Background Effective Action with Nonlinear Massive Gauge Fixing
arXiv:2205.06707 · doi:10.1103/PhysRevD.106.116013
Abstract
We combine a recent construction of a BRST-invariant, nonlinear massive gauge fixing with the background field formalism. The resulting generating functional preserves background-field invariance as well as BRST invariance of the quantum field manifestly. The construction features BRST-invariant mass parameters for the quantum gauge and ghost fields. The formalism employs a background Nakanishi-Lautrup field which is part of the nonlinear gauge-fixing sector and thus should not affect observables. We verify this expectation by computing the one-loop effective action and the corresponding beta function of the gauge coupling as an example. The corresponding Schwinger functional generating connected correlation functions acquires additional one-particle reducible terms that vanish on shell. We also study off-shell one-loop contributions in order to explore the consequences of a nonlinear gauge fixing scheme involving a background Nakanishi-Lautrup field. As an application, we show that our formalism straightforwardly accommodates nonperturbative information about propagators in the Landau gauge in the form of the so-called decoupling solution. Using this nonperturbative input, we find evidence for the formation of a gluon condensate for sufficiently large coupling, whose scale is set by the BRST-invariant gluon mass parameter.
arXiv comment24 pages, 3 figures
References in corpus (81)
- Exact evolution equation for the effective potential
- The Exact Renormalisation Group and Approximate Solutions
- Aspects of the Functional Renormalisation Group
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- On the infrared behavior of Landau gauge Yang-Mills theory
- Pinch Technique: Theory and Applications
- Flow Equations for N Point Functions and Bound States
- Fundamentals of the Exact Renormalization Group
- Landau gauge Yang-Mills correlation functions
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Infrared propagators of Yang-Mills theory from perturbation theory
- On the IR behaviour of the Landau-gauge ghost propagator
- Flow Equations and BRS Invariance for Yang-Mills Theories
- An Infrared Safe perturbative approach to Yang-Mills correlators
- Gluon mass generation in the PT-BFM scheme
- Running coupling in Yang-Mills theory - a flow equation study -
- En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions
- Towards the infrared limit in SU(3) Landau gauge lattice gluodynamics
- Renormalization flow of Yang-Mills propagators
- Power corrections to alpha_s(M_τ),|V_{us}| and m_s
- Quantum gravity: a fluctuating point of view
- The Pinch Technique to All Orders
- On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
- Gauge Invariance, the Quantum Action Principle, and the Renormalization Group
- Practical Algebraic Renormalization
- Gluon Condensation in Nonperturbative Flow Equations
- Gauge invariance and background field formalism in the exact renormalisation group
- Towards a renormalizable standard model without fundamental Higgs scalar
- An Addendum to the Heisenberg-Euler effective action beyond one loop
- Deconfinement transition in SU(N) theories from perturbation theory
- Two-point correlation functions of QCD in the Landau gauge
- Renormalization group flow for SU(2) Yang-Mills theory and gauge invariance
- Correlation functions of Landau gauge Yang-Mills theory
- The Heavy Quark Potential from Wilson's Exact Renormalization Group
- Is the QCD ghost dressing function finite at zero momentum ?
- Stability and renormalization of Yang-Mills theory with Background Field Method: a regularization independent proof
- Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
- How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
- On the Functional Renormalization Group approach for Yang-Mills fields
- The dynamical equation of the effective gluon mass
- Renormalization of Non-Semisimple Gauge Models with the Background Field Method
- Background independent exact renormalization group for conformally reduced gravity
- The background scale Ward identity in quantum gravity
- A Generalised Manifestly Gauge Invariant Exact Renormalisation Group for SU(N) Yang-Mills
- 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
- Yang-Mills correlators at finite temperature: A perturbative perspective
- Manifestly Gauge Invariant QCD
- A proposal for a manifestly gauge invariant and universal calculus in Yang-Mills theory
- Gauge-invariant fields and flow equations for Yang-Mills theories
- An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian
- Further comments on the background field method and gauge invariant effective actions
- Gauge invariant regularisation via SU(N|N)
- One-particle reducible contribution to the one-loop spinor propagator in a constant field
- Functional renormalization group approach and gauge dependence in gravity theories
- Background Scale Independence in Quantum Gravity
- Background field method and nonlinear gauges
- Algebraic Aspects of the Background Field Method
- Infrared finite ghost propagator in the Feynman gauge
- Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
- Yang-Mills propagators in linear covariant gauges from Nielsen identities
- Covariant and background independent functional RG flow for the effective average action
- Zero modes, beta functions and IR/UV interplay in higher-loop QED
- Exact Symmetries realized on the Renormalized Group Flow
- Covariant and single-field effective action with the background-field formalism
- On the construction of QED using ERG
- Renormalization group flows of the N-component Abelian Higgs model
- Reducible contributions to quantum electrodynamics in external fields
- Background independent exact renormalisation
- Gauge Invariant Regularization in the AdS/CFT Correspondence and Ghost D-branes
- Quantum Master Equation for QED in Exact Renormalization Group
- Gauge invariance, background fields and modified Ward identities
- BRST invariant RG flows
- On Gauge Invariance and Ward Identities for the Wilsonian Renormalisation Group
- Functional flows in QED and the modified Ward-Takahashi identity
- Effective action for the order parameter of the deconfinement transition of Yang-Mills theories
- On chromoelectric (super)conductivity of the Yang-Mills vacuum
- Gauge Invariant Cutoff QED
- Gauge dependence of effective action and renormalization group functions in effective gauge theories