Symmetric Mass Generation via Multicriticality in a 3D Lattice Gross-Neveu Model
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arXiv
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| Format: | Preprint |
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2026
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| author | Maiti, Sandip Banerjee, Debasish Chandrasekharan, Shailesh Marinkovic, Marina K. |
| author_facet | Maiti, Sandip Banerjee, Debasish Chandrasekharan, Shailesh Marinkovic, Marina K. |
| contents | We investigate a three-dimensional lattice model of two flavors of massless staggered fermions coupled through two independent four-fermion interactions, $U_I$ and $U_B$. Using large-scale fermion-bag Monte Carlo simulations, we map out the phase diagram in the $(U_I, U_B)$ parameter space and identify three distinct phases: a massless fermion phase, a symmetry-broken massive phase, and a symmetric massive phase. When one of the interactions is absent ($U_B=0$), the system undergoes a single continuous transition directly connecting the massless and symmetric massive phases, a feature previously associated with unconventional fermion mass generation. We find that turning on a nonzero $U_B$ separates this direct transition into two successive transitions with an intermediate symmetry-broken phase. The transition from the massless to the broken phase belongs to the Gross-Neveu universality class, while the transition from the broken to the symmetric massive phase falls into the three-dimensional XY universality class. Our results indicate that the special point at vanishing coupling, where the direct transition occurs, plays the role of a multicritical point organizing the surrounding phase structure. These findings provide a unified lattice perspective on conventional and unconventional mechanisms of fermion mass generation within a single model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23158 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetric Mass Generation via Multicriticality in a 3D Lattice Gross-Neveu Model Maiti, Sandip Banerjee, Debasish Chandrasekharan, Shailesh Marinkovic, Marina K. High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory We investigate a three-dimensional lattice model of two flavors of massless staggered fermions coupled through two independent four-fermion interactions, $U_I$ and $U_B$. Using large-scale fermion-bag Monte Carlo simulations, we map out the phase diagram in the $(U_I, U_B)$ parameter space and identify three distinct phases: a massless fermion phase, a symmetry-broken massive phase, and a symmetric massive phase. When one of the interactions is absent ($U_B=0$), the system undergoes a single continuous transition directly connecting the massless and symmetric massive phases, a feature previously associated with unconventional fermion mass generation. We find that turning on a nonzero $U_B$ separates this direct transition into two successive transitions with an intermediate symmetry-broken phase. The transition from the massless to the broken phase belongs to the Gross-Neveu universality class, while the transition from the broken to the symmetric massive phase falls into the three-dimensional XY universality class. Our results indicate that the special point at vanishing coupling, where the direct transition occurs, plays the role of a multicritical point organizing the surrounding phase structure. These findings provide a unified lattice perspective on conventional and unconventional mechanisms of fermion mass generation within a single model. |
| title | Symmetric Mass Generation via Multicriticality in a 3D Lattice Gross-Neveu Model |
| topic | High Energy Physics - Lattice Strongly Correlated Electrons High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.23158 |