{"paper":{"title":"Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model","arxiv_id":"hep-ph/0403151","primary_cat":"hep-ph","submitted_at":"2004-03-14T11:51:08+00:00","version_compiled":"v1"},"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. 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SU(2).","hedge":{"p":1.0,"label":"asserted"},"own_p":0.13,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.39,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.06,"background":0.93,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.0}},{"i":2,"p":0.97,"id":"s2","own":false,"role":"background","text":"If the usual counting of Goldstone bosons would apply, five Nambu-Goldstone (NG) bosons corresponding to the five broken color generators should appear in the mass spectrum.","hedge":{"p":0.52,"label":"asserted"},"own_p":0.08,"main_claim_p":0.05,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.03,"method":0.0,"result":0.0,"background":0.97,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"result","text":"Unlike that expectation, we find only three gapless diquark excitations of quark matter.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.7,"quantitative":true,"quantitative_p":0.97,"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":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"One of them is an SU(2)-singlet, the remaining two form an SU(2)-(anti)doublet and have a quadratic dispersion law in the small momentum limit.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.17,"quantitative":true,"quantitative_p":0.93,"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":5,"p":0.99,"id":"s5","own":false,"role":"interpretation","text":"These results are in agreement with the Nielsen-Chadha theorem, according to which NG-bosons in Lorentz-noninvariant systems, having a quadratic dispersion law, must be counted differently.","hedge":{"p":0.78,"label":"asserted"},"own_p":0.13,"main_claim_p":0.21,"quantitative":false,"quantitative_p":0.2,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.99}},{"i":6,"p":0.89,"id":"s6","own":true,"role":"interpretation","text":"The origin of the abnormal number of NG-bosons is shown to be related to a nonvanishing expectation value of the color charge operator Q_8 reflecting the lack of color neutrality of the ground state.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.27,"quantitative":false,"quantitative_p":0.22,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.11,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.89}},{"i":7,"p":0.84,"id":"s7","own":true,"role":"result","text":"Finally, by requiring color neutrality, two massive diquarks are argued to become massless, resulting in a normal number 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