2012/01/31 by Mohsen Alishahiha, M. Reza Mohammadi Mozaffar, Ali Mollabashi · 45 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary (topology) #Boundary value problem #Condensed matter physics #Cosmology and Gravitation Theories #Exponent #Fermion #Function (biology) #Geometry #Green's function #Homogeneous space #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.86.026002
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(2) (American Physical Society) · 27 pages, 11 figures, V3: Refs. added, Charged fermions added. V4: Gauge field (in Sec. 4) corrected (with no change in results)
openalex publication_date 2012/07/03 · arxiv created 2012/08/22 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study a nonrelativistic fermionic retarded Green's function by making use of a fermion on the Lifshitz geometry with critical exponent z=2. With a natural boundary condition, respecting the symmetries of the model, the resultant retarded Green's function exhibits a number of interesting features including a flat band. We also study the finite temperature and finite chemical potential cases where the geometry is replaced by Lifshitz black hole solutions.