论文标题
关于量子场理论的新观点，揭示了形成暗物质的另一种费米子的可能存在
A New Perspective on Quantum Field Theory Revealing Possible Existence of Another Kind of Fermions Forming Dark Matter
论文作者
论文摘要
量子字段被认为是无限维clifford代数$ cl（\ infty）$的发电机，可以是正交的（如果是fermions）或symbletic（对于玻色子）。通用量子状态可以表示为$ cl（\ infty）$的基本元素的叠加，叠加系数为多粒子复合物值波函数。基础元素是$ cl（\ infty）$的发电机的产物，它是创建和歼灭操作员。它们创建了正面和负能量状态，包括裸露和狄拉克真空作为特殊情况。结果表明，非变化电荷来自额外的尺寸或使创建和an灭操作员的数量增加一倍，这将额外的假想单位$ {\ bar I} $带入了描述中。进一步的扩展是将$ {\ bar i} $视为Quaternionic假想单元之一，并将仿制状态视为在Quaternionic代数中具有价值，或等效地，在复杂的二维Clifford代数中，$ Cl（2）\ otimes c $ .contains c $ .contains c $ .contains c $ sueptions $ sueptions $ sue $ sue $ sue（2） $（ν_e，e^ - ）$，另一个带有新瘦素的双打，表示$（ε^+，ν_ε）$，与新的Quarks $（u'，d'）$一起，可以与暗物质一起识别。
Quantum fields are considered as generators of infinite-dimensional Clifford algebra $Cl(\infty)$, which can be either orthogonal (in case of fermions) or symplectic (in case of bosons). A generic quantum state can be expressed as a superposition of the basis elements of $Cl(\infty)$, the superposition coefficients being multiparticle complex-valued wave functions. The basis elements, that are products of the generators of $Cl(\infty)$ in the Witt basis, act as creation and annihilation operators. They create positive and negative energy states that include the bare and the Dirac vacuum as special cases. It is shown that the nonvanishing electric charge arises from an extra dimension or from doubling the number of creation and annihilation operators, which brings an extra imaginary unit ${\bar i}$ into the description. A further extension is to consider the ${\bar i}$ as one of the quaternionic imaginary units and consider a generic state as having values in the quaternionic algebra or, equivalently, in the complexified 2-dimensional Clifford algebra, $Cl(2)\otimes C$.contains two distinct fundamental representations of $SU(2)$, one associated with the weak isospin oublet $(ν_e,e^-)$, and the other one with the doublet of new leptons, denoted $(ε^+,ν_ε)$, that together with the new quarks $(u',d')$ can be identified with dark matter.
