论文标题

在1+1个尺寸的总尺寸有限数量的口味的Baryons中

Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

论文作者

Lenz, Julian J., Pannullo, Laurin, Wagner, Marc, Wellegehausen, Björn, Wipf, Andreas

论文摘要

在最近的一项工作中,我们以$ 1+1 $尺寸为$ 1+1 $尺寸的Fermion Flavors $ N_ \ MATHRM {F} = 2,8,16 $,使用Lattice Field理论的有限温度和有限的化学势。最重要的是,我们在低温和较大的化学潜力下发现了一个不均匀的相,与可解决的$ n_ \ mathrm {f} \ rightarrow \ infty $ limit非常相似。在目前的工作中,我们继续研究有限$ n_ \ mathrm {f} $ gn模型的晶格现场理论调查,通过研究重子的形成,它们的空间分布及其与手性冷凝物的关系。作为准备步骤,我们还讨论了晶格费米子与化学势的线性耦合。

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory. Most importantly, we found an inhomogeneous phase at low temperature and large chemical potential, quite similar to the analytically solvable $N_\mathrm{f} \rightarrow \infty$ limit. In the present work we continue our lattice field theory investigation of the finite-$N_\mathrm{f}$ GN model by studying the formation of baryons, their spatial distribution and their relation to the chiral condensate. As a preparatory step we also discuss a linear coupling of lattice fermions to the chemical potential.

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