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FIZIKA B 10 (2001) 2, 73-82
REALISTIC REGULARIZATION OF THE QED GREEN FUNCTIONS
MARIJAN RIBARI� and LUKA �U�TER�I�
Corresponding author; Phone +386 1 477 3258; fax +386 1 423 1569
electronic address: [email protected]
Jozef Stefan Institute, p.p. 3000, 1001 Ljubljana, Slovenia
Received 4 October 2000; revised manuscript received 8 May 2001
Accepted 5 September 2001
Generalizing the 't Hooft and Veltman method of unitary regulators, we demonstrate for
the first time the existence of local, Lorentz-invariant, physically motivated Lagrangians
of quantum-electrodynamic phenomena such that: (i) Feynman diagrams are finite and
equal the diagrams of QED but with regularized propagators. (ii) n-point Green
functions are C-, P- and T-invariant up to a phase factor, Lorentz-invariant and causal.
(iii) No auxiliary particles or parameters are introduced.
PACS numbers: 12.20.-m, 11.10.Gh
UDC 537.8, 538.11
Keywords: quantum-electrodynamic Lagrangians, 't Hooft-Veltman method of unitary
regulators, regularized propagators, causal n-point Green functions, S-matrix
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