Free fermion

수학노트
http://bomber0.myid.net/ (토론)님의 2012년 8월 26일 (일) 10:54 판
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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
  • \(T(z)=-\frac{1}{2}:\psi(z)\partial \psi(z):=-\frac{1}{2}\left(\lim_{w\to z}\psi(z)\partial \psi(z)+\frac{1}{(z-w)^2}\right)\)

 

 

 

 

history

 

 

related items

 

 

encyclopedia

 

 

books

 

 

 

expositions

 

 

articles

 

 

 

question and answers(Math Overflow)

 

 

 

blogs

 

 

experts on the field

 

 

links