Standard model gauge anomaly cancellation

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Discussion Overview

The discussion centers on the gauge anomaly cancellations in the standard model of particle physics, specifically exploring the algebraic constraints related to the number of fermions per generation and the values of electroweak charges. The scope includes theoretical aspects and references to literature that may provide further insights.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant notes the subtlety of gauge anomaly cancellations in the standard model and seeks a summary of relevant algebraic constraints.
  • Another participant suggests consulting Weinberg's "Quantum Field Theory" Vol II, particularly Chapter 22, for constraints related to the standard model.
  • A third participant expresses gratitude for the information provided.
  • Additional resources are shared, including links to lecture notes and papers that discuss anomalies and their implications in detail.

Areas of Agreement / Disagreement

Participants appear to agree on the relevance of the algebraic constraints in understanding gauge anomaly cancellations, but no consensus on a singular source or summary is established, as multiple references are provided.

Contextual Notes

The discussion references specific chapters and pages from various texts and papers, indicating a reliance on external sources for detailed information. There may be limitations in the completeness of the summaries provided, as well as potential variations in interpretations of the constraints discussed.

Who May Find This Useful

This discussion may be useful for students and researchers interested in theoretical physics, particularly those studying gauge theories, the standard model, and anomaly cancellation mechanisms.

tom.stoer
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There are quite subtle gauge anomaly cancellations in the standard model.

Does anybody know a good summary about the algebraic constraints for number of fermions per generation, value of electroweak charges, etc.?
 
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tom.stoer said:
Does anybody know a good summary about the algebraic constraints for number of fermions per generation, value of electroweak charges, etc.?
Weinberg, QFT Vol II, all of Chapter 22.
(To the extent that anything written by Weinberg may be called a "summary". :smile:)

In particular, pp.385-386 lists constraints for the Standard Model.
 
thanks
 

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