Manifestly gauge invariant QED

Abstract

We uncover a method of calculation that proceeds at every step without fixing the gauge or specifying details of the regularisation scheme. Results are obtained by iterated use of integration by parts and gauge invariance identities. Calculations can be performed almost entirely diagrammatically. The method is formulated within the framework of an exact renormalisation group for QED. We demonstrate the technique with a calculation of the one-loop beta function, achieving a manifestly universal result, and without gauge fixing.

32 pages, Diagrams Fixed; version published in JHEP

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• Manifestly Gauge Invariant QCD
• Manifestly diffeomorphism invariant classical Exact Renormalization Group
• Impact of generalized Yukawa interactions on the lower Higgs mass bound
• BRST in the Exact RG
• Triviality from the Exact Renormalization Group
• Background independent exact renormalisation
• On the construction of QED using ERG
• General Computations Without Fixing the Gauge
• A Primer for Manifestly Gauge Invariant Computations in SU(N) Yang-Mills
• Universality From Very General Nonperturbative Flow Equations in QCD
• BRST invariant RG flows
• Wilsonian Renormalization of Noncommutative Scalar Field Theory
• On the Renormalization of Theories of a Scalar Chiral Superfield
• A Resummable beta-Function for Massless QED
• Conformal anomaly from gauge fields without gauge fixing
• Gradient Flow Exact Renormalization Group for Scalar Quantum Electrodynamics
• An Extension of Pohlmeyer's Theorem
• Sensitivity of Nonrenormalizable Trajectories to the Bare Scale