An exact QED3+1 effective action

@article{Dunne1997AnEQ,
  title={An exact QED3+1 effective action},
  author={Gerald V. Dunne and Theodore M. Hall},
  journal={Physics Letters B},
  year={1997},
  volume={419},
  pages={322-325}
}
Abstract We compute the exact QED 3+1 effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. An asymptotic expansion of this exact effective action yields an all-orders derivative expansion, the first terms of which agree with independent derivative expansion computations. These results generalize analogous earlier results by Cangemi et al. in QED 2+1 . 
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References

SHOWING 1-8 OF 8 REFERENCES
An All-Orders Derivative Expansion
We evaluate the exact $QED_{2+1}$ effective action for fermions in the presence of a family of static but spatially inhomogeneous magnetic field profiles. This exact result yields an all-orders
Derivative expansion for the one-loop effective Lagrangian in QED
The derivative expansion of the one-loop effective Lagrangian in QED4 is considered. The first term in such an expansion is the famous Schwinger result for a constant electromagnetic field. In this
Derivative expansions in quantum electrodynamics.
  • Lee, Pac, Shin
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1989
A new method for calculating the covariant derivative expansions is presented, particularly in Abelian gauge theories, which can be used to find derivative expansions around nonvanishing gauge
On gauge invariance and vacuum polarization
This paper is based on the elementary remark that the extraction of gauge invariant results from a formally gauge invariant theory is ensured if one employs methods of solution that involve only
Effective Energy for QED 2 + 1 with Semilocalized Static Magnetic Field : A Solvable Model ”
  • Phys . Rev . D
  • 1995
Effective Energy for QED 2 + 1 with Semilocalized Static Magnetic Field : A Solvable Model ”
  • Phys . Rev . D
  • 1995
Effective Energy for QED 2+1 with Semi-localized Static Magnetic Field: A Solvable Model
  • Phys. Rev. D
  • 1995