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Results tagged with renormalization
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user 257521
This tag is for questions which relates with the renormalization, an ensemble of techniques which serves to treat the infinities which appear in quantum field theory or statistical mechanics. Renormalization procedures are based on the requirement that certain physical quantities (such as the mass and charge of an electron) equal observed (experimental) values.
4
votes
0
answers
151
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Expansion of the $S$-operator and Normal Ordering
But the tutor said that if we would not normal order in the first place the terms we would get additionally would cancel with their counter terms in renormalization. …
- 2,236
5
votes
4
answers
393
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Why search for a renormalizable theory of quantum gravity?
I recently heard a talk at my university about the search for a renormalizable theory of quantum gravity. I then asked myself the following question:
Isn't the reason that we need to regularize and re …
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0
votes
Accepted
Yukawa decay at one-loop
One to renormalize the field and one for the mass-renormalization. … And since OP did not specify the theory OP is working in further, there is no relation between the renormalization of the coupling and the renormalization of the masses and fields.
So far so good. …
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3
votes
1
answer
210
views
Why are loop-induced processes finite without counter terms?
One property of loop induced processes is when you calculate the amplitude there are no counter terms from renormalization. Therefore the amplitude is "inherently finite", why? …
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1
vote
1
answer
242
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Resources for One-Loop Calculation in QED
I am recently trying to study the calculation on one-loop diagrams in QED. Since the most resources i found where rather cryptic since they where very very general i wanted to ask whether or not there …
7
votes
1
answer
400
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Asymptotic Series in QFT: What to do when all "trustworthy" terms are known?
In my Introduction to QFT lecture, we quantized a Klein-Gordon Field and as a toy model we looked at $\phi^3$ theory. For this toy model we expanded the $S = U(-\infty, \infty)$ operator in a series ( …
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0
votes
1
answer
228
views
Confusion about dimensional regularization
I am recently trying to understand dimensional regularization in the context of quantum field theory. So to solve an integral
$$
\int_{\mathbb R^d} \frac{\text d ^d p}{(2 \pi)^d} \frac{1}{(p^2 + m^2)^ …
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8
votes
Euler-Maclaurin formula for Casimir Effect
I want to add something to @Andrews answer. They gave a good answer which is technically correct, but I think there should be at least some things added to Trick 3.
In the present answer there are som …
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6
votes
Accepted
Where is the Yennie gauge useful in Gupta-Bleuer formalism (or QED in general)?
Well, the answer to your question is probably found the easiest in the
original article by Yennie, Frautschi and Suura
They found that the charge renormalization constant in QED is free of infrared divergencies …
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3
votes
Accepted
Massless tadpole integrals in dimensional regularization
Resources:
[1] "Renormalization", by J.C. Collins …
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2
votes
Accepted
Loop-Level Calculation and Renormalization Applied to a Real Interaction in QED
For a nice discussion on the one-loop renormalization of QED in the
on-shell scheme see for example "Gauge Theories of the Strong and Electroweak Interaction" by Böhm, Denner and Joos. …
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1
vote
Photon Mass Regulator in IR divergences
Well, I would say there are many different views on this particular technique in order to split-off IR-divergencies. If you take the "photon-mass"-regularization literally then you could introduce it …
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1
vote
Accepted
How does the on-shell (OS) scheme work if we assume mass to be zero?
Thus the field renormalization constant and the mass renormalization constant both vanish. …
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