The~$R$-operation in the $\lambda\varphi^4$-theory as a~consequence of an~indefinite metric in the extended space of states (lowest orders)
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 27-38
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			It is shown that the iterative solution of the Heisenberg equations of motion for the operators of creation and annihilation in the quasi-Fok space [1] automatically lead in the first two orders of perturbation theory to the field renormalized by a certain $R$-operation. Thus, the expressions for the constant $\delta m^2$ of the mass renormalization and the constant $Z_3$ of the wavefunction
renormalization are finite in the quasi-Fok space.
			
            
            
            
          
        
      @article{TMF_1974_18_1_a2,
     author = {O. I. Zavialov and P. B. Medvedev},
     title = {The~$R$-operation in the $\lambda\varphi^4$-theory as a~consequence of an~indefinite metric in the extended space of states (lowest orders)},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {27--38},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/}
}
                      
                      
                    TY - JOUR AU - O. I. Zavialov AU - P. B. Medvedev TI - The~$R$-operation in the $\lambda\varphi^4$-theory as a~consequence of an~indefinite metric in the extended space of states (lowest orders) JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1974 SP - 27 EP - 38 VL - 18 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/ LA - ru ID - TMF_1974_18_1_a2 ER -
%0 Journal Article %A O. I. Zavialov %A P. B. Medvedev %T The~$R$-operation in the $\lambda\varphi^4$-theory as a~consequence of an~indefinite metric in the extended space of states (lowest orders) %J Teoretičeskaâ i matematičeskaâ fizika %D 1974 %P 27-38 %V 18 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/ %G ru %F TMF_1974_18_1_a2
O. I. Zavialov; P. B. Medvedev. The~$R$-operation in the $\lambda\varphi^4$-theory as a~consequence of an~indefinite metric in the extended space of states (lowest orders). Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 1, pp. 27-38. http://geodesic.mathdoc.fr/item/TMF_1974_18_1_a2/
