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To , or not to : recent developments and comparisons of regularization schemes.

C Gnendiger1, A Signer1,2, D Stöckinger3

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This study introduces regularization schemes to manage singularities in quantum field theory calculations. It compares methods, highlighting their similarities and differences for higher-order computations.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory

Background:

  • Higher-order computations in quantum field theories often encounter ultraviolet (UV) and infrared (IR) singularities.
  • These singularities pose significant challenges in obtaining physically meaningful results.

Purpose of the Study:

  • To introduce and compare various regularization schemes designed to handle UV and IR singularities.
  • To elucidate the similarities and differences between these schemes in the context of quantum field theory calculations.

Main Methods:

  • Review and introduction of several established regularization schemes.
  • Comparative analysis of the computation of simple physical quantities using different schemes.

Main Results:

  • Demonstration of how different regularization schemes address UV and IR singularities.
  • Identification of commonalities and distinctions in the application and outcomes of these schemes.

Conclusions:

  • Regularization schemes are essential tools for managing infinities in quantum field theory.
  • Understanding the nuances of each scheme is crucial for accurate theoretical predictions.