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Paper   IPM / Physic / 8530
School of Physics
  Title:   A New Look at the Modified Coulomb Potential in A Strong Magnetic Field
  Author(s): 
1.  N. Sadooghi
2.  A. Sodeiri Jalili
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  76
  Year:  2007
  Pages:   065013
  Supported by:  IPM
  Abstract:
The inter-particle 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 semi-classical Born approximation. It shows different behavior in two regimes of dynamical mass, |q||2| << mdyn.2 << |eB| and mdyn.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 particle-antiparticle's axis and the direction of the magnetic field is observed. We will show that in the first regime |q||2| << mdyn.2 << |eB| for large enough magnetic field, bound states can be formed for θ ∈ ]0,π[.

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