{"paper":{"title":"Coarse graining free theories with gauge symmetries: the linearized case","arxiv_id":"1011.3667","primary_cat":"gr-qc","submitted_at":"2010-11-16T12:11:21+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":"Discretizations of continuum theories often do not preserve the gauge symmetry content.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.07,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"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":"This occurs in particular for diffeomorphism symmetry in general relativity, which leads to severe difficulties both in canonical and covariant quantization approaches.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.05,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.05,"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":0.67,"id":"s2","own":false,"role":"method","text":"We discuss here the method of perfect actions, which attempts to restore gauge symmetries by mirroring exactly continuum physics on a lattice via a coarse graining process.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.17,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.67,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.32,"interpretation":0.0}},{"i":3,"p":0.69,"id":"s3","own":true,"role":"limitation","text":"Analytical results can only be obtained via a perturbative approach, for which we consider the first steps, namely the coarse graining of the linearized theory.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.55,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.25,"role_probabilities":{"gap":0.0,"method":0.27,"result":0.0,"background":0.0,"limitation":0.69,"future_work":0.0,"contribution":0.04,"interpretation":0.0}},{"i":4,"p":0.67,"id":"s4","own":true,"role":"result","text":"The linearized gauge symmetries are exact also in the discretized theory, hence we develop a formalism to deal with gauge systems.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.62,"main_claim_p":0.1,"quantitative":false,"quantitative_p":0.14,"role_probabilities":{"gap":0.0,"method":0.1,"result":0.67,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.21,"interpretation":0.01}},{"i":5,"p":0.73,"id":"s5","own":true,"role":"result","text":"Finally we provide a discretization of linearized gravity as well as a coarse graining map and show that with this choice the 3D linearized gravity action is invariant under coarse 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