| المؤلف | Al-Hashimi, M.H. |
| المؤلف | Shalaby, A.M. |
| المؤلف | Wiese, U.-J. |
| تاريخ الإتاحة | 2016-02-28T12:50:47Z |
| تاريخ النشر | 2014-06 |
| اسم المنشور | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| المصدر | Scopus |
| الاقتباس | Al-Hashimi, M.H., Shalaby, A.M., Wiese, U.-J., "Asymptotic freedom, dimensional transmutation, and an infrared conformal fixed point for the ? -function potential in one-dimensional relativistic quantum mechanics", (2014) Physical Review D - Particles, Fields, Gravitation and Cosmology, 89 (12), art. no. 125023 |
| الرقم المعياري الدولي للكتاب | 1550-7998 |
| معرّف المصادر الموحد | http://dx.doi.org/10.1103/PhysRevD.89.125023 |
| معرّف المصادر الموحد | http://hdl.handle.net/10576/4192 |
| الملخص | We consider the Schr?dinger equation for a relativistic point particle in an external one-dimensional ?-function potential. Using dimensional regularization, we investigate both bound and scattering states, and we obtain results that are consistent with the abstract mathematical theory of self-adjoint extensions of the pseudodifferential operator H=p2+m2. Interestingly, this relatively simple system is asymptotically free. In the massless limit, it undergoes dimensional transmutation and it possesses an infrared conformal fixed point. Thus it can be used to illustrate nontrivial concepts of quantum field theory in the simpler framework of relativistic quantum mechanics. |
| راعي المشروع | NPRP grant #NPRP 5 - 261-1-054 from the Qatar National Research Fund (a member of the Qatar Foundation). |
| اللغة | en |
| الناشر | American Physical Society |
| العنوان | Asymptotic freedom, dimensional transmutation, and an infrared conformal fixed point for the ? -function potential in one-dimensional relativistic quantum mechanics |
| النوع | Article |
| رقم العدد | 12 |
| رقم المجلد | 89 |
