ORCID
- Davide Vadacchino: 0000-0002-5783-5602
Abstract
Symplectic gauge theories coupled to matter fields lead to symmetry enhancement phenomena that have potential applications in such diverse contexts as composite Higgs, top partial compositeness, strongly interacting dark matter, and dilaton-Higgs models. These theories are also interesting on theoretical grounds, for example in reference to the approach to the large-N limit. A particularly compelling research aim is the determination of the extent of the conformal window in gauge theories with symplectic groups coupled to matter, for different groups and for field content consisting of fermions transforming in different representations. Such determination would have far-reaching implications, but requires overcoming huge technical challenges. Numerical studies based on lattice field theory can provide the quantitative information necessary to this endeavor. We developed new software to implement symplectic groups in the Monte Carlo algorithms within the Grid framework. In this paper, we focus most of our attention on the Sp(4) lattice gauge theory coupled to four (Wilson-Dirac) fermions transforming in the 2-index antisymmetric representation, as a case study. We discuss an extensive catalog of technical tests of the algorithms and present preliminary measurements to set the stage for future large-scale numerical investigations. We also include the scan of parameter space of all asymptotically free Sp(4) lattice gauge theories coupled to varying number of fermions transforming in the antisymmetric representation.
DOI Link
Publication Date
2023-11-20
Publication Title
Physical Review D
Volume
108
Issue
9
ISSN
2470-0010
Acceptance Date
2023-10-24
Deposit Date
2024-03-15
Embargo Period
2024-03-20
Funding
The work of E. B., J. L., and B. L. has been funded by the Theoretical and Experimental Particle Physics at the Exascale Frontier (ExaTEPP) project No. EP/X017168/1. The work of E. B. and J. L. has also been supported by the UKRI Science and Technology Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1. The work of N. F. has been supported by the STFC Consolidated Grant No. ST/X508834/1. The work of P. B. was supported in part by U.S. DOE Contract No. DESC0012704(BNL), and in part by the Scientific Discovery through Advanced Computing (SciDAC) program LAB 22-2580. The work of D. K. H. was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B06033701). The work of L. D. D. and A. L. was supported by the ExaTEPP project EP/X01696X/1. The work of J. W. L. was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government(MSIT) (NRF-2018R1C1B3001379) and by IBS under the project code, IBS-R018-D1. The work of D. K. H. and J. W. L. was further supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2021R1A4A5031460). The work of C. J. D. L. is supported by the Taiwanese NSTC Grant No. 109-2112-M-009-006-MY3. D. V. is supported by a STFC new applicant scheme grant. The work of B. L. and M. P. has been supported in part by the STFC Consolidated Grants No. ST/P00055X/1 and No. ST/T000813/1. B. L., M. P., A. L., and L. D. D. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. The work of B. L. is further supported in part by the EPSRC ExCALIBUR programme ExaTEPP (project EP/X017168/1), by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. L. D. D. is supported by the UK Science and Technology Facility Council (STFC) grant No. ST/P000630/1. Numerical simulations have been performed on the Swansea SUNBIRD cluster (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system, and on the DiRAC Extreme Scaling service at the University of Edinburgh. Supercomputing Wales and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. The DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre on behalf of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This equipment was funded by BEIS capital funding via STFC capital Grant No. ST/R00238X/1 and STFC DiRAC Operations grant No. ST/R001006/1. DiRAC is part of the National e-Infrastructure.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Bennett, E., Boyle, P., Del, D., Forzano, N., Hong, D., Lee, J., Lenz, J., Lin, C., Lucini, B., Lupo, A., Piai, M., & Vadacchino, D. (2023) 'Symplectic lattice gauge theories in the grid framework: Approaching the conformal window', Physical Review D, 108(9). Available at: 10.1103/physrevd.108.094508
