积分出狄拉克海：精确可解四费米子模型的有效场论方法
Integrating out the Dirac sea: Effective field theory approach to exactly solvable four-fermion models
摘要：
我们使用1+1维大N Gross-Neveu模型作为实验室，以获得微观有效的拉格朗日正能量费米子。当应用于重子时，这些有效理论的欧拉-拉格朗日方程呈现出非线性狄拉克方程的形式。它的解决方案再现完整的半经典的结果，包括狄拉克海的任何所需的精度。狄拉克海的动力学效应被编码在高阶导数项和多费米子相互作用与微扰计算，有限的系数。观察和澄清离散和连续手征对称性模型之间的特征差异。
英文摘要：
We use 1+1 dimensional large N Gross-Neveu models as a laboratory to derive microscopically effective Lagrangians for positive energy fermions only. When applied to baryons, the Euler-Lagrange equation for these effective theories assumes the form of a non-linear Dirac equation. Its solution reproduces the full semi-classical results including the Dirac sea to any desired accuracy. Dynamical effects from the Dirac sea are encoded in higher order derivative terms and multi-fermion interactions with perturbatively calculable, finite coefficients. Characteristic differences between models with discrete and continuous chiral symmetry are observed and clarified.
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