| Autor: |
Zoltán Bajnok, János Balog, István Vona |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Journal of High Energy Physics, Vol 2022, Iss 4, Pp 1-36 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
1029-8479 |
| DOI: |
10.1007/JHEP04(2022)043 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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