Possible scenario of dynamical chiral symmetry breaking in the instanton liquid

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Summary

Researchers investigated dynamical chiral symmetry breaking in the instanton liquid model, finding that the anomaly-driven breaking pattern occurs in the full calculation, while the ordinary breaking pattern occurs in the quenched calculation.

Highlights

• The instanton liquid model is a phenomenological model describing the QCD vacuum.
• The researchers calculated the free energy density as a function of the quark condensate.
• The curvature of the free energy density at the origin is positive in the full calculation.
• The anomaly-driven breaking pattern is realized in the full calculation.
• The ordinary breaking pattern is realized in the quenched calculation.
• The six-quark interaction, including the 't Hooft vertex, plays a crucial role in the anomaly-driven breaking.
• The results have implications for understanding chiral symmetry breaking in QCD.

Key Insights

• The instanton liquid model is a useful tool for studying the QCD vacuum and chiral symmetry breaking, as it incorporates the effects of instantons and quark interactions.
• The anomaly-driven breaking pattern is a new paradigm for understanding chiral symmetry breaking, where the six-quark interaction plays a crucial role in driving the symmetry breaking.
• The quenched calculation, which omits the quark determinant, is unable to capture the anomaly-driven breaking pattern, highlighting the importance of including quark interactions in the model.
• The positive curvature of the free energy density at the origin in the full calculation is a key indicator of the anomaly-driven breaking pattern.
• The results have implications for understanding the role of the 't Hooft vertex in driving chiral symmetry breaking in QCD.
• The study highlights the importance of considering the interplay between instantons and quark interactions in understanding the QCD vacuum and chiral symmetry breaking.
• The anomaly-driven breaking pattern may have implications for understanding the behavior of physical quantities, such as the sigma meson mass, in QCD.

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Citation

Suda, Y., & Jido, D. (2024). Possible scenario of dynamical chiral symmetry breaking in the instanton liquid (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.20737