Abstract
Chirality plays an important role in understanding the dynamics of quantum field theories. In this paper, we study the dynamics of models where renormalization group flows change the chiral structure of the theory. We introduce model building tools and construct models with a variety of chirality flows: from the appearance of new massless composite matter, to the development of mass gaps to completely general changes in the chiral matter content. The stability of chirally symmetric vacua is sensitive to the interplay between non-perturbative dynamics and deformations necessary to generate chirality flows. In particular, we show that chirality flows can be easily induced by deformations of s-confining models. On the other hand, in the absence of true s-confinement, the required deformations destabilize chirally symmetric ground states.
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Acknowledgments
We thank Saúl Ramos-Sánchez and Michael Ratz for many useful discussions. Y.S. is grateful to Technion and ICTP-SAIFR where parts of this work were completed. The work of S.S. and Y.S. was supported in part by the US National Foundation under grant PHY-2210283. The work of S.S. was supported in part by UC-MEXUS-CONACyT grant No. CN-20-38. M.W. was supported in part by the Israel Science Foundation (Grant No. 751/19), by the NSF-BSF (Grant No. 2020-785) and by a Zuckerman Fellowship.
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Shirman, Y., Shukla, S. & Waterbury, M. Chirality changing RG flows: dynamics and models. J. High Energ. Phys. 2023, 168 (2023). https://doi.org/10.1007/JHEP06(2023)168
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DOI: https://doi.org/10.1007/JHEP06(2023)168