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Paper IPM / Physic / 8530  


Abstract:  
The interparticle potential of Quantum Electrodynamics
(QED) is calculated in the presence of a strong magnetic field in
the lowest Landau level (LLL) approximation using two different
methods. First, the vacuum expectation value of the corresponding
Wilson loop will be studied for large Euclidean time. The resulting
potential will then be compared with the potential arising from a
semiclassical Born approximation. It shows different behavior in
two regimes of dynamical mass, q_{}^{2} << m_{dyn.}^{2} << eB and m_{dyn.}^{2} << q_{}^{2} << eB, where q_{} is the
longitudinal components of the momentum relative to the external
magnetic field B. A novel dependence of the potential on the angle
θ between the particleantiparticle's axis and the direction
of the magnetic field is observed. We will show that in the first
regime q_{}^{2} << m_{dyn.}^{2} << eB for large
enough magnetic field, bound states can be formed for
θ ∈ ]0,π[.
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