Quantum field theories on manifolds with curved boundaries: Scalar fields

@article{Mcavity1992QuantumFT,
  title={Quantum field theories on manifolds with curved boundaries: Scalar fields},
  author={David M. Mcavity and Hugh Osborn},
  journal={Nuclear Physics},
  year={1992},
  volume={394},
  pages={728-788}
}
Abstract A framework allowing for perturbative calculations to be carried out for quantum field theories with arbitrary smoothly curved boundaries is described. It is based on an expansion of the Green function for second-order differential operators valid in the neighbourhood of the boundary and which is obtained from a corresponding expansion of the associated heat kernel derived earlier for arbitrary mixed Dirichlet and Neumann boundary conditions. The first few leading terms in the… 
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  • Diehl, Ciach
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    Physical review. B, Condensed matter
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TLDR
It is proven beyond perturbation theory that a (redundant) surface operator exists that corresponds to a similar mixing in the leading even surface scaling field, and a fixed point with rv = iO(+c) is obtained, which describes the Yang-Lee edge singularities of an equivalent (d —1)dimensional bulk system with long-range interactions.
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