1995/05/11 by Tomohiro Inagaki, T. Inagaki, S. Mukaigawa +1 · 24 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Coupling (piping) #Coupling constant #Curvature #De Sitter space #De Sitter universe #Fermion #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Space (punctuation) #Universe #hep-th
paper · pdf · doi:10.1103/physrevd.52.r4267
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 52(8), R4267-R4271 (American Physical Society) · 15 pages, uses LaTeX, here.sty(attached), eepic.sty
arxiv created 1995/05/11 · openalex publication_date 1995/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the theory of four-fermion interactions with N-component fermions in de Sitter space. It is found that the effective potential for a composite operator in the theory is calculable in the leading order of the 1/N expansion for arbitrary space-time dimensions less than four. The resulting effective potential is analyzed by varying both the four-fermion coupling constant and the curvature of the space-time. The critical curvature at which the dynamically generated fermion mass disappears is found to exist and is calculated analytically. The dynamical fermion mass is expressed as a function of the space-time curvature.