AbstractWe study a spin 1/2 fermion in a thick braneworld in the context of teleparallel f(T, B) gravity. Here, f(T, B) is such that $$f_1(T,B)=T+k_1B^{n_1}$$
f
1
(
T
,
B
)
=
T
+
k
1
B
n
1
and $$f_2(T,B)=B+k_2T^{n_2}$$
f
2
(
T
,
B
)
=
B
+
k
2
T
n
2
, where $$n_{1,2}$$
n
1
,
2
and $$k_{1,2}$$
k
1
,
2
are parameters that control the influence of torsion and the boundary term. We assume Yukawa coupling, where one scalar field is coupled to a Dirac spinor field. We show how the $$n_{1,2}$$
n
1
,
2
and $$k_{1,2}$$
k
1
,
2
parameters control the width of the massless Kaluza–Klein mode, the breadth of non-normalized massive fermionic modes and the properties of the analogue quantum-potential near the origin.
A Reference for the Covariant Hamiltonian Boundary Term
