Operator Cutoff Regularization and Renormalization Group in Yang-Mills Theory

Abstract

We derive a manifestly gauge invariant low energy blocked action for Yang-Mills theory using operator cutoff regularization, a prescription which renders the theory finite with a regulating smearing function constructed for the proper-time integration. By embedding the momentum cutoff scales in the smearing function, operator cutoff formalism allows for a direct application of Wilson-Kadanoff renormalization group to Yang-Mills theory in a completely gauge symmetry preserving manner. In particular, we obtain a renormalization group flow equation which takes into consideration the contributions of higher dimensional operators and provides a systematic way of exploring the influence of these operators as the strong coupling, infrared limit is approached.

36 pages in plain TeX, no figures

References in corpus (10)

• On the Connection Between Momentum Cutoff and Operator Cutoff Regularizations
• Gauge Invariance, the Quantum Action Principle, and the Renormalization Group
• BRS symmetry for Yang-Mills theory with exact renormalization group
• Consistency of the Regularization of Gauge Theories by High Covariant Derivatives
• Higher covariant derivative Pauli-Villars regularization does not lead to a consistent QCD
• Renormalization Group Approach to Field Theory at Finite Temperature
• Dimensional Crossover and Effective Exponents
• A Non-Abelian Variation on the Savvidy Vacuum of the Yang-Mills Gauge Theory
• A Lattice Simulation of the SU(2) Vacuum Structure
• Unitarity violation in non-abelian Pauli-Villars regularization

Cited by in corpus (43)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• Exact Renormalization Group Equations. An Introductory Review
• Introduction to the functional RG and applications to gauge theories
• The Phase Diagram of the Quark-Meson Model
• Running coupling in Yang-Mills theory - a flow equation study -
• Proper Time Flow Equation for Gravity
• Completeness and consistency of renormalisation group flows
• Wilsonian flows and background fields
• Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
• Renormalisation group flows for gauge theories in axial gauges
• Perturbation theory and renormalisation group equations
• Optimization of Renormalization Group Flow
• Predictive power of renormalisation group flows: a comparison
• Universality and the Renormalisation Group
• Proper time regulator and Renormalization Group flow
• Spontaneous Symmetry Breaking and Proper-Time Flow Equations
• A curvature bound from gravitational catalysis
• Scaling functions for the O(4)-model in d=3 dimensions
• Perturbative and non-perturbative aspects of the proper time renormalization group
• Two-Loop Cutoff Renormalization of 4-D Yang-Mills Effective Action
• A curvature bound from gravitational catalysis in thermal backgrounds
• Regular Black Holes from Proper-Time flow in Quantum Gravity and their Quasinormal modes, Shadow and Hawking radiation
• Exact renormalization group study of fermionic theories
• A new functional flow equation for Einstein-Cartan quantum gravity
• Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case
• Formula for two-loop divergent part of 4-D Yang-Mills effective action
• Towards Functional Flows for Hierarchical Models
• Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
• Explicit Cutoff Regularization in Coordinate Representation
• Momentum Space Entanglement from the Wilsonian Effective Action
• Scheme Independence of Blocking Transformation in Finite-Temperature Renormalization Group
• Note on triangle anomaly with improved momentum cutoff
• Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
• Boost invariant regulator for field theories
• Thermal Renormalization Group-Equations and the Phase-Transition of Scalar O(N)-Theories
• Path integral regularization of QED by means of Stueckelberg fields
• Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions
• Approximate solutions in scalar and fermionic theories within the exact renormalization group approach
• On the regularization of Lifshitz-type field theories
• Summation of power singularities
• Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory