2008/01/08 by Tadafumi Ohsaku, Ohsaku, Tadafumi · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Mechanics and Non-Hermitian Physics #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #cond-mat.mes-hall #cond-mat.str-el #cond-mat.supr-con #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.0801.1256
8 pages, 10 figures, submitted for publication
openalex publication_date 2008/01/08 · arxiv created 2008/10/09 · arxiv updated 2016/09/08 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
The dynamical generation of Dirac mass in the supersymmetric Nambu-Jona-Lasinio (SNJL) model with the seesaw mechanism of neutrino is investigeted. The right and left handed Majorana mass parameters are introduced into the SNJL model; we regard them as external model parameters. The question on the origin of these Majorana masses are set aside, and we concentrate on the examination of the effect of the Majorana mass parameters on the dynamical generation of Dirac mass. The effective potential of the model and the gap equation for the self-consistent determination of Dirac mass are derived and solved. We use both the four-dimensional covariant and three-dimensional non-covariant cutoff schemes for the regularizations of the effective potential. We find there are cases of the first and second order phase transitions with respect to variation of the coupling constant of the Nambu-Jona-Lasinio-type four-body interaction of the SNJL model. In the case of second-order phase transition, the dynamically generated Dirac mass |ϕS| can arbitrarily be small compared with the right-handed Majorana mass parameter |M| and thus the seesaw condition 0<|ϕS|≪|M| can be satisfied by a fine tuning of the coupling constant, while at the first-order case it seems very difficult and/or "unnatural" to satisfy the condition. The numerical results do not depend on the difference of the cutoff schemes qualitatively.