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Gauge invariance and background field formalism in the exact renormalisation group

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arxiv hep-th/0009110 v2 pith:BSMAH3VL submitted 2000-09-14 hep-th

Filipe Freire , Daniel F. Litim , Jan M. Pawlowski This is my paper · ORCID
classification hep-th
keywords gaugefieldbackgroundactioneffectiveformalismsymmetryauxiliary
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss gauge symmetry and Ward-Takahashi identities for Wilsonian flows in pure Yang-Mills theories. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under gauge transformations for both the gauge field and the auxiliary background field are separately evaluated. We examine how the symmetry properties of the full theory are restored in the limit where the cut-off is removed.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Fermions and the Renormalisation Group at Large N

    hep-th 2025-02 conditional novelty 7.0 of 10

    At large N, fermionic quantum field theories have exact effective actions depending only on flavour-singlet fermion bilinears, making the local potential approximation exact and yielding new conformal fixed points.

  2. Spectral Functions of Lorentzian Quantum Gravity

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Spectral functions for graviton and scalar graviton modes are derived in Lorentzian asymptotically safe quantum gravity via adapted FRG flow equations, yielding normalisable results consistent with infrared effective theory.

  3. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

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