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Some Exact Results in QCD-like Theories
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abstract
I propose a controlled approximation to QCD-like theories with massless quarks by employing supersymmetric QCD perturbed by anomaly-mediated supersymmetry breaking. They have identical massless particle contents. Thanks to the ultraviolet-insensitivity of anomaly mediation, dynamics can be worked out exactly when $m \ll \Lambda$, where $m$ is the size of supersymmetry breaking and $\Lambda$ the dynamical scale of the gauge theory. I demonstrate that chiral symmetry is dynamically broken for $N_{f} \leq \frac{3}{2} N_{c}$ while the theories lead to non-trivial infrared fixed points for larger number of flavors. While there may be a phase transition as $m$ is increased beyond $\Lambda$, qualitative agreements with expectations in QCD are encouraging and suggest that two limits $m \ll \Lambda$ and $m \gg \Lambda$ may be in the same universality class.
Forward citations
Cited by 10 Pith papers
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A High-Quality Axion from Exact SUSY Chiral Dynamics
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Novel Phases of a Baryon-Dense QCD-like Theory
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Dynamical Up-quark Mass Generation in QCD-like theories
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Holographic Energy Correlators for Soft Walls
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AMSB in Truly Confining Gauge Theories
Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).
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Confining pseudoreal gauge theories leave free massless spin-1 composites in the IR—one for almost all one-species models, two plus an NGB for the only confining two-species model.
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Phase Transitions at Unusual Values of $\theta$
Using Seiberg-Witten theory plus anomaly mediation, the authors find first-order phase transitions in the theta-dependent vacuum energy at theta = pi (N_F=0), 0 and pi (N_F=1), pi/2 and 3pi/2 (N_F=2), and pi/4, 3pi/4,...
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To Break or Not to Break: A Review of a No-Go Theorem on Chiral Symmetry Breaking in QCD-like Theories
A review showing that if a QCD-like theory with enough massless flavors is fully color-screened in the infrared, then chiral symmetry must be spontaneously broken.
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