Path integral treatment of pair creation by the step potential
In this paper, we use a formalism including supersymmetry to calculate the Green function for the spinning relativistic particle in the presence of the step potential. This is an example of one of simple but fundamental inhomogeneous fields. We obtain an explicit expression of the Polyakov spin fact...
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| Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2008-06, Vol.55 (3), p.499-507 |
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| container_end_page | 507 |
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| container_title | The European physical journal. C, Particles and fields |
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| creator | Rekioua, R. Guettou, B. Boudjedaa, T. |
| description | In this paper, we use a formalism including supersymmetry to calculate the Green function for the spinning relativistic particle in the presence of the step potential. This is an example of one of simple but fundamental inhomogeneous fields. We obtain an explicit expression of the Polyakov spin factor and the presence of the step gives rise to a correction of a delta potential in the spin–field coupling. The calculation is done using the perturbation technique. The corresponding positive- and negative-energy states are obtained. This Green function is used to evaluate a pair-creation probability in this potential. |
| doi_str_mv | 10.1140/epjc/s10052-008-0607-5 |
| format | Article |
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| subjects | Astronomy Astrophysics and Cosmology Elementary Particles Green's functions Hadrons Heavy Ions Mathematical analysis Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Perturbation methods Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics Relativistic particles String Theory Supersymmetry |
| title | Path integral treatment of pair creation by the step potential |
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