{"id":"W3102599108","doi":"","title":"Lagrangian Gauge Structure Functions for Systems with First-Class Constraints","year":2016,"lang":"en","type":"article","venue":"","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lagrangian; Hamiltonian (control theory); Hamiltonian lattice gauge theory; Mathematics; Gauge theory; Algebra over a field; Gauge (firearms); Covariant Hamiltonian field theory; Structure function; Mathematical physics; Pure mathematics; Physics; Hamiltonian system; Mathematical optimization; Particle physics","routes":{"ca_aff":true,"ca_fund":false,"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":[0.001457419,0.0006052877,0.0007148321,0.001932099,0.001337418,0.002394822,0.001245481,0.001591433,0.008194077],"category_scores_gemma":[0.003049723,0.0004423684,0.0006196089,0.0008817305,0.002855824,0.00343847,0.001268398,0.001481749,0.0009737752],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001604043,"about_ca_system_score_gemma":0.001381446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00247006,"about_ca_topic_score_gemma":0.0023014,"domain_scores_codex":[0.9996144,0.0001097242,0.00001257537,0.00003536112,0.0001059609,0.0001219514],"domain_scores_gemma":[0.999138,0.0002985681,0.0001335315,0.0001207546,0.000151515,0.0001576482],"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":[0.00000864184,0.0000131921,0.0001313156,0.00001875637,0.000004255329,0.0000512941,0.00006553999,0.006998176,0.0005700469,0.9900464,0.0005717715,0.001520442],"study_design_scores_gemma":[0.00001452445,0.000008988756,0.0002458946,0.00001099496,0.000002496933,0.0000335021,0.00004407554,0.07645269,0.0002154768,0.9224075,0.0005507962,0.00001297316],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6551844,0.001440613,0.2324134,0.00313838,0.000203136,0.0001130102,0.0004907218,0.0003358786,0.1066805],"genre_scores_gemma":[0.9740409,0.0005068399,0.01327514,0.0002505685,0.0001919507,0.0000980434,0.0003217062,0.0001355454,0.01117928],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008194077,"threshold_uncertainty_score":0.02741194,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.005056772063362611,"score_gpt":0.1956717914091436,"score_spread":0.190615019345781,"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."}}