Linear sigma EFT for nearly conformal gauge theories
Abstract
Here, 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 flavorsinglet 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 M^{2}_{σ} ≥ 3M^{2}_{π}, allowing for consistency with current lattice data.
 Authors:

 (LSD) Collaboration
 Publication Date:
 Research Org.:
 Brookhaven National Lab. (BNL), Upton, NY (United States); Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Colorado, Boulder, CO (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP); RIKEN; National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)
 Contributing Org.:
 Lattice Strong Dynamics (LSD) Collaboration
 OSTI Identifier:
 1488639
 Alternate Identifier(s):
 OSTI ID: 1489357; OSTI ID: 1573356; OSTI ID: 1607688
 Report Number(s):
 RBRC1291; BNL2108382019JAAM
Journal ID: ISSN 24700010; PRVDAQ; 114510
 Grant/Contract Number:
 SC0010005; SC0012704; SC0010025; SC0014664; AC5207NA27344; AC0206CH11357
 Resource Type:
 Published Article
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 11; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; composite models; Effective field theory; Lattice field theory; Sigma models; Spontaneous symmetry breaking
Citation Formats
Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., Kiskis, J., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., and Lattice Strong Dynamics. Linear sigma EFT for nearly conformal gauge theories. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.114510.
Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., Kiskis, J., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., & Lattice Strong Dynamics. Linear sigma EFT for nearly conformal gauge theories. United States. doi:https://doi.org/10.1103/PhysRevD.98.114510
Appelquist, T., Brower, R. C., Fleming, G. T., Gasbarro, A., Hasenfratz, A., Ingoldby, J., Kiskis, J., Osborn, J. C., Rebbi, C., Rinaldi, E., Schaich, D., Vranas, P., Weinberg, E., Witzel, O., and Lattice Strong Dynamics. Thu .
"Linear sigma EFT for nearly conformal gauge theories". United States. doi:https://doi.org/10.1103/PhysRevD.98.114510.
@article{osti_1488639,
title = {Linear sigma EFT for nearly conformal gauge theories},
author = {Appelquist, T. and Brower, R. C. and Fleming, G. T. and Gasbarro, A. and Hasenfratz, A. and Ingoldby, J. and Kiskis, J. and Osborn, J. C. and Rebbi, C. and Rinaldi, E. and Schaich, D. and Vranas, P. and Weinberg, E. and Witzel, O. and Lattice Strong Dynamics},
abstractNote = {Here, 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 flavorsinglet 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.},
doi = {10.1103/PhysRevD.98.114510},
journal = {Physical Review D},
number = 11,
volume = 98,
place = {United States},
year = {2018},
month = {12}
}
DOI: https://doi.org/10.1103/PhysRevD.98.114510
Web of Science
Figures / Tables:
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