Renormalization defines a gauge-invariant mass function at every virtuality in gauge theories.
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Proposes strong and weak deformation cutoff regularizations for Yang-Mills theory using quasi-local probabilistic averaging and analyzes singular contributions to the first two quantum corrections plus new counter-vertices for consistency after renormalization.
Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.
An introductory review of renormalisation procedures, the renormalisation group, and scale-setting optimisation in gauge theories such as QCD.
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Pion off-shell form factors
Calculates off-shell pion electromagnetic form factors in Bethe-Salpeter formalism with separable kernel, verifies Ward-Takahashi identity, and compares cross section to data.