Catastrophe theoretic approach to the Higgs Mechanism
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911767156752384 |
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| author | Jain, Samyak Bhagwat, Ameeya |
| author_facet | Jain, Samyak Bhagwat, Ameeya |
| contents | A geometric perspective of the Higgs Mechanism is presented. Using Thom's Catastrophe Theory, we study the emergence of the Higgs Mechanism as a discontinuous feature in a general family of Lagrangians obtained by varying its parameters. We show that the Lagrangian that exhibits the Higgs Mechanism arises as a first-order phase transition in this general family. We find that the Higgs Mechanism (as well as Spontaneous Symmetry Breaking) need not occur for a different choice of parameters of the Lagrangian, and further analysis of these unconventional parameter choices may yield interesting implications for beyond standard model physics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_12042 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Catastrophe theoretic approach to the Higgs Mechanism Jain, Samyak Bhagwat, Ameeya High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics Algebraic Topology Dynamical Systems A geometric perspective of the Higgs Mechanism is presented. Using Thom's Catastrophe Theory, we study the emergence of the Higgs Mechanism as a discontinuous feature in a general family of Lagrangians obtained by varying its parameters. We show that the Lagrangian that exhibits the Higgs Mechanism arises as a first-order phase transition in this general family. We find that the Higgs Mechanism (as well as Spontaneous Symmetry Breaking) need not occur for a different choice of parameters of the Lagrangian, and further analysis of these unconventional parameter choices may yield interesting implications for beyond standard model physics. |
| title | Catastrophe theoretic approach to the Higgs Mechanism |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Mathematical Physics Algebraic Topology Dynamical Systems |
| url | https://arxiv.org/abs/2307.12042 |