{"paper":{"title":"Chiral Symmetry Restoration and Realisation of the Goldstone Mechanism in the U(1) Gross-Neveu Model at Non-Zero Chemical Potential","arxiv_id":"hep-lat/9902033","primary_cat":"hep-lat","submitted_at":"1999-02-25T16:55:49+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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measure.","hedge":{"p":0.92,"label":"hedged_possibility"},"own_p":0.35,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.18,"role_probabilities":{"gap":0.0,"method":0.9,"result":0.0,"background":0.05,"limitation":0.0,"future_work":0.0,"contribution":0.05,"interpretation":0.0}},{"i":2,"p":0.94,"id":"s2","own":true,"role":"method","text":"We compare the physical observables from these simulations with simulations using the Glasgow method where the value of mu in the functional measure is fixed at a value mu_upd.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.89,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.38,"role_probabilities":{"gap":0.0,"method":0.94,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.06,"interpretation":0.0}},{"i":3,"p":1.0,"id":"s3","own":true,"role":"result","text":"We find that the observables are sensitive to the choice of mu_upd.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.96,"main_claim_p":0.09,"quantitative":false,"quantitative_p":0.08,"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":0.78,"id":"s4","own":false,"role":"interpretation","text":"We consider the implications of our findings for Glasgow method QCD simulations at mu =/= 0.","hedge":{"p":0.52,"label":"unclear"},"own_p":0.45,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.09,"contribution":0.13,"interpretation":0.78}},{"i":5,"p":0.94,"id":"s5","own":true,"role":"result","text":"We demonstrate that the realisation of the Goldstone mechanism in the Gross-Neveu model is fundamentally different from that in QCD.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.87,"main_claim_p":0.41,"quantitative":false,"quantitative_p":0.43,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.04,"interpretation":0.02}},{"i":6,"p":0.93,"id":"s6","own":true,"role":"interpretation","text":"We find that this difference explains why there is an unphysical transition in QCD simulations at mu =/= 0 associated with the pion mass scale whereas the transition in the Gross-Neveu model occurs at a larger mass scale and is therefore consistent with theoretical predictions.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.88,"main_claim_p":0.45,"quantitative":true,"quantitative_p":0.89,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.07,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.93}},{"i":7,"p":0.32,"id":"s7","own":false,"role":"result","text":"We note classes of theories which are exceptions to the Vafa-Witten theorem which permit the possibility of formation of baryon number violating diquark condensates.","hedge":{"p":0.53,"label":"asserted"},"own_p":0.3,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.32,"background":0.23,"limitation":0.0,"future_work":0.0,"contribution":0.3,"interpretation":0.15}}]},"compiled":{"main_claim":{"p":0.72,"text":"We find that this difference explains why there is an unphysical transition in QCD simulations at mu =/= 0 associated with the pion mass scale whereas the transition in the Gross-Neveu model occurs at a larger mass scale and is therefore consistent with theoretical predictions.","location":"abstract s6","hedge_strength":{"p":0.95,"label":"asserted"}},"provenance":{"route":{"via":"OpenRouter","model":"classifier-1.13","endpoint":"https://openrouter.ai/api/v1/systemone","provider":"TypeSafe"},"packing":"one request per 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