nLab
dimensional regularization

Contents

Context

Algebraic Qunantum Field Theory

algebraic quantum field theory (perturbative, on curved spacetimes, homotopical)

Introduction

Concepts

field theory:

Lagrangian field theory

quantization

quantum mechanical system, quantum probability

free field quantization

gauge theories

interacting field quantization

renormalization

Theorems

States and observables

Operator algebra

Local QFT

Perturbative QFT

Contents

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 dd which may formally be set to any real number. Then one regularizes via taking the limit d4d \to 4.

References

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

See also

  • Wikipedia, Dimemensional regularization

Created on February 10, 2018 at 08:31:06. See the history of this page for a list of all contributions to it.