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Results tagged with dimensional-regularization
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user 71434
Dimensional regularization is a method of isolating divergencies in scattering amplitudes.
2
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Schroeder's Minkowski Space Integral - Concerns about Wick Rotations
In the Appendix of Peskin & Schroeder's "An Introduction to Quantum Field Theory" there is a list of integrals in Minkowski space. Of particular interest to me is the integral (A.44):
$$
I(\Delta) = \ …
- 3,764
3
votes
1
answer
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This One-Loop diagram for $\phi^{4}$ theory - renormalization and going to position space
This is somewhat related to an earlier question I asked about the following diagram in $\phi^{4}$ theory:
I've been following these lecture notes by H. Kleinert and V. Schulte-Frohlinde.
Saying we …
- 3,764
4
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2
answers
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Massive versus Massless $\phi^4$ Sunset Diagram - does $\frac{1}{\epsilon^2}$ term vanish fo...
In a real scalar massive $\phi^4$-interacting theory consider the amputated sunset diagram. This is the integral out of Kleinert and Schulte-Frohlinde Critical Properties of $\phi^4$-Theories:
The a …
- 3,764
7
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2
answers
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$\phi^{4}$ Propagator - Feynman Diagram: internal vertex that loops back to itself
In all that follows I'll be dealing with everything massless.
The free, massless propagator ($\mathcal{L} = \int d^{4}x \left(\partial \phi(x) \right)^{2} $) is supposedly given by $G_{0}(x,y) = c (x …
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