Manifestly gauge invariant computations
Manifestly gauge invariant computations
 
  Using a gauge invariant exact renormalization group, we show how to compute the effective action, and extract the physics, whilst manifestly preserving gauge invariance at each and every step. As an example we give an elegant computation of the one-loop SU(N) Yang-Mills beta function, for the first time at finite N without any gauge fixing or ghosts. It is also completely independent of the details put in by hand, e.g. the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.
  1-8
  
  
    
      Arnone, Stefano
      
        d2a9a0a5-34fd-4205-b5f4-107208f44fb2
      
     
  
    
      Gatti, Antonio
      
        ca881118-1418-49bc-98eb-23f315d96d59
      
     
  
    
      Morris, Tim R.
      
        a9927d31-7a12-4188-bc35-1c9d3a03a6a6
      
     
  
  
   
  
  
    
      16 July 2002
    
    
  
  
    
      Arnone, Stefano
      
        d2a9a0a5-34fd-4205-b5f4-107208f44fb2
      
     
  
    
      Gatti, Antonio
      
        ca881118-1418-49bc-98eb-23f315d96d59
      
     
  
    
      Morris, Tim R.
      
        a9927d31-7a12-4188-bc35-1c9d3a03a6a6
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Arnone, Stefano, Gatti, Antonio and Morris, Tim R.
  
  
  
  
   
    (2002)
  
  
    
    Manifestly gauge invariant computations.
  
  
  
  
    Pre-print, .
  
   
  
  
   
  
  
  
  
  
   
  
    
      
        
          Abstract
          Using a gauge invariant exact renormalization group, we show how to compute the effective action, and extract the physics, whilst manifestly preserving gauge invariance at each and every step. As an example we give an elegant computation of the one-loop SU(N) Yang-Mills beta function, for the first time at finite N without any gauge fixing or ghosts. It is also completely independent of the details put in by hand, e.g. the choice of covariantisation and the cutoff profile, and, therefore, guides us to a procedure for streamlined calculations.
        
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  More information
  
    
      Published date: 16 July 2002
 
    
  
  
    
  
    
     
        Additional Information:
        arXiv:hep-th/0207154v1
      
    
  
    
  
    
  
    
  
    
  
    
  
    
  
  
        Identifiers
        Local EPrints ID: 57000
        URI: http://eprints.soton.ac.uk/id/eprint/57000
        
        
        
        
          PURE UUID: a2f6ea2f-2b56-4c8d-b7cb-b54880759c2b
        
  
    
        
          
        
    
        
          
        
    
        
          
            
              
            
          
        
    
  
  Catalogue record
  Date deposited: 13 Aug 2008
  Last modified: 12 Dec 2021 02:36
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      Contributors
      
          
          Author:
          
            
            
              Stefano Arnone
            
          
        
      
          
          Author:
          
            
            
              Antonio Gatti
            
          
        
      
        
      
      
      
    
  
   
  
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