Appelquist, T, Brower, RC, Fleming, GT, Gasbarro, A, Hasenfratz, A, Ingoldby, J, Kiskis, J, Osborn, JC, Rebbi, C, Rinaldi, E et al (show 4 more authors)
(2018)
Linear sigma EFT for nearly conformal gauge theories
PHYSICAL REVIEW D, 98 (11).
114510-.
ISSN 2470-0010, 2470-0029
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Abstract
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 Mσ2≥3Mπ2, allowing for consistency with current lattice data.
| Item Type: | Article |
|---|---|
| Additional Information: | 9 pages, 1 figure, published version |
| Uncontrolled Keywords: | hep-ph, hep-ph, hep-lat |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 09 Mar 2020 09:09 |
| Last Modified: | 16 Jun 2026 11:19 |
| DOI: | 10.1103/PhysRevD.98.114510 |
| Related Websites: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3078180 |
| Disclaimer: | The University of Liverpool is not responsible for content contained on other websites from links within repository metadata. Please contact us if you notice anything that appears incorrect or inappropriate. |
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