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Abstract Electron mass is considered as a matrix element of the energy–momentum trace in the rest frame. The one-loop diagrams for this matrix element are different from the textbook diagrams for the electron mass renormalization. We clarify connection between the two sets of diagrams and explain analytically and diagrammatically why the results of both calculations coincide.
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Different origins of running in the 2D CP(1) model
We revisit the computation of the beta function in the two-dimensional CP(1) sigma model. We show that in different schemes, different diagrams are responsible for the running, such as momentum- independent tadpoles or even UV-finite bubble diagrams. We also comment on the relation between the beta functions and the energy dependence of scattering amplitudes.
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- Award ID(s):
- 2310243
- PAR ID:
- 10613076
- Publisher / Repository:
- Phys Rev D
- Date Published:
- Journal Name:
- Physical Review D
- Volume:
- 110
- Issue:
- 9
- ISSN:
- 2470-0010
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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- Free Publicly Accessible Full Text
-
Accepted Manuscript1.0
- Journal Article:
- https://doi.org/10.1103/PhysRevD.110.096007
