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

2011년 9월 20일 (화) 08:02 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

gives physical and unphysical states

Hilbert space of physical states

quantize unconstrained system and then impose the constraint

remark

if matter exists, we get QED

\(\mathcal{L}_{\text{free}} = \bar{\psi} (i\gamma^\mu \partial_\mu -m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}\)

@@ 1번째 줄: / 1번째 줄: @@
+U(1) pure gauge theory  : theory of light (without matter)
+<math>\mathcal{L}_{\text{free}} = - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}</math>
+quantization of the photon field
+[http://www.ecm.ub.es/%7Eespriu/teaching/classes/fae/LECT4.pdf http://www.ecm.ub.es/~espriu/teaching/classes/fae/LECT4.pdf]
+gives physical and unphysical states
+Hilbert space of physical states
+quantize unconstrained system and then impose the constraint
+remark
+if matter exists, we get [[QED]]
+<math>\mathcal{L}_{\text{free}} = \bar{\psi} (i\gamma^\mu \partial_\mu -m)\psi - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}</math>