Renormalization

renormalization

• way of pulling out sensible answers from Feynman diagrams that explode
• there are two parts in the renormailization program
  
  • regularization - the divergences must be written down in some way so that they can be compared, added and subtracted
    
  • renormalization proper - the various divergences must be gathered together and extracted from the rest of the calculation
    

 

 

regularization

• root of the problem
  
  • probability of creating particles of colossal energies
    
  • in terms of Feynman diagrams, the momentum in a loop can run away to infinity
    
• dimensional regularization
  
  • regularization scheme (especially good in QCD)
    
  • regard the dimension as a continuous quantity
    
  • coupling constant changes accordingly as the dimension changes continuously
    
  • we get a new parameter called regularization scheme
    

 

 

QED renormalization

• three basic divergent diagrams and three counter-terms to match and three infinite constants
  
• electron self-energy diagram transforms the bare electron mass into the physical ones
  
• vertex diagram links bare electri charge to phstical electric charge
  
• photon self energy is related to the transformation of bare electric field strngth to physical field strength
  

 

 

 

 

 

 

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참고할만한 자료

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