论文标题
在非热迪拉克费米子场理论中，离散的时空对称性，第二量化和内部产物
Discrete spacetime symmetries, second quantization, and inner products in a non-Hermitian Dirac fermionic field theory
论文作者
论文摘要
我们以PT对称性扩展到非富尔米式量子场理论，我们先前关于第二个量化，离散对称性转换和内部产物的讨论在标量场理论中[ARXIV：2006.06656]。为了进行说明，我们考虑了一个原型模型，该模型包含具有平等性的，反动物质量术语的单个狄拉克·费米昂。在不间断的PT对称性阶段，这种狄拉克·费米昂模型等同于在相似性转化下的居尔米式理论，而该模型的非赫米特式性质仅位于旋转器结构中，而创建和歼灭操作员的代数仅是遗传理论的。
We extend to a non-Hermitian fermionic quantum field theory with PT symmetry our previous discussion of second quantization, discrete symmetry transformations, and inner products in a scalar field theory [arXiv:2006.06656]. For illustration, we consider a prototype model containing a single Dirac fermion with a parity-odd, anti-Hermitian mass term. In the phase of unbroken PT symmetry, this Dirac fermion model is equivalent to a Hermitian theory under a similarity transformation, with the non-Hermitian nature of the model residing only in the spinor structure, whereas the algebra of the creation and annihilation operators is just that of a Hermitian theory.
