Higher-Order Fermion Interactions in Effective Field Theories for Phase Transitions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918392667045888 |
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| author | Rodriguez-Gomez, Diego Russo, Jorge G. |
| author_facet | Rodriguez-Gomez, Diego Russo, Jorge G. |
| contents | We investigate the impact of higher-order fermionic deformations in phase transitions analogous to those described by the Bardeen-Cooper-Schrieffer (BCS) theory.
Focusing specifically on the 8-fermion interaction, we show that this term can have significant consequences. In certain regions of parameter space, the theory continues to exhibit second-order phase transitions with mean-field critical exponents and the same critical temperature; however, the temperature dependence of the superconducting gap can deviate markedly from conventional BCS behavior. In other regions, the theory exhibits first-order phase transitions. We conclude by discussing potential phenomenological applications of these theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_11624 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher-Order Fermion Interactions in Effective Field Theories for Phase Transitions Rodriguez-Gomez, Diego Russo, Jorge G. Superconductivity Strongly Correlated Electrons High Energy Physics - Theory We investigate the impact of higher-order fermionic deformations in phase transitions analogous to those described by the Bardeen-Cooper-Schrieffer (BCS) theory. Focusing specifically on the 8-fermion interaction, we show that this term can have significant consequences. In certain regions of parameter space, the theory continues to exhibit second-order phase transitions with mean-field critical exponents and the same critical temperature; however, the temperature dependence of the superconducting gap can deviate markedly from conventional BCS behavior. In other regions, the theory exhibits first-order phase transitions. We conclude by discussing potential phenomenological applications of these theories. |
| title | Higher-Order Fermion Interactions in Effective Field Theories for Phase Transitions |
| topic | Superconductivity Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.11624 |