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Gauge invariance of fermion masses in extended-technicolor theories

It has recently been argued that, in technicolor theories, large quark and lepton masses can arise if the extended-technicolor (ETC) interactions play an important direct role in chiral-symmetry breaking. This happens when the ETC coupling is sufficiently close to a critical value. The analysis that...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1991-02, Vol.43 (3), p.R646-R650
Main Authors: APPELQUIST, T, MAHANTA, U, NASH, D, WIJEWARDHANA, L. C. R
Format: Article
Language:English
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Summary:It has recently been argued that, in technicolor theories, large quark and lepton masses can arise if the extended-technicolor (ETC) interactions play an important direct role in chiral-symmetry breaking. This happens when the ETC coupling is sufficiently close to a critical value. The analysis that led to these conclusions was based on the study of the renormalization-group-improved ladder Dyson-Schwinger equation. In this paper we investigate the gauge invariance of this ETC-driven fermion-mass enhancement. We show that the critical curve in the ETC, technicolor coupling plane, separating the symmetric and symmetry-breaking phases, is gauge invariant. We then show that the same is true for fermion-mass enhancement.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.43.R646