Functional Callan-Symanzik equation for QED

Abstract

An exact evolution equation, the functional generalization of the Callan-Symanzik method, is given for the effective action of QED where the electron mass is used to turn the quantum fluctuations on gradually. The usual renormalization group equations are recovered in the leading order but no Landau pole appears.

9 pages, no figures

References in corpus (2)

• Exact evolution equation for the effective potential
• QED in external fields, a functional point of view

Cited by in corpus (28)

• Aspects of the Functional Renormalisation Group
• Lectures on renormalization and asymptotic safety
• Functional renormalization group approach to the sine-Gordon model
• Comparison of renormalization group schemes for sine-Gordon type models
• Functional renormalization group with a compactly supported smooth regulator function
• Nonlinear Aspects of the Renormalization Group Flows of Dyson's Hierarchical Model
• Vanishing Beta Function curves from the Functional Renormalisation Group
• Spontaneous symmetry breaking and optimization of functional renormalization group
• Bosonization and Functional Renormalization Group Approach in the Framework of QED_2
• Generalized universality in the massive sine-Gordon model
• Renormalization group in the internal space
• Structure of the broken phase of the sine-Gordon model using functional renormalization
• Massless fermions in multi-flavor QED_2
• Phase Structure and Compactness
• Non-Perturbative Formulation of Time-Dependent String Solutions
• Interplay of fixed points in scalar models
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Resummation schemes for high-electric-charge objects leading to improved experimental mass limits
• Renormalization of QCD_2
• Tachyon-Dilaton-induced Inflation as an alpha'-resummed String Background
• Non-renormalization for the Liouville wave function
• An alternative approach to dynamical mass generation in QED3
• Control of quantum fluctuations for a Yukawa interaction in the Kaluza Klein picture
• A control on quantum fluctuations in 2+1 dimensions
• Non-renormalization for planar Wess-Zumino model
• Path integral quantization of scalar fluctuations above a kink
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Renormalisation of non-differentiable potentials