{"id":"W2900128235","doi":"10.4310/atmp.2019.v23.n8.a7","title":"Homotopy classes of gauge fields and the lattice","year":2019,"lang":"en","type":"article","venue":"Advances in Theoretical and Mathematical Physics","topic":"Black Holes and Theoretical Physics","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Lattice gauge theory; Equivalence relation; Lattice (music); Hamiltonian lattice gauge theory; Homotopy; Homomorphism; Gauge theory; Lattice field theory; Principal bundle; Pure mathematics; Physics; Mathematical physics; Line bundle","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":[0.0004790494,0.0003918044,0.0004246285,0.002682396,0.001685808,0.002888273,0.0007357439,0.000811649,0.006938885],"category_scores_gemma":[0.001460729,0.0002656795,0.0004444378,0.0007689244,0.003633581,0.004726332,0.002434845,0.001492793,0.0005111441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001663176,"about_ca_system_score_gemma":0.0004161002,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00189116,"about_ca_topic_score_gemma":0.0008096976,"domain_scores_codex":[0.9995415,0.00007139245,0.00002179695,0.000121888,0.0001247515,0.0001186667],"domain_scores_gemma":[0.9993286,0.0001781321,0.0001150392,0.0000770297,0.00008971224,0.0002114211],"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":[0.00004025955,0.00003046867,0.0008703859,0.00001087544,0.000004990779,0.0001239672,0.0003709144,0.0007036137,0.001454097,0.990023,0.000350867,0.00601668],"study_design_scores_gemma":[0.0000241722,0.00003428046,0.001151247,0.00001620045,0.000005512965,0.0001509331,0.0003341997,0.006459528,0.001144979,0.9869125,0.003754355,0.00001219314],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.916636,0.0002997381,0.03039108,0.0009789064,0.0000964167,0.00004495477,0.0001734521,0.0001906851,0.05118877],"genre_scores_gemma":[0.9878582,0.000174664,0.00554183,0.00007017078,0.00007936345,0.00003784411,0.0001809748,0.00003788947,0.006019107],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.006938885,"threshold_uncertainty_score":0.02321285,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.002953340305174343,"score_gpt":0.2365248800479591,"score_spread":0.2335715397427848,"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."}}