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

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imported>Pythagoras0
imported>Pythagoras0
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==introduction==
 
  
*  U(1) pure gauge theory  : theory of light (without matter)<br><math>\mathcal{L}_{\text{free}} = - \frac{1}{4}F_{\mu\nu}F^{\mu\nu}</math><br>
 
*  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]<br>
 
** 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==
 
 
* Gupta-Bleuler Method [http://en.wikipedia.org/wiki/Gupta%E2%80%93Bleuler_formalism http://en.wikipedia.org/wiki/Gupta–Bleuler_formalism]
 
 
 
 
 
 
 
 
 
 
 
==remark==
 
 
*  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>
 
 
 
 
 
 
 
 
 
==related items==
 
 
* [[no-ghost theorem and the construction of moonshine module and monster Lie algbera]]
 
 
[[분류:physics]]
 
[[분류:math and physics]]
 
[[분류:QFT]]
 

2020년 11월 13일 (금) 06:56 판