Comments on gauge theories without anomalies

Research output: Contribution to journalReview article

Abstract

Anomaly-free gauge theories corresponding to "safe" simple Lie groups classified by Georgi and Glashow are further analyzed under the requirement that they contain no fractionally or doubly charged particles. It is found that orthogonal groups SO(N) can satisfy this restriction when the leptons transform as an irreducible "fundamental" representation of SO(N). For the symplectic groups Sp(2N), this is true if the lepton representation is the adjoint representation or the representation ρ2 defined below. If the leptons are to transform as the lowest-dimensional representation, it is necessary to consider product groups of the form Sp(2N)â-U(1). The exceptional group G2 is ruled out.

Original languageEnglish (US)
Pages (from-to)1924-1927
Number of pages4
JournalPhysical Review D
Volume7
Issue number6
DOIs
StatePublished - Jan 1 1973

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gauge theory
anomalies
leptons
constrictions
charged particles
requirements
products

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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title = "Comments on gauge theories without anomalies",
abstract = "Anomaly-free gauge theories corresponding to {"}safe{"} simple Lie groups classified by Georgi and Glashow are further analyzed under the requirement that they contain no fractionally or doubly charged particles. It is found that orthogonal groups SO(N) can satisfy this restriction when the leptons transform as an irreducible {"}fundamental{"} representation of SO(N). For the symplectic groups Sp(2N), this is true if the lepton representation is the adjoint representation or the representation ρ2 defined below. If the leptons are to transform as the lowest-dimensional representation, it is necessary to consider product groups of the form Sp(2N){\^a}-U(1). The exceptional group G2 is ruled out.",
author = "Murat G{\"u}naydin",
year = "1973",
month = "1",
day = "1",
doi = "10.1103/PhysRevD.7.1924",
language = "English (US)",
volume = "7",
pages = "1924--1927",
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Comments on gauge theories without anomalies. / Günaydin, Murat.

In: Physical Review D, Vol. 7, No. 6, 01.01.1973, p. 1924-1927.

Research output: Contribution to journalReview article

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AB - Anomaly-free gauge theories corresponding to "safe" simple Lie groups classified by Georgi and Glashow are further analyzed under the requirement that they contain no fractionally or doubly charged particles. It is found that orthogonal groups SO(N) can satisfy this restriction when the leptons transform as an irreducible "fundamental" representation of SO(N). For the symplectic groups Sp(2N), this is true if the lepton representation is the adjoint representation or the representation ρ2 defined below. If the leptons are to transform as the lowest-dimensional representation, it is necessary to consider product groups of the form Sp(2N)â-U(1). The exceptional group G2 is ruled out.

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