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4 votes
0 answers
109 views

Justification for the derivative expansion in the Exact Renormalization Group

In the Exact Renormalization Group formalism, specifically the formalism of Wetterich, one writes down an evolution equation for the effective average action $\Gamma_k[\varphi]$, see f.ex $$ \...
Martin Johnsrud's user avatar
2 votes
2 answers
502 views

Locality of interactions and their high energy behavior

In a classic Georgi review of EFT, I have read the following quote The result of eliminating heavy particles is inevitably a nonrenormalizable theory, in which the nontrivial effects of the heavy ...
GaloisFan's user avatar
  • 1,742
1 vote
0 answers
114 views

Renormalization of non-local product of operators

In Unraveling hadron structure with generalized parton distributions by Belitsky and Radyushkin, appendix G, eq. (G.47) it is said that for renormalization of an on-local product of operators such as ...
Vicky's user avatar
  • 1,597
6 votes
1 answer
709 views

Argyres-Douglas CFT

Adding of mass in supersymmetric gauge theories will affect structure of moduli space by creating new singular point (picture and some statements from Matteo Bertolini: Lectures on Supersymmetry): ...
Nikita's user avatar
  • 5,707
1 vote
1 answer
203 views

Fractional derivatives in a QFT Lagrangian

There are is at least one question asking about fractional powers of fields in QFT (and why they're not expected to occur), and several others asking about the physical relevance of fractional ...
Alex Meiburg's user avatar
2 votes
0 answers
164 views

Non-local field theory (of Jaffe type) vs strings

As it is well known expectation values of fields are distributions. One usually works with tempered distributions or even with Jaffe fields (https://doi.org/10.1103/PhysRev.158.1454), all defining ...
TwoBs's user avatar
  • 5,034
1 vote
1 answer
523 views

What exactly are the high energy problems between general relativity and quantum field theory? [duplicate]

I know there are many questions on physics stack exchange devoted to the question of quantum gravity and reconciling GR and QFT, but don't mark this as a duplicate because my question is a bit more ...
QFTUNIverse's user avatar
3 votes
1 answer
589 views

Local and non-local counterterms in the ultraviolet and infrared limits of a quantum field theory

These is a question about the renormalization of a quantum field theory. See below equation (19.3) in page 176 of Thomas Hartman's notes on Quantum Gravity and Black Holes. When we renormalize a ...
nightmarish's user avatar
  • 3,203