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Exact adler function in supersymmetric QCD.

M Shifman1, K Stepanyantz2

  • 1William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA.

Physical Review Letters
|February 21, 2015
PubMed
Summary
This summary is machine-generated.

Researchers derived an exact formula for the Adler function D in supersymmetric quantum chromodynamics (QCD). This formula connects D to the anomalous dimension of matter superfields, proving the absence of singlet contributions to D.

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Area of Science:

  • High-energy physics
  • Quantum field theory
  • Supersymmetric quantum chromodynamics (QCD)

Background:

  • The Adler function is a key quantity in quantum chromodynamics.
  • Understanding its behavior in supersymmetric theories is crucial for theoretical advancements.
  • Previous calculations were limited in scope or precision.

Purpose of the Study:

  • To derive an exact formula for the Adler function D in supersymmetric QCD.
  • To establish a relationship between D and the anomalous dimension of matter superfields.
  • To investigate and prove the absence of singlet contributions to D.

Main Methods:

  • Utilizing techniques from supersymmetric quantum field theory.
  • Performing exact calculations within the framework of supersymmetric QCD.
  • Analyzing supergraph contributions to identify cancellations.

Main Results:

  • An exact formula for the Adler function D(Q^2) in supersymmetric QCD was obtained.
  • The formula explicitly relates D to the anomalous dimension γ(α(s)(Q^2)) of matter superfields.
  • A theorem proving the absence of singlet contributions to D was established.

Conclusions:

  • The derived exact formula provides a significant theoretical tool for supersymmetric QCD.
  • The cancellation of singlet contributions simplifies the structure of the Adler function.
  • This work advances the understanding of non-perturbative effects in supersymmetric gauge theories.