Anomalous mass dimensions and Schwinger–Dyson equations boundary condition
Theories with large mass anomalous dimensions (γm) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large γm values may appear when a non-Abelian gauge theory has a large number of fermions or is affected by four-fermion interactions....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-08-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317304471 |
| _version_ | 1819064624427827200 |
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| author | A. Doff A.A. Natale |
| author_facet | A. Doff A.A. Natale |
| author_sort | A. Doff |
| collection | DOAJ |
| description | Theories with large mass anomalous dimensions (γm) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large γm values may appear when a non-Abelian gauge theory has a large number of fermions or is affected by four-fermion interactions. In this note we provide a simple explanation how γm can be directly read out from the IR and UV boundary conditions derived from the gap equation, and verify that moderate γm values appear when the theory possess a large number of fermions, but large γm values are obtained only when four-fermion interactions are added to the theory. We also verify how the critical line separating the different chiral phases emerge from these conditions. |
| first_indexed | 2024-12-21T15:33:32Z |
| format | Article |
| id | doaj.art-b9b98fefef2d472daa5d8bfa8de5bc24 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-21T15:33:32Z |
| publishDate | 2017-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-b9b98fefef2d472daa5d8bfa8de5bc242022-12-21T18:58:42ZengElsevierPhysics Letters B0370-26932017-08-01771392395Anomalous mass dimensions and Schwinger–Dyson equations boundary conditionA. Doff0A.A. Natale1Universidade Tecnológica Federal do Paraná – UTFPR, DAFIS, Av Monteiro Lobato Km 04, 84016-210, Ponta Grossa, PR, Brazil; Universidade Estadual Paulista (UNESP), Instituto de Física Teórica, Rua Dr. Bento T. Ferraz, 271, Bloco II, 01140-070, São Paulo, SP, BraziUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica, Rua Dr. Bento T. Ferraz, 271, Bloco II, 01140-070, São Paulo, SP, Brazi; Corresponding author.Theories with large mass anomalous dimensions (γm) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large γm values may appear when a non-Abelian gauge theory has a large number of fermions or is affected by four-fermion interactions. In this note we provide a simple explanation how γm can be directly read out from the IR and UV boundary conditions derived from the gap equation, and verify that moderate γm values appear when the theory possess a large number of fermions, but large γm values are obtained only when four-fermion interactions are added to the theory. We also verify how the critical line separating the different chiral phases emerge from these conditions.http://www.sciencedirect.com/science/article/pii/S0370269317304471 |
| spellingShingle | A. Doff A.A. Natale Anomalous mass dimensions and Schwinger–Dyson equations boundary condition Physics Letters B |
| title | Anomalous mass dimensions and Schwinger–Dyson equations boundary condition |
| title_full | Anomalous mass dimensions and Schwinger–Dyson equations boundary condition |
| title_fullStr | Anomalous mass dimensions and Schwinger–Dyson equations boundary condition |
| title_full_unstemmed | Anomalous mass dimensions and Schwinger–Dyson equations boundary condition |
| title_short | Anomalous mass dimensions and Schwinger–Dyson equations boundary condition |
| title_sort | anomalous mass dimensions and schwinger dyson equations boundary condition |
| url | http://www.sciencedirect.com/science/article/pii/S0370269317304471 |
| work_keys_str_mv | AT adoff anomalousmassdimensionsandschwingerdysonequationsboundarycondition AT aanatale anomalousmassdimensionsandschwingerdysonequationsboundarycondition |