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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.

1 vote

Dimensional analysis of the Lagrangian

Dimensional analysis can provide a rough explanation. The scattering amplitudes are adimensional. The contribution from a Feynman diagram with $n$ ocurrences of a vertex is proportional to $g^n$ wher …
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3 votes

Can the Lagrangian of an effective field theory have higher derivative terms?

Yes, it can. In principle there isn't a reason not to include them. Of course, once we add them the theory will be different, just as it happens when you add any other type of higher dimensional opera …
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3 votes

Why doesn't renormalization with a Planck-scale cutoff work for quantum gravity?

Gravity is in fact an effective quantum field theory with the energy cut-off being the Planck scale $M_{Pl}$. The Einstein-Hilbert action is just the lowest order in an expansion in inverse powers of …
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2 votes

Are non-renormalizable theories less predictive than renormalizable theories?

The effective lagrangian is usually written as an expansion in inverse powers of the energy cut-off $\Lambda$. That means that observables at some energy $E$ will be computed as the first terms of an …
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14 votes
Accepted

What is wrong with a nonrenormalizable theory?

In the modern effective field theory point of view, there's nothing wrong with non-renormalizable theories. In fact, one may prefer a non-renormalizable theory inasmuch they tell you the point at whi …
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2 votes
Accepted

Why and how does the soft breaking of symmetry protect the mass of pseudo Nambu-Goldstone bo...

For marginal operators, a general answer can't be given, as the renormalization group behavior depends on the particular case. …
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