Bosonization and Functional Renormalization Group Approach in the Framework of QED_2

Abstract

Known results on two-dimensional quantum electrodynamics (QED_2) have been used to study the dependence of functional renormalization group equations on renormalization schemes and approximations applied for its bosonized version. It is demonstrated that the singularity of flow equations can be avoided in the optimized and power-law schemes for the bosonized model and the drawback of renormalization on bosonization is shown: it is indicated that renormalization of QED_2 possibly requires interaction terms corresponding to higher frequency modes of its bosonized version.

v3: 8 pages, 7 figures, final version, published in Phys. Rev. D

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Cited by in corpus (19)

• Infrared fixed point in quantum Einstein gravity
• Spontaneous symmetry breaking and optimization of functional renormalization group
• Critical exponents of the O(N) model in the infrared limit from functional renormalization
• Interplay of fixed points in scalar models
• Degeneracy induced scaling of the correlation length for periodic models
• $c$-function and central charge of the sine-Gordon model from the non-perturbative renormalization group flow
• The Numerically Optimized Regulator and the Functional Renormalization Group
• Physical properties of the massive Schwinger model from the nonperturbative functional renormalization group
• String tension and robustness of confinement properties of in the Schwinger-Thirring model
• Asymptotic safety in the sine-Gordon model
• Optimized regulator for the quantized anharmonic oscillator
• Pseudo-Periodic Natural Higgs Inflation
• Functional renormalization flow and dynamical chiral symmetry breaking of QCD
• Renormalization-Group Running Induced Cosmic Inflation
• Plasmons in QED Vacuum
• Coulomb Gas and Sine-Gordon Model in Arbitrary Dimension
• Renormalization of the bilocal sine-Gordon model
• Intermediate effective interactions and dynamical fermion mass generation of QCD
• Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality