Asymptotic freedom in certain SO(N) and SU(N) models

We calculate the β-functions for SO(N) and SU(N) gauge theories coupled to adjoint and fundamental scalar representations, correcting longstanding, previous results. We explore the constraints on N resulting from requiring asymptotic freedom for all couplings. When we take into account the actual al...

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Veröffentlicht in:	Physical review. D 2017-09, Vol.96 (5)
Hauptverfasser:	Einhorn, Martin B, Jones, D R Timothy
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Couplings Nobel prizes Quarks
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container_title	Physical review. D
container_volume	96
creator	Einhorn, Martin B Jones, D R Timothy
description	We calculate the β-functions for SO(N) and SU(N) gauge theories coupled to adjoint and fundamental scalar representations, correcting longstanding, previous results. We explore the constraints on N resulting from requiring asymptotic freedom for all couplings. When we take into account the actual allowed behavior of the gauge coupling, the minimum value of N in both cases turns out to be larger than realized in earlier treatments. We also show that in the large N limit, both models have large regions of parameter space corresponding to total asymptotic freedom.
doi_str_mv	10.1103/PhysRevD.96.055035
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subjects	Asymptotic properties Couplings Nobel prizes Quarks
title	Asymptotic freedom in certain SO(N) and SU(N) models
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