• Corpus ID: 16238234

Hopf Algebraic Structures in the Cutting Rules

@article{Zhang2004HopfAS,
  title={Hopf Algebraic Structures in the Cutting Rules},
  author={Yong Zhang},
  journal={arXiv: High Energy Physics - Theory},
  year={2004}
}
  • Yong Zhang
  • Published 5 August 2004
  • Mathematics
  • arXiv: High Energy Physics - Theory
Since the Connes--Kreimer Hopf algebra was proposed, revisiting present quantum field theory has become meaningful and important from algebraic points. In this paper, the Hopf algebra in the cutting rules is constructed. Its coproduct contains all necessary ingredients for the cutting equation crucial to proving perturbative unitarity of the S-matrix. Its antipode is compatible with the causality principle. It is obtained by reducing the Hopf algebra in the largest time equation which reflects… 
1 Citations

Hopf Algebraic Structures in Proving Perturbative Unitarity

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