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The pinch technique at two loops

Papavassiliou1

  • 1Departamento de Fisica Teorica, Universidad Valencia, E-46100 Burjassot (Valencia), Spain.

Physical Review Letters
|October 6, 2000
PubMed
Summary

The pinch technique algorithm is generalized to two loops, ensuring fundamental properties like gauge independence and unitarity are maintained. This advancement offers a more robust framework for theoretical physics calculations.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory

Background:

  • The pinch technique is a crucial algorithm in quantum field theory for simplifying calculations.
  • Generalizing the pinch technique to higher loop orders is essential for tackling complex physical phenomena.

Purpose of the Study:

  • To generalize the pinch technique algorithm to two-loop calculations.
  • To demonstrate that fundamental properties ensure an unambiguous generalization.

Main Methods:

  • Investigating the implications of gauge independence.
  • Applying principles of gauge invariance.
  • Utilizing unitarity and analyticity of the S matrix.

Main Results:

  • The pinch technique algorithm is unambiguously generalized to two loops.
  • Fundamental properties (gauge independence, gauge invariance, unitarity, analyticity) are shown to be key to this generalization.

Conclusions:

  • The generalization of the pinch technique to two loops is robust and well-defined.
  • This provides a powerful tool for advanced theoretical physics research.

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