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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Anomalous mass dimensions and Schwinger-Dyson equations boundary condition

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Author(s):
Doff, A. ; Natale, A. A.
Total Authors: 2
Document type: Journal article
Source: Physics Letters B; v. 771, p. 392-395, AUG 10 2017.
Web of Science Citations: 3
Abstract

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. (C) 2017 The Author(s). Published by Elsevier B.V. (AU)

FAPESP's process: 13/22079-8 - Physics of particles and fields: standard model and its extensions
Grantee:Adriano Antonio Natale
Support Opportunities: Research Projects - Thematic Grants