nLab dimensional regularization

Idea

In perturbative quantum field theory, dimensional regularization is a method for renormalization. Here Feynman amplitudes are expressed via Schwinger parameters in worldline formalism making the resulting expression a function of spacetime dimension $d$ which may formally be set to any real number. Then one regularizes via taking the limit $d \to 4$.

References

Formulation in the rigorous context of causal perturbation theory/perturbative AQFT is due to

• Michael Dütsch, Klaus Fredenhagen, Kai Keller, Katarzyna Rejzner, Dimensional Regularization in Position Space, and a Forest Formula for Epstein-Glaser Renormalization, J. Math. Phy.

  55(12), 122303 (2014) (arXiv:1311.5424)

See also

• Wikipedia, Dimemensional regularization