Anomalous mass dimensions and Schwinger–Dyson equations boundary condition
| Autor: | Adriano Antonio Natale, A. Doff |
|---|---|
| Přispěvatelé: | DAFIS, Universidade Estadual Paulista (Unesp) |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Nuclear and High Energy Physics 010308 nuclear & particles physics High Energy Physics::Lattice High Energy Physics - Lattice (hep-lat) Scalar (mathematics) FOS: Physical sciences Fermion 01 natural sciences lcsh:QC1-999 High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) High Energy Physics - Lattice Simple (abstract algebra) Critical line Quantum electrodynamics 0103 physical sciences Gauge theory Boundary value problem 010306 general physics lcsh:Physics Boson Mathematical physics |
| Zdroj: | Scopus Repositório Institucional da UNESP Universidade Estadual Paulista (UNESP) instacron:UNESP Physics Letters Physics Letters B, Vol 771, Iss, Pp 392-395 (2017) |
| Popis: | Theories with large mass anomalous dimensions ($\gamma_m$) have been extensively studied because of their deep consequences for models where the scalar bosons are composite. Large $\gamma_m$ 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 $\gamma_m$ can be directly read out from the IR and UV boundary conditions derived from the gap equation, and verify that moderate $\gamma_m$ values appear when the theory possess a large number of fermions, but large $\gamma_m$ 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. Comment: 11 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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