逐字来源、作者主张与候选译文分别保留。工程核验不批准 OCR、译文或数学正确性。
自旋–统计定理 · 已登记discussion
Author states the spin-1/2 consequence informally, without hypotheses or proof of the full relativistic theorem.
条件与约定：原有范围、语言、来源类别及审核状态全部保留；本次只确认阅读身份对应，不提升证据资格。
符号：见原文；不跨作者统一符号。
逐字作者来源与版本
实验观察到的一个事实是，自旋为 $\frac { 1 } { 2 }$ 的基本粒子表现为费米子，并由费米子域描述。在非相对论量子场论中，这种自旋为 $\textstyle { \frac { 1 } { 2 } }$ 的基本粒子原则上可以是玻色子，由第 38.3.3 节中的玻色子域描述。然而，在相对论量子场论中存在一个 a “自旋-统计定理”，它指出自旋为 $\begin{array} { l } { { \frac { 1 } { 2 } } } \end{array}$ 的域必须用反对易子量子化。这为观察到的自旋值与粒子统计之间的关联提供了解释，原因在于描述基本粒子的非相对论理论应当是相对论理论的低能极限。
自旋–统计定理 · 已登记discussion
Author states the spin-1/2 consequence informally, without hypotheses or proof of the full relativistic theorem.
条件与约定：原有范围、语言、来源类别及审核状态全部保留；本次只确认阅读身份对应，不提升证据资格。
符号：见原文；不跨作者统一符号。
逐字作者来源与版本
It is an experimentally observed fact that elementary particles with spin $\frac { 1 } { 2 }$ behave as fermions and are described by fermionic fields. In non-relativistic quantum field theory, such spin $\textstyle { \frac { 1 } { 2 } }$ elementary particles could in principle be bosons, described by bosonic fields as in section 38.3.3. There is however a “spin-statistics theorem” in relativistic quantum field theory that says that spin $\begin{array} { l } { { \frac { 1 } { 2 } } } \end{array}$ fields must be quantized with anticommutators. This provides an explanation of the observed correlation of values of the spin and of the particle statistics, due to the fact that the non-relativistic theories describing fundamental particles should be low-energy limits of relativistic theories.