Higher Loop Corrections to the Infrared Evolution of Fermionic Gauge Theories in the RI' Scheme

Abstract

We study the evolution of the gauge coupling and the anomalous dimension of the mass towards an infrared fixed point for non-supersymmetric gauge theories in the modified regularization invariant, RI', scheme. This is done at the three loop level where all the renormalization group functions have been calculated explicitly. The purpose is to assess the scheme dependence of earlier and similar investigations performed at three and four loop order in the modified minimal subtraction, $\overline{\text{MS}}$, scheme. Our results are of the same order when compared to the $\overline{\text{MS}}$ scheme.

References in corpus (12)

• Supersymmetry Inspired QCD Beta Function
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
• Maximum Wavelength of Confined Quarks and Gluons and Properties of Quantum Chromodynamics
• Beta Function and Anomalous Dimensions
• An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Higher-Loop Structural Properties of the $\beta$ Function in Asymptotically Free Vectorial Gauge Theories
• Study of Scheme Transformations to Remove Higher-Loop Terms in the $\beta$ Function of a Gauge Theory
• Higher-Loop Calculations of the Ultraviolet to Infrared Evolution of a Vectorial Gauge Theory in the Limit $N_c\to \infty$, $N_f\to \infty$ with $N_f/N_c$ Fixed
• Comparison of Some Exact and Perturbative Results for a Supersymmetric SU($N_c$) Gauge Theory
• Exceptional and Spinorial Conformal Windows

Cited by in corpus (30)

• Infrared Zero of $\beta$ and Value of ${\gamma }_m$ for an SU(3) Gauge Theory at the Five-Loop Level
• Study of Possible Ultraviolet Zero of the Beta Function in Gauge Theories with Many Fermions
• Higher-Order Scheme-Independent Series Expansions of ${\gamma }_{\bar{\psi }\psi ,IR}$ and ${\beta }_{IR}^{\prime }$ in Conformal Field Theories
• Scheme-Independent Series Expansions at an Infrared Zero of the Beta Function in Asymptotically Free Gauge Theories
• Scheme-Independent Calculation of ${\gamma }_{\bar{\psi }\psi ,IR}$ for an SU(3) Gauge Theory
• Conformal Behavior at Four Loops and Scheme (In)Dependence
• Six dimensional QCD at two loops
• Generalized Scheme Transformations for the Elimination of Higher-Loop Terms in the Beta Function of a Gauge Theory
• Infrared Fixed Points in the minimal MOM Scheme
• New Scheme Transformations and Application to Study Scheme Dependence of an Infrared Zero of the Beta Function in Gauge Theories
• Banks-Zaks fixed point analysis in momentum subtraction schemes
• Infrared Fixed Point Physics in $\mathrm{SO}(N_c)$ and $\mathrm{Sp}(N_c)$ Gauge Theories
• $A_k\bar{F}$ Chiral Gauge Theories
• Scheme-Independent Calculations of Anomalous Dimensions of Baryon Operators in Conformal Field Theories
• Renormalization-Group Flows and Fixed Points in Yukawa Theories
• Higher-Order Scheme-Independent Calculations of Physical Quantities in the Conformal Phase of a Gauge Theory
• An Integral Formalism for the Construction of Scheme Transformations in Quantum Field Theory
• On the Question of a Possible Infrared Zero in the Beta Function of the Finite-$N$ Gross-Neveu Model
• Renormalization-Group Evolution of Chiral Gauge Theories
• Scheme-Independent Series for Anomalous Dimensions of Higher-Spin Operators at an Infrared Fixed Point in a Gauge Theory
• Renormalization-Group Behavior of ${\varphi }^3$ Theories in $d=6$ Dimensions
• Renormalization of QCD in the interpolating momentum subtraction scheme at three loops
• Five loop anomalous dimension of non-singlet quark currents in the RI' scheme
• Effect of Scheme Transformations on a Beta Function with Vanishing One-Loop Term
• Duality in a Supersymmetric Gauge Theory From a Perturbative Viewpoint
• Anomalous Dimensions at an Infrared Fixed Point in an SU($N_c$) Gauge Theory with Fermions in the Fundamental and Antisymmetric Tensor Representations
• Study of the Ultraviolet Behavior of an O($N$) $|\vec{\varphi }{|}^6$ Theory in $d=3$ Dimensions
• Search for an Ultraviolet Zero in the Seven-Loop Beta Function of the $\lambda {\varphi }_4^4$ Theory
• A Comparative Study of Criticality Conditions for Anomalous Dimensions using Exact Results in an $\mathcal{N}=1$ Supersymmetric Gauge Theory
• Vacuum Alignment with more Flavors