Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912752796172288 |
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| author | Li, Hao-Lin Pastor-Gutiérrez, Álvaro Vatani, Shahram Xu, Ling-Xiao |
| author_facet | Li, Hao-Lin Pastor-Gutiérrez, Álvaro Vatani, Shahram Xu, Ling-Xiao |
| contents | We investigate dynamical symmetry breaking in a class of chiral gauge theories containing the Georgi-Glashow model. These theories feature a gauge sector and two fermion species that transform in the two-index antisymmetric and antifundamental representations with different multiplicities. Using the effective action formalism and the functional renormalization group, we derive the flow of four-fermion interactions that encode their resonant structure and information about bound-state formation. Generalizing the theories to multiple generations, we make contact with the loss of asymptotic freedom and dissect the boundary of a conjectured conformal window. Our results show that, while most of the theory space displays a dominant color-breaking condensate, there exists a strongly coupled regime where the lowest-laying mechanisms fail and more intricate dynamics are expected to arise. This analysis provides a first step toward the infrared behavior of chiral gauge theories with functional methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21208 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories Li, Hao-Lin Pastor-Gutiérrez, Álvaro Vatani, Shahram Xu, Ling-Xiao High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology We investigate dynamical symmetry breaking in a class of chiral gauge theories containing the Georgi-Glashow model. These theories feature a gauge sector and two fermion species that transform in the two-index antisymmetric and antifundamental representations with different multiplicities. Using the effective action formalism and the functional renormalization group, we derive the flow of four-fermion interactions that encode their resonant structure and information about bound-state formation. Generalizing the theories to multiple generations, we make contact with the loss of asymptotic freedom and dissect the boundary of a conjectured conformal window. Our results show that, while most of the theory space displays a dominant color-breaking condensate, there exists a strongly coupled regime where the lowest-laying mechanisms fail and more intricate dynamics are expected to arise. This analysis provides a first step toward the infrared behavior of chiral gauge theories with functional methods. |
| title | Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.21208 |