2001/06/09 by Antonino Flachi, Ian G. Moss, Ian G Moss +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Brane #Brane cosmology #Cosmology and Gravitation Theories #Fermion #Fermionic field #Gauge theory #Geometry #Hierarchy problem #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Randall–Sundrum model #Scalar (mathematics) #Scalar field #Spacetime #Supersymmetry #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.64.105029
published as Phys.Rev.D64:105029,2001 · 25 pages, 1 figure, RevTeX
arxiv created 2001/06/09 · openalex publication_date 2001/10/29 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The lowest order quantum corrections to the effective action arising from quantized massive fermion fields in the Randall-Sundrum background spacetime are computed. The boundary conditions and their relation with gauge invariance are examined in detail. The possibility of Wilson loop symmetry breaking in brane models is also analyzed. The self-consistency requirements, previously considered in the case of a quantized bulk scalar field, are extended to include the contribution from massive fermions. It is shown that in this case it is possible to stabilize the radius of the extra dimensions but it is not possible to simultaneously solve the hierarchy problem, unless the brane tensions are dramatically fine-tuned, supporting previous claims.