero-López0A. Rusetsky1C. Urbach2IFIC, CSIC-Universitat de ValènciaHISKP and BCTP, Rheinische Friedrich-Wilhelms Universität BonnHISKP and BCTP, Rheinische Friedrich-Wilhelms Universität BonnAbstract We calculate the one-, two- and three-particle energy levels for different lattice volumes in the complex $$\varphi ^4$$ φ4 theory on the lattice. We argue that the exponentially suppressed finite-volume corrections for the two- and three-particle energy shifts can be reduced significantly by using the single particle mass, which includes the finite-size effects. We show numerically that, for a set of bare parameters, corresponding to the weak repulsive interaction, one can reliably extract the two- and three-particle energy shifts. From those, we extract the scattering length, the effective range and the effective three-body coupling. We show that the parameters, extracted from the two- and three-particle energy shifts, are consistent. Moreover, the effective three-body coupling is significantly different from zero.http://link.springer.com/article/10.1140/epjc/s10052-018-6325-8 |
| spellingShingle | F. Romero-López A. Rusetsky C. Urbach Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations European Physical Journal C: Particles and Fields |
| title | Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations |
| title_full | Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations |
| title_fullStr | Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations |
| title_full_unstemmed | Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations |
| title_short | Two- and three-body interactions in $$\varphi ^4$$ φ4 theory from lattice simulations |
| title_sort | two and three body interactions in varphi 4 φ4 theory from lattice simulations |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6325-8 |
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