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Pauli–Villars regularization

In theoretical physics, Pauli–Villars regularization (P–V) is a procedure that isolates divergent terms from finite parts in loop calculations in field theory in order to renormalize the theory. Wolfgang Pauli and Felix Villars published the method in 1949, based on earlier work by Richard Feynman, Ernst Stueckelberg and Dominique Rivier.

Examples
Pauli–Villars regularization consists of introducing a fictitious mass term. For example, we would replace a photon propagator \frac{1}{k^2 + i \epsilon} , by \frac{1}{k^2 + i \epsilon} - \frac{1}{k^2 - \Lambda^2+ i \epsilon} , where \Lambda can be thought of as the mass of a fictitious heavy photon, whose contribution is subtracted from that of an ordinary photon. == See also ==
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