Consistent Momentum Space Regularization/Renormalization of Supersymmetric Quantum Field Theories: The 3-loop beta function for the Wess-Zumino Model

Abstract

We compute the three loop $\beta$ function of the Wess-Zumino model to motivate implicit regularization (IR) as a consistent and practical momentum-space framework to study supersymmetric quantum field theories. In this framework which works essentially in the physical dimension of the theory we show that ultraviolet are clearly disantangled from infrared divergences. We obtain consistent results which motivate the method as a good choice to study supersymmetry anomalies in quantum field theories.

9 pages, 6 figures, RevTeX

References in corpus (4)

• Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
• Regularization and supersymmetry-restoring counterterms in supersymmetric QCD
• The beta function of N=1 SYM in Differential Renormalization
• Comparing Implicit, Differential, Dimensional and BPHZ Renormalisation

Cited by in corpus (26)

• To $d$, or not to $d$: Recent developments and comparisons of regularization schemes
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• Cutoff-independent regularization of four-fermion interactions for color superconductivity
• Implicit Regularization and Renormalization of QCD
• Quantum gravitational contributions to the beta function of quantum electrodynamics
• Extension of the Nambu--Jona-Lasinio model at high densities and temperatures by using an implicit regularization scheme
• Regularization Independent Analysis of the Origin of Two Loop Contributions to N=1 Super Yang-Mills Beta Function
• Implicit regularization beyond one loop order: gauge field theories
• Dimensional regularization vs methods in fixed dimension with and without ${\gamma }_5$
• Arbitrary parameters in implicit regularization and democracy within perturbative description of 2-dimensional gravitational anomalies
• Momentum routing invariance in Feynman diagrams and quantum symmetry breakings
• ${\gamma }_5$ algebra ambiguities in Feynman amplitudes: momentum routing invariance and anomalies in $D=4$ and $D=2$
• Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions
• On the equivalence between Implicit Regularization and Constrained Differential Renormalization
• Supergravity corrections to the $(g-2{)}_l$ factor by Implicit Regularization
• The Role of hidden ambiguities in the Linear Sigma Model with fermions
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• Renormalization of Supersymmetric Field Theories in Loop Regularization with String-mode Regulators
• Guises and Disguises of Quadratic Divergences
• Subtleties in the beta function calculation of N=1 supersymmetric gauge theories
• A step towards a consistent treatment of chiral theories at higher loop order: the abelian case
• Implicit regularization beyond one loop order: scalar field theories
• Higgs boson decay into gluons in a 4D regularization: IR cancellation without evanescent fields to NLO
• Advances towards the systematization of calculations with Implicit Regularization
• Infrared Subtleties and Chiral Vertices at NLO: An Implicit Regularization Analysis