Implicit Regularization and Renormalization of QCD
arXiv:hep-th/0509102 · doi:10.1007/s10773-006-9045-z
Abstract
We apply the Implicit Regularization Technique (IR) in a non-abelian gauge theory. We show that IR preserves gauge symmetry as encoded in relations between the renormalizations constants required by the Slavnov-Taylor identities at the one loop level of QCD. Moreover, we show that the technique handles divergencies in massive and massless QFT on equal footing.
(11 pages, 2 figures)
References in corpus (15)
- When radiative corrections are finite but undetermined
- Chiral Anomaly and CPT invariance in an implicit momentum space regularization framework
- Techniques for one-loop calculations in constrained differential renormalization
- Consistency Relations for an Implicit n-dimensional Regularization Scheme
- Consistency in Regularizations of the Gauged NJL Model at One Loop Level
- Differential Renormalization of Massive Quantum Field Theories
- Regularization in the Gauged Nambu--Jona-Lasinio Model
- Consistent Momentum Space Regularization/Renormalization of Supersymmetric Quantum Field Theories: The 3-loop beta function for the Wess-Zumino Model
- Comparing Implicit, Differential, Dimensional and BPHZ Renormalisation
- Supergravity corrections to in differential renormalization
- A Comprehensive Coordinate Space Renormalization of Quantum Electrodynamics to 2-Loop Order
- A Comment on the Relationship Between Differential and Dimensional Renormalization
- Differential Regularization of Chern-Simons-Maxwell Spinor and Scalar Electrodynamics
- A New Prediction for Direct CP Violation ε'/εand ΔI = 1/2 Rule
- Constrained Differential Renormalization of Yang-Mills Theories
Cited by in corpus (25)
- To , or not to : Recent developments and comparisons of regularization schemes
- Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
- May the four be with you: Novel IR-subtraction methods to tackle NNLO calculations
- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- Systematic Implementation of Implicit Regularization for Multi-Loop Feynman Diagrams
- Quantum gravitational contributions to the beta function of quantum electrodynamics
- 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
- 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
- Systematization of Basic Divergent Integrals in Perturbation Theory and Renormalization Group Functions
- Supergravity corrections to the factor by Implicit Regularization
- On the equivalence between Implicit Regularization and Constrained Differential Renormalization
- Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
- Two-loop renormalisation of gauge theories in Implicit Regularisation and connections to dimensional methods
- Guises and Disguises of Quadratic Divergences
- Implicit regularization beyond one loop order: scalar field theories
- A brief review of Implicit Regularization and its connection with the BPHZ theorem
- Naturalness and theoretical constraints on the Higgs boson mass
- Multiloop calculations with Implicit Regularization in massless 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
- Dimensional schemes for cross sections at NNLO