Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production
Particle production in integrable field theories may exist depending on the vacuum around which excitations are defined. To tackle this and analogous issues with conventional field theoretical tools, we consider the integrable λ-deformed model for SU(2) together with a timelike coordinate. We constr...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-02-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321323000251 |
| _version_ | 1797897321529212928 |
|---|---|
| author | George Georgiou Konstantinos Sfetsos |
| author_facet | George Georgiou Konstantinos Sfetsos |
| author_sort | George Georgiou |
| collection | DOAJ |
| description | Particle production in integrable field theories may exist depending on the vacuum around which excitations are defined. To tackle this and analogous issues with conventional field theoretical tools, we consider the integrable λ-deformed model for SU(2) together with a timelike coordinate. We construct the corresponding four-dimensional plane wave background (a deformation of the Nappi–Witten solution) keeping also post-plane wave corrections, as well as all the non-trivial λ-dependence. After imposing the classical light-cone gauge and the Virasoro constraints, we obtain an interacting field theory for the transverse physical modes which are massive. We explicitly demonstrate the absence of particle production to leading order in the large k-expansion. This is based crucially on the form of the interaction vertices and their dependence on the λ-deformation parameter. In addition, we compute the S-matrix for the two-particle elastic scattering exactly in λ and to leading order in the large k-expansion. Our method can be applied to any integrable theory with at least one isometry in order to check the classical integrability of the parent theory. |
| first_indexed | 2024-04-10T07:56:43Z |
| format | Article |
| id | doaj.art-b9ac623f2c954d13a301f49ddf880ef9 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-10T07:56:43Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-b9ac623f2c954d13a301f49ddf880ef92023-02-23T04:30:07ZengElsevierNuclear Physics B0550-32132023-02-01987116096Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle productionGeorge Georgiou0Konstantinos Sfetsos1Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece; Corresponding author.Department of Nuclear and Particle Physics, Faculty of Physics, National and Kapodistrian University of Athens, Athens 15784, Greece; Theoretical Physics Department, CERN, 1211 Geneva 23, SwitzerlandParticle production in integrable field theories may exist depending on the vacuum around which excitations are defined. To tackle this and analogous issues with conventional field theoretical tools, we consider the integrable λ-deformed model for SU(2) together with a timelike coordinate. We construct the corresponding four-dimensional plane wave background (a deformation of the Nappi–Witten solution) keeping also post-plane wave corrections, as well as all the non-trivial λ-dependence. After imposing the classical light-cone gauge and the Virasoro constraints, we obtain an interacting field theory for the transverse physical modes which are massive. We explicitly demonstrate the absence of particle production to leading order in the large k-expansion. This is based crucially on the form of the interaction vertices and their dependence on the λ-deformation parameter. In addition, we compute the S-matrix for the two-particle elastic scattering exactly in λ and to leading order in the large k-expansion. Our method can be applied to any integrable theory with at least one isometry in order to check the classical integrability of the parent theory.http://www.sciencedirect.com/science/article/pii/S0550321323000251 |
| spellingShingle | George Georgiou Konstantinos Sfetsos Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production Nuclear Physics B |
| title | Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production |
| title_full | Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production |
| title_fullStr | Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production |
| title_full_unstemmed | Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production |
| title_short | Scattering in integrable pp-wave backgrounds: S-matrix and absence of particle production |
| title_sort | scattering in integrable pp wave backgrounds s matrix and absence of particle production |
| url | http://www.sciencedirect.com/science/article/pii/S0550321323000251 |
| work_keys_str_mv | AT georgegeorgiou scatteringinintegrableppwavebackgroundssmatrixandabsenceofparticleproduction AT konstantinossfetsos scatteringinintegrableppwavebackgroundssmatrixandabsenceofparticleproduction |