Consistency of the Born approximation for the spin-1/2 Aharonov-Bohm scattering

Download
2000-08-15
Boz, M
Pak, Namık Kemal
The relativistic scattering of a spin-1/2 particle from an infinitely long solenoid is considered in the framework of covariant perturbation theory. The first order term agrees with the corresponding term in the series expansion of the exact amplitude, and second order term vanishes, thus proving that the Born approximation is consistent.
PHYSICAL REVIEW D

Suggestions

Compatibility of the dimensional reduction and variation procedures for a quadratic curvature model with a Kaluza-Klein ansatz
Çelik, Sinan; Baykal, Zübeyde Sibel; Department of Physics (2021-9-02)
The Kaluza-Klein theory is investigated for a 5D quadratic curvature Lagrangian. In order to obtain the field equations in the actual 4D spacetime, there are two different approaches composed of two successive applications to be implemented to the 5D action. Either one applies the least action principle with respect to the 5D variables and then uses the dimensional reduction mechanism, or changes the order by first reducing the action and then takes the variations with respect to the constituent fields of t...
Non-Abelian gauge theories of the Yang-Mills type
Abuhatab, Ahmed; Başkal, Sibel; Department of Physics (2003)
In this thesis, starting from the effective Lagrangians of the standard Yang-Mills, higher derivative Yang-Mills and the Chern-Simons- Yang-Mills theories, we have given the corresponding field equations and the symmetric gauge invariant energy- momentum tensors. Lagrangians containing higher derivative terms have been found useful for discussing the long lange effects of the gluon fields. A numeri cal solution is found for a spherically symmetric static gauge potential. On the other hand, Chern-Simons- Yan...
Treatment of a relativistic particle in external electromagnetic field as a singular system
Farahat, NI; Guler, Y (1996-04-01)
A relativistic particle in external electromagnetic field is studied by the canonical method. Two examples are studied in detail.
Quantal description of instabilities in nuclear matter in a stochastic relativistic model
Yılmaz Tüzün, Özgül; Gokalp, A. (2011-10-01)
Spinodal instabilities and early development of density fluctuations are investigated in the stochastic extension of Walecka-type relativistic mean field including non-linear self-interactions of scalar mesons in the quantal framework. Calculations indicate that at low temperatures T = 0-2 MeV, the initial growth of density fluctuations and hence the initial condensation mechanism occur much faster in quantal calculations than those found in the semi-classical framework. However, at higher temperatures T = ...
Maxwell-Chem-Simons scalar electrodynamics at two loops
Tan, PN; Tekin, Bayram; Hosotani, Y (1997-09-29)
The Maxwell-Chem-Simons gauge theory with charged scalar fields is analyzed at two-loop level. The effective potential for the scalar fields is derived in the closed form, and studied both analytically and numerically, It is shown that the U(1) symmetry is spontaneously broken in the massless scalar theory, Dimensional transmutation takes place in the Coleman-Weinberg limit in which the Maxwell term vanishes. We point out the subtlety in defining the pure Chem-Simons scalar electrodynamics and show that the...
Citation Formats
M. Boz and N. K. Pak, “Consistency of the Born approximation for the spin-1/2 Aharonov-Bohm scattering,” PHYSICAL REVIEW D, pp. 0–45022, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62410.