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BCFW recursion relation with nonzero boundary contribution

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Abstract

The appearance of BCFW on-shell recursion relation has deepen our understanding of quantum field theory, especially the one with gauge boson and graviton. To be able to write the BCFW recursion relation, the knowledge of boundary contributions is needed. So far, most applications have been constrained to the cases where the boundary contribution is zero. In this paper, we show that for some theories, although there is no proper deformation to annihilate the boundary contribution, its effects can be analyzed in simple way, thus we do able to write down the BCFW recursion relation with boundary contributions. The examples we will present in this paper include the λφ4 theory and Yukawa coupling between fermions and scalars.

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Authors and Affiliations

  1. Center of Mathematical Science, Zhejiang University, Hangzhou, China

    Bo Feng

  2. Physics Department, Zhejiang University, Hangzhou, China

    Junqi Wang & Yihong Wang

  3. Mathematics Department, Zhejiang University, Hangzhou, China

    Zhibai Zhang

Authors
  1. Bo Feng
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  2. Junqi Wang
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  3. Yihong Wang
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  4. Zhibai Zhang
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Correspondence to Bo Feng.

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ArXiv ePrint: 0911.0301

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Feng, B., Wang, J., Wang, Y. et al. BCFW recursion relation with nonzero boundary contribution. J. High Energ. Phys. 2010, 19 (2010). https://doi.org/10.1007/JHEP01(2010)019

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  • DOI: https://doi.org/10.1007/JHEP01(2010)019

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