Free fermion
imported>Pythagoras0님의 2016년 7월 21일 (목) 17:11 판
introduction
- c=1/2 (for \psi real)
- c=1 (for \psi complex)
action
\(S= \int\!d^2x\, \psi^\dagger \gamma^0 \gamma^\mu \partial_\mu \psi= \int\!d^2z\, \psi^\dagger_R \bar\partial \psi_R + \psi_L^\dagger \bar\partial \psi_L\,\)
\(\psi(z_1)\psi(z_2) \sim \frac{1}{(z_1 - z_2)}\)
energy-momentum tensor
- \(T(z)=-\frac{1}{2}:\psi(z)\partial \psi(z):=-\frac{1}{2}\left(\lim_{w\to z}\psi(z)\partial \psi(z)+\frac{1}{(z-w)^2}\right)\)