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On the predictivity of the non-renormalizable quantum field theories

High Energy Physics - Phenomenology 2015-01-20 v3 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

Following a Four Dimensional Renormalization approach to ultraviolet divergences (FDR), we extend the concept of predictivity to non-renormalizable quantum field theories at arbitrarily large perturbative orders. The idea of topological renormalization is introduced, which keeps a finite value for the parameters of the theory by trading the usual order-by-order renormalization procedure for an order-by-order redefinition of the perturbative vacuum. One additional measurement is then sufficient to systematically compute quantum corrections at any loop order, with no need of absorbing ultraviolet infinities in the Lagrangian.

Keywords

Cite

@article{arxiv.1305.0419,
  title  = {On the predictivity of the non-renormalizable quantum field theories},
  author = {Roberto Pittau},
  journal= {arXiv preprint arXiv:1305.0419},
  year   = {2015}
}

Comments

Paper reorganized