Trace anomaly and infrared cutoffs
Trace anomaly and infrared cutoffs
 
  The effective average action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realization of the renormalization group.
  
  
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      Morris, Tim R.
      
        a9927d31-7a12-4188-bc35-1c9d3a03a6a6
      
     
  
    
      Percacci, Roberto
      
        f662e494-e561-44d8-874e-59881a370d90
      
     
  
  
   
  
  
    
    
  
    
    
  
  
    
      Morris, Tim R.
      
        a9927d31-7a12-4188-bc35-1c9d3a03a6a6
      
     
  
    
      Percacci, Roberto
      
        f662e494-e561-44d8-874e-59881a370d90
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Morris, Tim R. and Percacci, Roberto
  
  
  
  
   
    (2019)
  
  
    
    Trace anomaly and infrared cutoffs.
  
  
  
  
    Physical Review D, 99 (10), , [105007].
  
   (doi:10.1103/PhysRevD.99.105007). 
  
  
   
  
  
  
  
  
   
  
    
    
      
        
          Abstract
          The effective average action is a form of effective action which depends on a cutoff scale suppressing the contribution of low momentum modes in the functional integral. It reduces to the ordinary effective action when the cutoff scale goes to zero. We derive the modifications of the scale Ward identity due to this cutoff and show how the resulting identity then intimately relates the trace anomaly to the Wilsonian realization of the renormalization group.
         
      
      
        
          
            
  
    Text
 Trace anomaly and infrared cutoffs
     - Accepted Manuscript
   
  
  
    
  
 
          
            
          
            
           
            
           
        
          
            
  
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 PhysRevD.99.105007
     - Version of Record
   
  
  
    
  
 
          
            
          
            
           
            
           
        
        
       
    
   
  
  
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      Accepted/In Press date: 26 April 2019
 
    
      e-pub ahead of print date: 16 May 2019
 
    
  
  
    
  
    
     
        Additional Information:
        Support from Leverhulme Trust and Royal Society as a Royal Society Leverhulme Trust Senior Research Fellow, and from STFC Consolidated Grant ST/P000711/1.
      
    
  
    
  
    
  
    
  
    
  
    
  
    
  
  
  
    
  
  
        Identifiers
        Local EPrints ID: 430943
        URI: http://eprints.soton.ac.uk/id/eprint/430943
        
          
        
        
        
          ISSN: 1550-7998
        
        
          PURE UUID: 4994c9a5-b821-489f-aa97-44117ea49c36
        
  
    
        
          
            
              
            
          
        
    
        
          
        
    
  
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  Date deposited: 17 May 2019 16:30
  Last modified: 16 Mar 2024 07:50
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      Contributors
      
        
      
          
          Author:
          
            
            
              Roberto Percacci
            
          
        
      
      
      
    
  
   
  
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