A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
arXiv:hep-th/0602229 · doi:10.1142/S0217751X06033040
Abstract
Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU(N) Yang-Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the beta function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these non-universal contributions is done in an entirely diagrammatic fashion.
arXiv comment128 pages, 89 figures; v2: published in ijmpa - intro extended, refs added, refinements and minor corrections made; v3 small corrections made compared to published version
References in corpus (45)
- Exact evolution equation for the effective potential
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Infrared behaviour and fixed points in Landau gauge QCD
- Lectures on the functional renormalization group method
- Nonperturbative renormalization group approach to frustrated magnets
- Elements of the Continuous Renormalization Group
- Flow Equations and BRS Invariance for Yang-Mills Theories
- Running coupling in Yang-Mills theory - a flow equation study -
- Renormalization flow of Yang-Mills propagators
- Flow Equations for Yang-Mills Theories in General Axial Gauges
- Wilsonian flows and background fields
- Phase Diagram of Superconductors from Non-Perturbative Flow Equations
- A gauge invariant exact renormalization group I
- Gauge Invariance, the Quantum Action Principle, and the Renormalization Group
- Gluon Condensation in Nonperturbative Flow Equations
- Gauge invariance and background field formalism in the exact renormalisation group
- BRS symmetry for Yang-Mills theory with exact renormalization group
- Renormalisation group flows for gauge theories in axial gauges
- Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
- The Heavy Quark Potential from Wilson's Exact Renormalization Group
- The Price of an Exact, Gauge-Invariant RG-Flow Equation
- A Manifestly Gauge Invariant, Continuum Calculation of the SU(N) Yang-Mills two-loop beta function
- A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
- Non-Perturbative Renormalization Group Analysis of the Chiral Critical Behaviors in QED
- Classical-to-critical crossovers from field theory
- PHASE TRANSITION OF N-COMPONENT SUPERCONDUCTORS
- Effective Quark Interactions and QCD-Propagators
- Exact scheme independence at two loops
- Gauge invariant regularisation via SU(N|N)
- Exact scheme independence at one loop
- Geometrical effective action and Wilsonian flows
- Gauge Consistent Wilson Renormalization Group I: Abelian Case
- Scheme Independence to all Loops
- Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case
- Confinement, Monopoles and Wilsonian Effective Action
- Scheme independence as an inherent redundancy in quantum field theory
- Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes
- General Computations Without Fixing the Gauge
- A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills
- The Manifestly Gauge Invariant Exact Renormalisation Group
- Monopole Condensation and Antisymmetric Tensor Fields: Compact QED and the Wilsonian RG Flow in Yang-Mills Theories
- Infrared singularities in the renormalization group flow of Yang-Mills theories in the axial gauge
- On the Consistency of the Exact Renormalization Group Approach Applied to Gauge Theories in Algebraic Non-Covariant Gauges
- Confinement and Mass Gap in Abelian Gauge
- Background field method in the Wilson formulation
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- Aspects of the Functional Renormalisation Group
- The nonperturbative functional renormalization group and its applications
- Fundamentals of the Exact Renormalization Group
- Chiral phase boundary of QCD at finite temperature
- Quantum gravity: a fluctuating point of view
- On the Functional Renormalization Group approach for Yang-Mills fields
- A Generalised Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
- Manifestly diffeomorphism invariant classical Exact Renormalization Group
- Triviality from the Exact Renormalization Group
- Virtual Compton Scattering off a Spinless Target in AdS/QCD
- General Computations Without Fixing the Gauge
- Universality From Very General Nonperturbative Flow Equations in QCD
- On the Renormalization of Theories of a Scalar Chiral Superfield
- A Resummable beta-Function for Massless QED
- Gauge Invariant Cutoff QED
- Conformal anomaly from gauge fields without gauge fixing
- Properties of a proposed background independent exact renormalization group
- Ground-state wave-functional in (2+1)-dimensional Yang-Mills theory: Abelian limit, spectrum and robustness
- Sensitivity of Nonrenormalizable Trajectories to the Bare Scale