{"paper":{"title":"Conformal Transformations in Metric-Affine Gravity and Ghosts","arxiv_id":"1204.6366","primary_cat":"gr-qc","submitted_at":"2012-04-28T06:03:29+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":1.0,"id":"s0","own":false,"role":"background","text":"Conformal transformations play a widespread role in gravity theories in regard to their cosmological and other implications.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.03,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":false,"role":"background","text":"In the pure metric theory of gravity, conformal transformations change the frame to a new one wherein one obtains a conformal-invariant scalar-tensor theory such that the scalar field, deriving from the conformal factor, is a ghost.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.06,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":1.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":1.0,"id":"s2","own":true,"role":"contribution","text":"In this work, conformal transformations and ghosts will be analyzed in the framework of the metric-affine theory of gravity.","hedge":{"p":0.8,"label":"asserted"},"own_p":0.55,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.02,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":1.0,"interpretation":0.0}},{"i":3,"p":0.59,"id":"s3","own":false,"role":"background","text":"Within this framework, metric and connection are independent variables, and hence, transform independently under conformal transformations.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.14,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.33,"result":0.0,"background":0.59,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.0}},{"i":4,"p":1.0,"id":"s4","own":true,"role":"result","text":"It will be shown that, if affine connection is invariant under conformal transformations then the scalar field under concern is a non-ghost, non-dynamical field.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.77,"main_claim_p":0.25,"quantitative":false,"quantitative_p":0.07,"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":0.56,"id":"s5","own":false,"role":"result","text":"It is an auxiliary field at the classical level, and might develop a kinetic term at the quantum level.","hedge":{"p":0.57,"label":"speculative"},"own_p":0.41,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.05,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.56,"background":0.0,"limitation":0.01,"future_work":0.0,"contribution":0.0,"interpretation":0.43}},{"i":6,"p":1.0,"id":"s6","own":true,"role":"result","text":"Alternatively, if connection transforms additively with a structure similar to yet more general than that of the Levi-Civita connection, the resulting action describes the gravitational dynamics correctly, and more importantly, the scalar field becomes a dynamical non-ghost field.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.83,"main_claim_p":0.33,"quantitative":false,"quantitative_p":0.1,"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":7,"p":0.98,"id":"s7","own":true,"role":"result","text":"The equations of motion, for generic geometrical and matter-sector variables, do not reduce connection to the Levi-Civita connection, and hence, independence of connection from metric is maintained.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.81,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.02}},{"i":8,"p":0.78,"id":"s8","own":true,"role":"interpretation","text":"Therefore, metric-affine gravity provides an arena in which ghosts arising from conformal factor are avoided thanks to the independence of connection from the metric.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.75,"main_claim_p":0.87,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.22,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.78}}]},"compiled":{"main_claim":{"p":1.0,"text":"Therefore, metric-affine gravity 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