U(1)-gauged 2-flavor spin system in 3-D
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| Format: | Preprint |
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2025
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| _version_ | 1866917914035093504 |
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| author | Gattringer, Christof Sulejmanpasic, Tin |
| author_facet | Gattringer, Christof Sulejmanpasic, Tin |
| contents | We study a U(1)-gauged 2-component spin system in 3 dimensions. For the gauge fields we use the Villain formulation with a constraint that removes lattice monopoles and in this form couple the gauge fields to 2-component spins. We discuss the simulation strategies for this highly constraint system and present first results for the phase structure. Our preliminary Monte Carlo simulations indicate that the system undergoes a second order phase transition driven by the spin coupling. However, the correlation length critical exponent is inconsistent with the conformal bootstrap constraint for a critical (rather than multi-critical) fixed point, which forces a conclusion that the transition is likely weakly 1st order, passing close to a multi-critical point. To reliably resolve the nature of the transition, simulations on larger lattices will be necessary. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2502_03371 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | U(1)-gauged 2-flavor spin system in 3-D Gattringer, Christof Sulejmanpasic, Tin High Energy Physics - Lattice High Energy Physics - Theory We study a U(1)-gauged 2-component spin system in 3 dimensions. For the gauge fields we use the Villain formulation with a constraint that removes lattice monopoles and in this form couple the gauge fields to 2-component spins. We discuss the simulation strategies for this highly constraint system and present first results for the phase structure. Our preliminary Monte Carlo simulations indicate that the system undergoes a second order phase transition driven by the spin coupling. However, the correlation length critical exponent is inconsistent with the conformal bootstrap constraint for a critical (rather than multi-critical) fixed point, which forces a conclusion that the transition is likely weakly 1st order, passing close to a multi-critical point. To reliably resolve the nature of the transition, simulations on larger lattices will be necessary. |
| title | U(1)-gauged 2-flavor spin system in 3-D |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.03371 |