"Gauge theory"의 두 판 사이의 차이

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2009년 8월 20일 (목) 05:13 판

meaning of the gague invariance
  • gauge = measure
  • gauge invariance 란 measurement에 있어서의 invariance를 말함
  • Lagrangian should be gauge invariant.

 

 

 

examples of renormalizable gauge theory

 

Abelian gauge theory
  • abelian gauge theory has a duality

 

 

Non-Abelian gauge theory

 

differential geometry formulation
  • manifold \(\mathbb R^{1,3}\) and having a vector bundle gives a connection
  • connection \(A\) = special kind of 1-form 
  • \(dA\) = 2-form which measures the electromagnetic charge
  • Then the Chern class measures the magnetic charge.

 

 

Principal G-bundle

 

 



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