Variational method in relativistic quantum field theory without cutoff

@article{Tilloy2021VariationalMI,
  title={Variational method in relativistic quantum field theory without cutoff},
  author={Antoine Tilloy},
  journal={Physical Review D},
  year={2021}
}
  • A. Tilloy
  • Published 15 February 2021
  • Physics
  • Physical Review D
The variational method is a powerful approach to solve many-body quantum problems non perturbatively. However, in the context of relativistic quantum field theory (QFT), it needs to meet 3 seemingly incompatible requirements outlined by Feynman: extensivity, computability, and lack of UV sensitivity. In practice, variational methods break one of the 3, which translates into the need to have an IR or UV cutoff. In this letter, I introduce a relativistic modification of continuous matrix product… 
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Relativistic continuous matrix product states for quantum fields without cutoff

I introduce a modification of continuous matrix product states (CMPS) that makes them adapted to relativistic quantum field theories (QFT). These relativistic CMPS can be used to solve genuine 1+1…

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