Green's matrix for a second-order self-adjoint matrix differential operator

  title={Green's matrix for a second-order self-adjoint matrix differential operator},
  author={Tahsin Cagri Sisman and Bayram Tekin},
  journal={Journal of Physics A: Mathematical and Theoretical},
A systematic construction of the Green's matrix for a second-order self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out. We follow the general approach of extracting the Green's matrix from the Green's matrix of the corresponding first-order system. This construction is required in the cases where the differential equation set cannot be turned to an algebraic equation set via transform… 



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  • BaackeDaiber
  • Mathematics
    Physical review. D, Particles and fields
  • 1995
We present an evaluation of the fluctuation determinant which appears as a prefactor in the instanton transition rate for the two-dimensional Abelian Higgs model. The corrections are found to change