Linear sigma EFT for nearly conformal gauge theories

Appelquist, T.; Brower, R. C.; Fleming, G. T.; Gasbarro, Andrew David; Hasenfratz, A.; Ingoldby, J.; Kiskis, J.; Osborn, J. C.; Rebbi, C.; Rinaldi, E.; Schaich, David Alexander; Vranas, P.; Weinberg, E.; Witzel, O. (2018). Linear sigma EFT for nearly conformal gauge theories. Physical review. D - particles, fields, gravitation, and cosmology, 98(11), p. 114510. American Physical Society 10.1103/PhysRevD.98.114510

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We construct a generalized linear sigma model as an effective field theory (EFT) to describe nearly conformal gauge theories at low energies. The work is motivated by recent lattice studies of gauge theories near the conformal window, which have shown that the lightest flavor-singlet scalar state in the spectrum (σ) can be much lighter than the vector state (ρ) and nearly degenerate with the PNGBs (π) over a large range of quark masses. The EFT incorporates this feature. We highlight the crucial role played by the terms in the potential that explicitly break chiral symmetry. The explicit breaking can be large enough so that a limited set of additional terms in the potential can no longer be neglected, with the EFT still weakly coupled in this new range. The additional terms contribute importantly to the scalar and pion masses. In particular, they relax the inequality M2σ ≥ 3M2π, allowing for consistency with current lattice data.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Gasbarro, Andrew David and Schaich, David Alexander

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

25 Feb 2019 12:13

Last Modified:

26 Oct 2019 11:58

Publisher DOI:

10.1103/PhysRevD.98.114510

ArXiv ID:

1809.02624

BORIS DOI:

10.7892/boris.123753

URI:

https://boris.unibe.ch/id/eprint/123753

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