论文标题
在晶格Nambu-Jona-Lasinio模型中自发的质量产生和手性对称性破裂
Spontaneous mass generation and chiral symmetry breaking in a lattice Nambu-Jona-Lasinio model
论文作者
论文摘要
我们研究了一个晶格Nambu-Jona-Lasinio模型，在Kogut-Susskind Hamiltonian形式主义中具有相互交错的费米子。该模型具有离散的手性对称性，但没有通常的连续手性对称性。在针对四屈光度相互作用的强耦合方案中，我们证明，在尺寸的尺寸足够低的非零温度下，模型3 $的质量是在足够低的非零温度下自发产生的，在$ν$中，零温度为$ n $ν\ ge 2 $。由于相变，模型的离散性手性对称性被损坏。我们的分析基于费米子的反射阳性和红外结合的方法。
We study a lattice Nambu-Jona-Lasinio model with interacting staggered fermions in the Kogut-Susskind Hamiltonian formalism. The model has a discrete chiral symmetry but not the usual continuous chiral symmetry. In a strong coupling regime for the four-fermion interaction, we prove that the mass of the fermions is spontaneously generated at sufficiently low non-zero temperatures in the dimensions $ν\ge 3$ of the model and zero temperature in $ν\ge 2$. Due to the phase transition, the discrete chiral symmetry of the model is broken. Our analysis is based on the reflection positivity for fermions and the method of the infrared bound.
