2015年12月
Monte Carlo study of Lefschetz thimble structure in one-dimensional Thirring model at finite density
JOURNAL OF HIGH ENERGY PHYSICS
- ,
- ,
- 巻
- 号
- 12
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/JHEP12(2015)125
- 出版者・発行元
- SPRINGER
We consider the one-dimensional massive Thirring model formulated on the lattice with staggered fermions and an auxiliary compact vector (link) field, which is exactly solvable and shows a phase transition with increasing the chemical potential of fermion number: the crossover at a finite temperature and the first order transition at zero temperature. We complexify its path-integration on Lefschetz thimbles and examine its phase transition by hybrid Monte Carlo simulations on the single dominant thimble. We observe a discrepancy between the numerical and exact results in the crossover region for small inverse coupling beta and/or large lattice size L, while they are in good agreement in the lower and higher density regions. We also observe that the discrepancy persists in the continuum limit to keep the temperature finite and it becomes more significant toward the low-temperature limit. This numerical result is consistent with our analytical study of the model and implies that the contributions of subdominant thimbles should be summed up in order to reproduce the first order transition in the low-temperature limit.
- リンク情報
- ID情報
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- DOI : 10.1007/JHEP12(2015)125
- ISSN : 1029-8479
- Web of Science ID : WOS:000412875900001