Analytic resurgence in the O(4) model
Abstract We study the perturbative expansion of the ground state energy in the presence of an external field coupled to a conserved charge in the integrable two-dimensional O(4) nonlinear sigma model. By solving Volin’s algebraic equations for the perturbative coefficients we study the large order a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2022)043 |
| _version_ | 1827985397769043968 |
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| author | Zoltán Bajnok János Balog István Vona |
| author_facet | Zoltán Bajnok János Balog István Vona |
| author_sort | Zoltán Bajnok |
| collection | DOAJ |
| description | Abstract We study the perturbative expansion of the ground state energy in the presence of an external field coupled to a conserved charge in the integrable two-dimensional O(4) nonlinear sigma model. By solving Volin’s algebraic equations for the perturbative coefficients we study the large order asymptotic behaviour of the perturbative series analytically. We confirm the previously numerically found leading behaviour and study the nearest singularities of the Borel transformed series and the associated alien derivatives. We find a “resurgence” behaviour: the leading alien derivatives can be expressed in terms of the original perturbative series. A simplified ‘toy’ model is also considered: here the perturbative series can be found in a closed form and the resurgence properties are very similar to that found in the real problem. |
| first_indexed | 2024-04-09T23:14:15Z |
| format | Article |
| id | doaj.art-86f508a113f64c59ac759959cb10e0fd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:14:15Z |
| publishDate | 2022-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-86f508a113f64c59ac759959cb10e0fd2023-03-22T10:10:14ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022413610.1007/JHEP04(2022)043Analytic resurgence in the O(4) modelZoltán Bajnok0János Balog1István Vona2Holographic QFT Group, Institute for Particle and Nuclear Physics, Wigner Research Centre for PhysicsHolographic QFT Group, Institute for Particle and Nuclear Physics, Wigner Research Centre for PhysicsHolographic QFT Group, Institute for Particle and Nuclear Physics, Wigner Research Centre for PhysicsAbstract We study the perturbative expansion of the ground state energy in the presence of an external field coupled to a conserved charge in the integrable two-dimensional O(4) nonlinear sigma model. By solving Volin’s algebraic equations for the perturbative coefficients we study the large order asymptotic behaviour of the perturbative series analytically. We confirm the previously numerically found leading behaviour and study the nearest singularities of the Borel transformed series and the associated alien derivatives. We find a “resurgence” behaviour: the leading alien derivatives can be expressed in terms of the original perturbative series. A simplified ‘toy’ model is also considered: here the perturbative series can be found in a closed form and the resurgence properties are very similar to that found in the real problem.https://doi.org/10.1007/JHEP04(2022)043Integrable Field TheoriesRenormalization Regularization and RenormalonsSigma Models |
| spellingShingle | Zoltán Bajnok János Balog István Vona Analytic resurgence in the O(4) model Journal of High Energy Physics Integrable Field Theories Renormalization Regularization and Renormalons Sigma Models |
| title | Analytic resurgence in the O(4) model |
| title_full | Analytic resurgence in the O(4) model |
| title_fullStr | Analytic resurgence in the O(4) model |
| title_full_unstemmed | Analytic resurgence in the O(4) model |
| title_short | Analytic resurgence in the O(4) model |
| title_sort | analytic resurgence in the o 4 model |
| topic | Integrable Field Theories Renormalization Regularization and Renormalons Sigma Models |
| url | https://doi.org/10.1007/JHEP04(2022)043 |
| work_keys_str_mv | AT zoltanbajnok analyticresurgenceintheo4model AT janosbalog analyticresurgenceintheo4model AT istvanvona analyticresurgenceintheo4model |