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Phys. Rev. D 43, R646–R650 (1991)

Gauge invariance of fermion masses in extended-technicolor theories

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T. Appelquist
Center for Theoretical Physics and Department of Physics, Yale University, New Haven, Connecticut 06520

U. Mahanta*
Department of Physics, Purdue University, West Lafayette, Indiana 47907

D. Nash*
Department of Physics, University of Michigan, Ann Arbor, Michigan 48109

L. C. R. Wijewardhana*
Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221

Received 2 November 1990; published in the issue dated 1 February 1991

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.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.43.R646
DOI:
10.1103/PhysRevD.43.R646
PACS:

*Present address: Institute for Theoretical Physics, University of California, Santa Barbara, Santa Barbara, CA 91 306.