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

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2012년 10월 28일 (일) 17:13 판

introduction

  • 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

 

 

Gupta-Bleuler quantization of QED

 

 

 

remark

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

 

 

history

 

 

related items

 

 

encyclopedia

 

 

books

 

 

 

expositions

 

 

articles

 

 

 

question and answers(Math Overflow)

 

 

 

blogs

 

 

experts on the field

 

 

links