Conformal anomaly from gauge fields without gauge fixing
Conformal anomaly from gauge fields without gauge fixing
 
  We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularization is provided by covariant higher derivatives and by embedding the Maxwell field into a spontaneously broken U(1|1) supergauge theory. We first provide a realization that leaves behind two versions of the original U(1) gauge field, and then construct a manifestly U(1|1) supergauge invariant flow equation which leaves behind only the original Maxwell field in the spontaneously broken regime.
      Falls, Kevin
      
        2511c01a-cb52-4ba4-a81f-f9aaf22cc975
      
     
  
    
      Morris, Tim R.
      
        a9927d31-7a12-4188-bc35-1c9d3a03a6a6
      
     
  
  
   
  
  
    
    
  
    
    
  
  
    
      Falls, Kevin
      
        2511c01a-cb52-4ba4-a81f-f9aaf22cc975
      
     
  
    
      Morris, Tim R.
      
        a9927d31-7a12-4188-bc35-1c9d3a03a6a6
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Falls, Kevin and Morris, Tim R.
  
  
  
  
   
    (2018)
  
  
    
    Conformal anomaly from gauge fields without gauge fixing.
  
  
  
  
    Physical Review D, 97 (6), [065013].
  
   (doi:10.1103/PhysRevD.97.065013). 
  
  
   
  
  
  
  
  
   
  
    
    
      
        
          Abstract
          We show how the Weyl anomaly generated by gauge fields, can be computed from manifestly gauge invariant and diffeomorphism invariant exact renormalization group equations, without having to fix the gauge at any stage. Regularization is provided by covariant higher derivatives and by embedding the Maxwell field into a spontaneously broken U(1|1) supergauge theory. We first provide a realization that leaves behind two versions of the original U(1) gauge field, and then construct a manifestly U(1|1) supergauge invariant flow equation which leaves behind only the original Maxwell field in the spontaneously broken regime.
         
      
      
        
          
            
  
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 Conformal anomaly from gauge �elds without
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 PhysRevD.97.065013
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      Accepted/In Press date: 15 March 2018
 
    
      e-pub ahead of print date: 19 March 2018
 
    
  
  
    
  
    
     
        Additional Information:
        AM added. Record should now be complete.
      
    
  
    
  
    
  
    
  
    
  
    
  
    
  
  
  
    
  
  
        Identifiers
        Local EPrints ID: 419636
        URI: http://eprints.soton.ac.uk/id/eprint/419636
        
          
        
        
        
          ISSN: 2470-0010
        
        
          PURE UUID: 4768b8c8-13ed-44a6-b2a5-14728c94d7b4
        
  
    
        
          
        
    
        
          
            
              
            
          
        
    
  
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  Date deposited: 17 Apr 2018 16:30
  Last modified: 01 Mar 2024 02:33
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          Author:
          
            
            
              Kevin Falls
            
          
        
      
        
      
      
      
    
  
   
  
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