Mayer expansion of the Nekrasov prepotential: The subleading ε2-order
The Mayer cluster expansion technique is applied to the Nekrasov instanton partition function of N=2 SU(Nc) super Yang–Mills. The subleading small ε2-correction to the Nekrasov–Shatashvili limiting value of the prepotential is determined by a detailed analysis of all the one-loop diagrams. Indeed, s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2016-05-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316001085 |
| _version_ | 1818254956598132736 |
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| author | Jean-Emile Bourgine Davide Fioravanti |
| author_facet | Jean-Emile Bourgine Davide Fioravanti |
| author_sort | Jean-Emile Bourgine |
| collection | DOAJ |
| description | The Mayer cluster expansion technique is applied to the Nekrasov instanton partition function of N=2 SU(Nc) super Yang–Mills. The subleading small ε2-correction to the Nekrasov–Shatashvili limiting value of the prepotential is determined by a detailed analysis of all the one-loop diagrams. Indeed, several types of contributions can be distinguished according to their origin: long range interaction or potential expansion, clusters self-energy, internal structure, one-loop cyclic diagrams, etc. The field theory result derived more efficiently in [1], under some minor technical assumptions, receives here definite confirmation thanks to several remarkable cancellations: in this way, we may infer the validity of these assumptions for further computations in the field theoretical approach. |
| first_indexed | 2024-12-12T17:04:12Z |
| format | Article |
| id | doaj.art-bdf41fdd63aa43ce89935e2ab329b769 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-12T17:04:12Z |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-bdf41fdd63aa43ce89935e2ab329b7692022-12-22T00:18:03ZengElsevierNuclear Physics B0550-32131873-15622016-05-01906C40844010.1016/j.nuclphysb.2016.03.017Mayer expansion of the Nekrasov prepotential: The subleading ε2-orderJean-Emile BourgineDavide FioravantiThe Mayer cluster expansion technique is applied to the Nekrasov instanton partition function of N=2 SU(Nc) super Yang–Mills. The subleading small ε2-correction to the Nekrasov–Shatashvili limiting value of the prepotential is determined by a detailed analysis of all the one-loop diagrams. Indeed, several types of contributions can be distinguished according to their origin: long range interaction or potential expansion, clusters self-energy, internal structure, one-loop cyclic diagrams, etc. The field theory result derived more efficiently in [1], under some minor technical assumptions, receives here definite confirmation thanks to several remarkable cancellations: in this way, we may infer the validity of these assumptions for further computations in the field theoretical approach.http://www.sciencedirect.com/science/article/pii/S0550321316001085 |
| spellingShingle | Jean-Emile Bourgine Davide Fioravanti Mayer expansion of the Nekrasov prepotential: The subleading ε2-order Nuclear Physics B |
| title | Mayer expansion of the Nekrasov prepotential: The subleading ε2-order |
| title_full | Mayer expansion of the Nekrasov prepotential: The subleading ε2-order |
| title_fullStr | Mayer expansion of the Nekrasov prepotential: The subleading ε2-order |
| title_full_unstemmed | Mayer expansion of the Nekrasov prepotential: The subleading ε2-order |
| title_short | Mayer expansion of the Nekrasov prepotential: The subleading ε2-order |
| title_sort | mayer expansion of the nekrasov prepotential the subleading ε2 order |
| url | http://www.sciencedirect.com/science/article/pii/S0550321316001085 |
| work_keys_str_mv | AT jeanemilebourgine mayerexpansionofthenekrasovprepotentialthesubleadinge2order AT davidefioravanti mayerexpansionofthenekrasovprepotentialthesubleadinge2order |