scholarly journals Analytical approximation schemes for solving exact renormalization group equations. II Conformal mappings

2008 ◽  
Vol 801 (3) ◽  
pp. 296-315 ◽  
Author(s):  
C. Bervillier ◽  
B. Boisseau ◽  
H. Giacomini
Keyword(s):  
Renormalization Group ◽  
Analytical Approximation ◽  
Conformal Mappings ◽  
Approximation Schemes ◽  
Renormalization Group Equations ◽  
Exact Renormalization Group

scholarly journals SCHEME INDEPENDENCE AS AN INHERENT REDUNDANCY IN QUANTUM FIELD THEORY

2001 ◽  
Vol 16 (11) ◽  
pp. 2071-2074 ◽  
Author(s):  
JOSÉ I. LATORRE ◽  
TIM R. MORRIS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Renormalization Group ◽  
Renormalization Group Equation ◽  
Group Equation ◽  
Quantum Field ◽  
Renormalization Group Equations ◽  
Field Transformation ◽  
Exact Renormalization Group ◽  
Infinite Set

The path integral formulation of Quantum Field Theory implies an infinite set of local, Schwinger-Dyson-like relation. Exact renormalization group equations can be cast as a particular instance of these relations. Furthermore, exact scheme independence is turned into a vector field transformation of the kernel of the exact renormalization group equation under field redefinitions.

EXACT RENORMALIZATION GROUP EQUATIONS FOR THE AVERAGE ACTION AND SYSTEMATIC EXPANSIONS

1994 ◽  
Vol 09 (20) ◽  
pp. 3571-3602 ◽  
Author(s):  
C. WETTERICH
Keyword(s):  
Differential Equation ◽  
Renormalization Group ◽  
Differential Equations ◽  
Renormalization Group Equations ◽  
Average Action ◽  
Exact Renormalization Group

We derive exact equations describing the dependence of the average action on the scale k characteristic for the averaging. Such an equation is a differential equation with infinitely many variables. We reformulate it as a system of infinitely many differential equations for infinitely many couplings and sketch systematic expansions for this system. We also establish the connection between these equations and other formulations of exact renormalization group equations.

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