Flow Equations for Yang-Mills Theories in General Axial Gauges
arXiv:hep-th/9802064 · doi:10.1016/S0370-2693(98)00761-8
Abstract
We present a formulation of non-Abelian gauge theories in general axial gauges using a Wilsonian (or 'Exact') Renormalisation Group. No 'spurious' propagator divergencies are encountered in contrast to standard perturbation theory. Modified Ward identities, compatible with the flow equation, ensure gauge invariance of physical Green functions. The axial gauge is shown to be a fixed point under the flow equation. Possible non-perturbative approximation schemes and further applications are outlined.
10 pages, latex, no figures, 3 equations added, references updated, to be published in Phys. Lett. B
Cited by in corpus (84)
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- Aspects of the Functional Renormalisation Group
- The nonperturbative functional renormalization group and its applications
- Fixed points of quantum gravity
- Exact Renormalization Group Equations. An Introductory Review
- Ultraviolet Fixed Point and Generalized Flow Equation of Quantum Gravity
- Quantum Einstein Gravity
- Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation
- Introduction to the functional RG and applications to gauge theories
- Fermion Interactions and Universal Behavior in Strongly Interacting Theories
- On the renormalization group flow of f(R)-gravity
- Lectures on the functional renormalization group method
- Further evidence for asymptotic safety of quantum gravity
- Is Quantum Einstein Gravity Nonperturbatively Renormalizable?
- Critical exponents from optimised renormalisation group flows
- Renormalisation group and the Planck scale
- Fixed points of quantum gravity in extra dimensions
- Event shapes in e+e- annihilation and deep inelastic scattering
- Asymptotic safety of gravity-matter systems
- Chiral phase boundary of QCD at finite temperature
- Towards apparent convergence in asymptotically safe quantum gravity
- One force to rule them all: asymptotic safety of gravity with matter
- Running coupling in Yang-Mills theory - a flow equation study -
- Asymptotic freedom of Yang-Mills theory with gravity
- Asymptotic safety of quantum gravity beyond Ricci scalars
- Universality of spontaneous chiral symmetry breaking in gauge theories
- Gravitational corrections to Yukawa systems
- Generalized Parametrization Dependence in Quantum Gravity
- Ghost anomalous dimension in asymptotically safe quantum gravity
- Completeness and consistency of renormalisation group flows
- Renormalization flow of Yang-Mills propagators
- Lectures on renormalization and asymptotic safety
- Aspects of asymptotic safety for quantum gravity
- Quantum gravity: a fluctuating point of view
- Upper bound on the Abelian gauge coupling from asymptotic safety
- Wilsonian flows and background fields
- A gauge invariant exact renormalization group I
- On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
- Chiral fermions in asymptotically safe quantum gravity
- Gauge invariance and background field formalism in the exact renormalisation group
- The Universal RG Machine
- Towards a renormalizable standard model without fundamental Higgs scalar
- The QCD Phase Boundary from Quark-Gluon Dynamics
- On the Phase Structure of Many-Flavor QED
- Asymptotically free scalar curvature-ghost coupling in Quantum Einstein Gravity
- Effective universality in quantum gravity
- Renormalisation group flows for gauge theories in axial gauges
- Background independence in a background dependent renormalization group
- Non-perturbative finite-temperature Yang-Mills theory
- Non-perturbative thermal flows and resummations
- Global solutions of functional fixed point equations via pseudo-spectral methods
- On the Functional Renormalization Group approach for Yang-Mills fields
- On gluon and ghost propagators in linear covariant gauges
- A Generalised Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
- Solving functional flow equations with pseudo-spectral methods
- An asymptotic safety scenario for gauged chiral Higgs-Yukawa models
- Asymptotic safety goes on shell
- Infinite order quantum-gravitational correlations
- Fixed Points of Quantum Gravity and the Renormalisation Group
- Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
- Charge cross-over at the U(1)-Higgs phase transition
- BRST in the Exact RG
- Functional Renormalisation for Quantum Gravity
- Asymptotically Safe QED
- A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills
- Nonabelian Higgs models: paving the way for asymptotic freedom
- QCD-inspired determination of NJL model parameters
- Gauge Consistent Wilson Renormalization Group II: Non-Abelian Case
- Renormalization group flows of the N-component Abelian Higgs model
- On the scaling of composite operators in Asymptotic Safety
- On Gauge Invariance and Ward Identities for the Wilsonian Renormalisation Group
- Abelian projected SU(2) Yang-Mills action for renormalisation group flows
- Asymptotic freedom in -Yukawa-QCD models
- On characterizing the Quantum Geometry underlying Asymptotic Safety
- Infrared singularities in the renormalization group flow of Yang-Mills theories in the axial gauge
- Renormalization Flow of Axion Electrodynamics
- On the Consistency of the Exact Renormalization Group Approach Applied to Gauge Theories in Algebraic Non-Covariant Gauges
- Fixed point structure of the Abelian Higgs model
- On General Axial Gauges for QCD
- Scale Dependent Metric and Minimal Length in QEG
- Loop integrals in three outstanding gauges: Feynman, Light-cone and Coulomb
- Anomalous Dimension of Dirac's Gauge-Invariant Nonlocal Order Parameter in Ginzburg-Landau Field Theory
- Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
- BRST, Ward identities, gauge dependence, and a functional renormalization group