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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Some Exact Results in QCD-like Theories
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.
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.
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.
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