{"paper":{"title":"k-String tensions and the 1/N expansion","arxiv_id":"1101.5344","primary_cat":"hep-th","submitted_at":"2011-01-27T17:31:54+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.75,"id":"s0","own":false,"role":"background","text":"We address the question of whether the large-N expansion in pure SU(N) gauge theories requires that k-string tensions must have a power series expansion in 1/N^2, as in the sine law, or whether 1/N contributions are also allowable, as in Casimir scaling.","hedge":{"p":0.84,"label":"unclear"},"own_p":0.12,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.4,"role_probabilities":{"gap":0.18,"method":0.0,"result":0.0,"background":0.75,"limitation":0.0,"future_work":0.0,"contribution":0.07,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":true,"role":"result","text":"We find that k-string tensions may, in fact, have 1/N corrections, and consistency with the large-N expansion in the open-string sector depends crucially on an exact cancellation, which we will prove, among terms involving odd powers of 1/N in particular combinations of Wilson loops.","hedge":{"p":0.78,"label":"hedged_possibility"},"own_p":0.95,"main_claim_p":0.81,"quantitative":false,"quantitative_p":0.32,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.52,"id":"s2","own":true,"role":"method","text":"It is shown how these cancellations are fulfilled, and consistency with the large-N expansion achieved, in a concrete example, namely, strong-coupling lattice gauge theory with the heat-kernel action.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.52,"result":0.09,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.39,"interpretation":0.0}},{"i":3,"p":0.52,"id":"s3","own":true,"role":"result","text":"This is a model which has both a 1/N^2 expansion and Casimir scaling of the k-string tensions.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.67,"main_claim_p":0.13,"quantitative":false,"quantitative_p":0.44,"role_probabilities":{"gap":0.0,"method":0.33,"result":0.52,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.06,"interpretation":0.09}},{"i":4,"p":0.49,"id":"s4","own":true,"role":"result","text":"Analysis of the closed string channel in this model confirms our conclusions, and provides further insights into the large-N dependence of energy eigenstates and eigenvalues.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.49,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.33,"interpretation":0.15}}]},"compiled":{"main_claim":{"p":1.0,"text":"We find that k-string tensions may, in fact, have 1/N corrections, and consistency with the 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