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DIRICHLET TO NEUMANN OPERATOR FOR ABELIAN YANG-MILLS GAUGE FIELDS

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We consider the Dirichlet to Neumann operator for abelian YangMills boundary conditions. The aim is constructing a complex structure for the symplectic space of boundary conditions of Euler-Lagrange solutions modulo… Click to show full abstract

We consider the Dirichlet to Neumann operator for abelian YangMills boundary conditions. The aim is constructing a complex structure for the symplectic space of boundary conditions of Euler-Lagrange solutions modulo gauge for space-time manifolds with smooth boundary. Thus we prepare a suitable scenario for geometric quantization within the reduced symplectic space of boundary conditions of abelian gauge fields .

Keywords: neumann operator; gauge fields; boundary conditions; operator abelian; abelian yang; dirichlet neumann

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2017

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