pines-demon
Gold Member
2024 Award
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- TL;DR Summary
- How do I think of Pauli–Villars regularization as ghosts?
I understand how to regularize the integrals in a electron vertex function using Pauli–Villars regularization, however in books like Schwartz this is seen as having introduced some "ghosts fields". How do I get that idea? When writing in that vertex function
$$\frac{1}{k^2-m^2}\to\frac{1}{k^2-m^2}-\frac{1}{k^2-M^2}$$
for some large ghost mass ##M##. How do I understand the inclusion of these particles?
Is it that the electron is taken as a ghost particle during renormalization? or is the right side some new fermion that can be added/substracted to the propagator somehow? How does the Feynman diagram change? Do they modify the Lagrangian?
$$\frac{1}{k^2-m^2}\to\frac{1}{k^2-m^2}-\frac{1}{k^2-M^2}$$
for some large ghost mass ##M##. How do I understand the inclusion of these particles?
Is it that the electron is taken as a ghost particle during renormalization? or is the right side some new fermion that can be added/substracted to the propagator somehow? How does the Feynman diagram change? Do they modify the Lagrangian?