{"id":"W3210789044","doi":"10.22323/1.396.0112","title":"3+1D $\\theta$-Term on the Lattice from the Hamiltonian Perspective","year":2022,"lang":"en","type":"article","venue":"Proceedings of The 38th International Symposium on Lattice Field Theory — PoS(LATTICE2021)","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Perimeter Institute; University of Waterloo","funders":"QuantERA; Research and Innovation Foundation; Canada First Research Excellence Fund; Office of Science; Austrian Science Fund; U.S. Department of Energy; European Commission; Alexander von Humboldt-Stiftung; Industry Canada; National Science Foundation; Compute Canada; Nuclear Physics; Natural Sciences and Engineering Research Council of Canada; Institut Périmètre de physique théorique; Alfred P. Sloan Foundation; Ministry of Colleges and Universities; Government of Canada","keywords":"Abelian group; Gauge theory; Lattice field theory; Physics; Lattice gauge theory; Hamiltonian (control theory); Higgs boson; Hamiltonian lattice gauge theory; Lattice (music); Quantum mechanics; Mathematical physics; Theoretical physics; Mathematics; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002965828,0.0002902945,0.0003547115,0.0002938664,0.0005091128,0.0008954433,0.0009154149,0.0008375267,0.004359713],"category_scores_gemma":[0.000799138,0.0001961587,0.0004184698,0.0003364153,0.001270577,0.001423385,0.0007646806,0.001107983,0.0003271308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005981802,"about_ca_system_score_gemma":0.0006110939,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002330351,"about_ca_topic_score_gemma":0.00282201,"domain_scores_codex":[0.9998512,0.00006262656,0.000004287371,0.00000999859,0.00005009045,0.00002173442],"domain_scores_gemma":[0.9998129,0.0000802382,0.00001736259,0.00003077055,0.00002571083,0.00003295995],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0000519184,0.00004267866,0.0004084988,0.00008817681,0.00001607563,0.0001156938,0.0001086304,0.2141939,0.004455919,0.7741371,0.001646838,0.004734739],"study_design_scores_gemma":[0.00002122846,0.00001960139,0.0001461758,0.00001630437,0.000004846744,0.00002831021,0.00004076422,0.8197805,0.001056264,0.1769903,0.001881313,0.00001441467],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6423745,0.00154404,0.2534369,0.004811703,0.0006014752,0.0001005967,0.0004462982,0.0004185277,0.09626605],"genre_scores_gemma":[0.9423419,0.0007572892,0.04990796,0.0003386362,0.0001096571,0.0001186714,0.0001577954,0.0001636618,0.006104404],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004359713,"threshold_uncertainty_score":0.01458472,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01042392169060812,"score_gpt":0.2440877784250112,"score_spread":0.233663856734403,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}