量子场论公式与记号

单位制: 自然单位制 \(\displaystyle \hbar=c=1\) \(\displaystyle [\mathrm{L}]=[\mathrm T]=[Energy]^{-1}=[mass]^{-1}\) mass : \(\displaystyle Mc^{2}/c^2\implies[mass]=[Energy]\), length: \(\displaystyle \frac{\hbar c}{mc^{2}}=[Energy]^{-1}\), time: \(\displaystyle \frac{\hbar }{mc^{2}}=[Energy]^{-1}\) 度规张量: \(\displaystyle g_{\mu \nu}=g^{\mu \nu}=\mathrm{diag}\{1,-1,-1,-1\}\) 全反对称张量: \(\displaystyle \varepsilon ^{0123}=+ 1\), \(\displaystyle \varepsilon _{0123}=-1\), \(\displaystyle \varepsilon ^{1230}=-1\) \(\displaystyle E=\mathrm{i}\frac{ \partial }{ \partial x^{0} }\), \(\displaystyle \boldsymbol{p}=-\mathrm{i} \nabla\), \(\displaystyle p^{\mu}=\mathrm{i}\partial ^{\mu}\), 平面波 \(\displaystyle \mathrm{e}^{-\mathrm{i}k x}\)