arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2106.08753hep-thhep-lathep-ph
收藏

膜上的畴壁费米子

Domain Wall Fermions on the Brane

Jesus Cruz Rojas, Nick Evans, Jack Mitchell

摘要:

我们研究了D3/探针D 7系统中畴壁费米子及其凝聚。N=2超多重态的空间依赖质量项可以被安排成在两个2+1维畴壁上隔离不同的两个分量费米子。我们认为,该系统显示冷凝/质量生成类似于D3/探针D5抗D5系统。手征凝聚体和π介子质量可以直接在畴壁上计算。我们提供的证据表明,这些系统的域分开的宽度W有一个裸露的(当前)夸克质量的尺度为1/W时,空间依赖的质量是大的。外加磁场不会在分离的畴壁费米子之间引起手征对称性破缺,但可以使类似的唯象性费米子因子足够强以引入自发对称性破缺。我们显示了一个盖尔曼-奥克斯-伦纳关系的π介子在这种情况下,也为D 7探针的情况下,在反反应的π介子流几何形状。真空组态也可以被解释为由Nambu-Jona-Lasinio四费米子算符自发产生的质量,这取决于波动边界条件的选择,根据Witten的多迹处方。

英文摘要:

We study domain wall fermions and their condensation in the D3/probe D7 system. A spatially dependent mass term for the N=2 hypermultiplet can be arranged to isolate distinct two component fermions on two 2+1 dimensional domain walls. We argue that the system shows condensation/mass generation analogous to the D3/probe D5 anti-D5 system. The chiral condensate and pion mass can be directly computed on the domain wall. We provide evidence that these systems with the domains separated by a width w have a bare (current) quark mass that scales as 1/w when the spatial dependent mass is large. Adding a magnetic field does not induce chiral symmetry breaking between the separated domain wall fermions, but a similar phenomenological dilaton factor can be made strong enough to introduce spontaneous symmetry breaking. We show a Gell-Man-Oakes-Renner relation for the pions in that case and also for the case where the D7 probe is in a back-reacted dilaton flow geometry. The vacuum configurations can also be interpreted as having a spontaneously generated mass by a Nambu-Jona-Lasinio four fermion operator, depending on the choice of boundary conditions on fluctuations, according to Witten's multi-trace prescription.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑