The European Physical Journal C ( IF 4.4 ) Pub Date : 2021-04-09 , DOI: 10.1140/epjc/s10052-021-09106-8 A. R. P. Moreira , J. E. G. Silva , C. A. S. Almeida
We 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 \(f_1(T,B)=T+k_1B^{n_1}\) and \(f_2(T,B)=B+k_2T^{n_2}\), where \(n_{1,2}\) and \(k_{1,2}\) 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 \(n_{1,2}\) and \(k_{1,2}\) 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.
中文翻译:
Braneworld Teleparallel f(T,B)引力中的费米子定位
我们在远平行f(T, B)引力的背景下研究了一个厚膜世界中自旋1/2费米子。这里,f(T, B)使得\(f_1(T,B)= T + k_1B ^ {n_1} \)和\(f_2(T,B)= B + k_2T ^ {n_2} \),其中\(n_ {1,2} \)和\(k_ {1,2} \)是控制扭转和边界项影响的参数。我们假设汤川耦合,其中一个标量场耦合到狄拉克旋子场。我们展示\(n_ {1,2} \)和\(k_ {1,2} \) 参数控制无质量Kaluza-Klein模式的宽度,非标准化块状费米离子模式的宽度以及原点附近的模拟量子势的性质。