"Constrained system : U(1) pure gauge theory"의 두 판 사이의 차이

2012년 8월 26일 (일) 10:57 판

U(1) pure gauge theory : theory of light (without matter)
\(\mathcal{L}_{\text{free}} = - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}\)
quantization of the photon field http://www.ecm.ub.es/~espriu/teaching/classes/fae/LECT4.pdf
- fix the gauge
- quantize unconstrained system
- gives physical and unphysical states (negative norm states)
- impose the constraint condition to remove negative norm states
- we get a Hilbert space of physical states

if matter exists, we get QED
\(\mathcal{L}_{\text{free}} = \bar{\psi} (i\gamma^\mu \partial_\mu -m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}\)

@@ 25번째 줄: / 25번째 줄: @@
 <h5>remark</h5>
-* if matter exists, we get [[QED]]
+*  if matter exists, we get [[QED]]<br><math>\mathcal{L}_{\text{free}} = \bar{\psi} (i\gamma^\mu \partial_\mu -m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}</math><br>
-*
-<math>\mathcal{L}_{\text{free}} = \bar{\psi} (i\gamma^\mu \partial_\mu -m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}</math>