2006/03/31 by Tadafumi Ohsaku 路 5 citations
Mathematics 路 Physics and Astronomy 路 #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Commutative property #Effective action #Mass gap #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle physics #Physics #Pure mathematics #Superspace #Supersymmetry #Supersymmetry breaking #Theoretical physics #astro-ph #hep-ph #hep-th #math-ph #math.MP
paper 路 pdf 路 doi:10.1088/1126-6708/2008/02/021
published in Journal of High Energy Physics 2008(02), 021 (Springer Nature) 路 16 pages, TeX mistakes corrected, accepted for publication in JHEP, 25 Jan. 2008
arxiv created 2008/01/31 路 openalex publication_date 2008/02/08 路 arxiv updated 2009/12/01 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/08/05
We construct the Lagrangian of the \cal N=1 four-dimensional generalized supersymmetric Nambu-Jona-Lasinio (SNJL) model, which has \cal N=1/2 supersymmetry (SUSY) on non(anti)commutative superspace. A special attention is paid to the examination on the nonperturbative quantum dynamics: The phenomenon of dynamical-symmetry-breaking/mass-generation on the deformed superspace is investigated. The model Lagrangian and the method of SUSY auxiliary fields of composites are examined in terms of component fields. We derive the effective action, examine it, and solve the gap equation for self-consistent mass parameters.