In 5D f(T, T_G) gravity, thick branes develop splitting and internal structure controlled by the coupling, while supporting a normalizable chiral fermion zero mode and modified resonant Kaluza-Klein states due to the torsional Gauss-Bonnet term.
Fermion Resonances on Multi-field Thick Branes
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
Motivated by the recent work on the fermion resonances on scalar-constructed thick branes (arXiv:0901.3543 and arXiv:0904.1785), we extend the idea to multi-scalar generated thick branes and complete previous work. The fermion localization and resonances on the three-field and two-field thick branes are investigated. With the Numerov method, our numerical results show that the resonance states also exist in the brane besides the single-field thick branes and the two-field thick branes in the former cases. This interesting phenomenon is related to the internal structure of the brane and the coupling of fermions and scalars. We find that the Kaluza-Klein chiral decomposition of massive fermion resonances is the parity-chiral decomposition. For the couplings $\eta\bar{\Psi}\phi^{k}\chi\rho\Psi$ and $\eta\bar{\Psi}\phi^{k}\chi\rho\Psi$ for three-field and two-field models with odd positive $k$, respectively, the number of the resonant states decreases with $k$. This result is opposite to the one obtained in the single-field de Sitter thick brane (arXiv:0904.1785).
fields
hep-th 3verdicts
UNVERDICTED 3representative citing papers
The Orthonormal Completeness Hypothesis implies universal interactions between KK modes in brane-world effective actions for U(1) gauge and fermion fields.
Perturbations induce KK mode mixing resolved by SVD of the Dirac mass matrix, with parity-odd operators preserving Z2 symmetry and parity-even operators breaking it to polarize wavefunctions toward the brane.
citing papers explorer
-
Thick branes and fermion localization in five-dimensional $f(T,T_G)$ gravity
In 5D f(T, T_G) gravity, thick branes develop splitting and internal structure controlled by the coupling, while supporting a normalizable chiral fermion zero mode and modified resonant Kaluza-Klein states due to the torsional Gauss-Bonnet term.
-
Interactions between different Kaluza-Klein modes in brane world
The Orthonormal Completeness Hypothesis implies universal interactions between KK modes in brane-world effective actions for U(1) gauge and fermion fields.
-
Fermionic Kaluza-Klein mode mixing in braneworlds
Perturbations induce KK mode mixing resolved by SVD of the Dirac mass matrix, with parity-odd operators preserving Z2 symmetry and parity-even operators breaking it to polarize wavefunctions toward the brane.