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Some Exact Results in QCD-like Theories.

Hitoshi Murayama1

  • 1Department of Physics, University of California, Berkeley, California 94720, USA, Kavli Institute for the Physics and Mathematics of the Universe (WPI), University of Tokyo, Kashiwa 277-8583, Japan, and Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA.

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This study explores supersymmetric quantum chromodynamics (QCD) with massless quarks, finding chiral symmetry breaks for N_{f}≤3/2N_{c}. Larger flavor numbers lead to infrared fixed points, offering insights into QCD dynamics.

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Area of Science:

  • High Energy Physics
  • Quantum Field Theory
  • Supersymmetry

Background:

  • Quantum Chromodynamics (QCD) describes the strong force but is complex for analytical solutions.
  • Supersymmetric (SUSY) gauge theories offer a controlled approximation to QCD-like theories.
  • Anomaly-mediated supersymmetry breaking (AMSB) provides a specific mechanism for SUSY breaking.

Purpose of the Study:

  • To investigate QCD-like theories with massless quarks using a controlled approximation.
  • To explore the effects of anomaly-mediated supersymmetry breaking on chiral symmetry and infrared dynamics.
  • To compare the behavior of these supersymmetric models with predictions from standard QCD.

Main Methods:

  • Employing supersymmetric QCD (SQCD) with massless quarks.
  • Perturbing the theory with anomaly-mediated supersymmetry breaking (AMSB).
  • Analyzing the theory in the limit where the supersymmetry breaking scale (m) is much smaller than the dynamical scale (Λ).

Main Results:

  • Demonstrated dynamical breaking of chiral symmetry for N_{f}≤3/2N_{c}.
  • Identified nontrivial infrared fixed points for N_{f}>3/2N_{c}.
  • Showcased the ultraviolet insensitivity of AMSB, enabling exact dynamical calculations.

Conclusions:

  • The proposed controlled approximation provides valuable insights into QCD-like theories.
  • The findings suggest qualitative agreements with QCD expectations, particularly regarding chiral symmetry breaking and infrared behavior.
  • The study indicates that different regimes of supersymmetry breaking (m≪Λ and m≫Λ) might belong to the same universality class.