Wave-function renormalization constant for the one-band Hubbard Hamiltonian in two dimensions

1993 ◽  
Vol 48 (1) ◽  
pp. 426-436 ◽  
Author(s):  
E. Louis ◽  
G. Chiappe ◽  
J. Galán ◽  
F. Guinea ◽  
J. A. Vergés
Keyword(s):  
Wave Function ◽  
Renormalization Constant ◽  
Two Dimensions ◽  
Wave Function Renormalization ◽  
Hubbard Hamiltonian ◽  
The One ◽  
Wave Function Renormalization Constant

scholarly journals RELATING CALCULATIONS AND RENORMALIZATION IN AXIAL AND LORENTZ GAUGES AND GAUGE-INDEPENDENCE

2005 ◽  
Vol 20 (28) ◽  
pp. 6437-6449
Author(s):  
SATISH D. JOGLEKAR
Keyword(s):  
Wave Function ◽  
Green's Functions ◽  
Green’S Functions ◽  
Wave Function Renormalization ◽  
Renormalization Procedure ◽  
Point Function ◽  
Starting Point ◽  
Loop Approximation ◽  
The Difference ◽  
The One

We study further the recently developed formalism for the axial gauges toward the comparison of calculations and of the renormalization procedure in the axial and the Lorentz gauges. We do this in the one-loop approximation for the wave function renormalization and the identity of the β-functions in the two gauges. We take as the starting point the relation between the Green's functions in the two gauges obtained earlier. We obtain the relation between the one-loop propagators in the two gauges and locate those diagrams that contribute to the difference between the wave function renormalizations in the two gauges. We further employ this relation between the Green's functions to the case of the 3-point function and prove the identity of the β-functions in the two gauges.

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