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Renormalization and conformal invariance of non-local quantum electrodynamics
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Renormalization and conformal invariance of non-local quantum electrodynamics
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We study renormalization group flow in a non-local version of quantum electrodynamics (QED). We determine the regime in which the theory flows to a local theory in the infrared and study a possible UV completion of four-dimensional QED. In addition, we find that there exist non-local conformal theories with a one-dimensional conformal manifold and non-local deformations of QED in three dimensions that are exactly marginal. Along the way we develop methods for coupling non-local derivatives to external sources and discuss unitarity and conformal vs. scale invariance of these theories.
Forward citations
Cited by 2 Pith papers
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Landau-Khalatnikov-Fradkin Transformations in Reduced Quantum Electrodynamics: Perturbative and Nonperturbative Dynamics of the Fermion Propagator
LKF transformations give all-order gauge-transformed fermion propagators in RQED, with ξ=1/3 eliminating one-loop leading logs and numerical checks confirming gauge-invariant condensate and pole mass.
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Systematic Analytic Regularization in $\varphi^4$ and Yukawa Theories
SAR regularizes φ⁴ and Yukawa theories at NLO by analytically continuing the power of the kinetic operator in the action.
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