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New Constraints on Chiral Gauge Theories
High Energy Physics - Theory · Submitted 26 Apr 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim For some models we find that it is always satisfied, while for others we find that the assumption of the validity of the inequality implies a strong additional restriction on the spectrum of massless composite particles.
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The abstract, sentence by sentence
Recently, a new constraint on the structure of a wide class of strongly coupled field theories has been proposed. It takes the form of an inequality limiting the number of degrees of freedom in the infrared description of a theory to be no larger than the number of underlying, ultraviolet degrees of freedom. Here we apply this inequality to chiral gauge theories. For some models we find that it is always satisfied, while for others we find that the assumption of the validity of the inequality implies a strong additional restriction on the spectrum of massless composite particles.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Recently, a new constraint on the structure of a wide class of strongly coupled field theories has been proposed. | background 1.00 | 0.04 | 0.05 | asserted 1.00 |
| s1 | It takes the form of an inequality limiting the number of degrees of freedom in the infrared description of a theory to be no larger than the number of underlying, ultraviolet degrees of freedom. | background 0.99 | 0.05 | 0.09 | asserted 0.99 |
| s2 | Here we apply this inequality to chiral gauge theories. | contribution 0.90 | 0.91 | 0.04 | asserted 0.91 |
| s3 | For some models we find that it is always satisfied, while for others we find that the assumption of the validity of the inequality implies a strong additional restriction on the spectrum of massless composite particles. | result 0.98 | 0.95 | 0.76 | asserted 1.00 |
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The paper
Original abstract
Recently, a new constraint on the structure of a wide class of strongly coupled field theories has been proposed. It takes the form of an inequality limiting the number of degrees of freedom in the infrared description of a theory to be no larger than the number of underlying, ultraviolet degrees of freedom. Here we apply this inequality to chiral gauge theories. For some models we find that it is always satisfied, while for others we find that the assumption of the validity of the inequality implies a strong additional restriction on the spectrum of massless composite particles.
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References
How the literature uses it
17 arXiv papers cite this in 25 sentences
Papers citing it · 17 sentences without a confident label
Compares with it 2 papers
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Here we confront the results obtained in Ref. [ref] using the thermal degree of count freedom with the generalization of the all orders beta function useful to constrain these extremely interesting phase diagrams.
Conformal Dynamics for TeV Physics and Cosmology · Phases of Chiral Gauge Theories · 0.98
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This inequality is somewhat reminiscent, but not equivalent, to the inequality $d(p T^-4)/dT=θ/T^5>0$ conjectured in Ref. [ref] and the weaker constraint $∫ dT θ/T^5 >0$ proposed in Refs. [ref] .
Holography and the speed of sound at high temperatures · Introduction · 0.93
Cites it as background 6 papers
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In Table [ref], we recognize renown examples of chiral theories: the Georgi-Glashow ones based on fundamental and two-index antisymmetric starting with $(5)$ [ref] and the Bars-Yankielowicz ones based on fundamental and two-index symmetric starting with $(3)$ [ref] .
Grand-unification Theory Atlas: Standard Model and Beyond · Introduction · 0.88
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In the case of the Georgi-Glashow model studied in [ref] , the matter fermions are χ_[ij] , η̃^B j , B=1,2,…, (N-4) , or 1 (̅1̅,̅1̅)̅ ⊕(N-4) (1) .
Natural Anomaly Matching · Georgi-Glashow ($(N_ψ,N_χ) = (0,1)$) model · 0.80
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They go under the names of Bars-Yankielowicz (BY) [ref] and generalised Georgi-Glashow (GG) [ref] theories.
Large $N_f$ for multiple representations · Chiral gauge theories: generalised Georgi-Glashow and Bars-Yankielowicz models · 0.98
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