{"work":{"id":"ebeed950-0d38-49e2-8eff-d8296dab2ad7","openalex_id":null,"doi":null,"arxiv_id":"1402.7026","raw_key":null,"title":"Generalization of the Proca Action","authors":null,"authors_text":"L","year":2014,"venue":"hep-th","abstract":"We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the ghost-like pathologies disappear. For this we use the degeneracy condition of the Hessian. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters and purely intrinsic vector interactions. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.","external_url":"https://arxiv.org/abs/1402.7026","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-09T21:56:38.245103+00:00","pith_arxiv_id":"1402.7026","created_at":"2026-05-13T04:52:16.538655+00:00","updated_at":"2026-07-09T21:56:38.245103+00:00","title_quality_ok":false,"display_title":"Heisenberg,Generalization of the Proca Action, JCAP 1405 (2014) 015, [1402.7026]","render_title":"Heisenberg,Generalization of the Proca Action, JCAP 1405 (2014) 015, [1402.7026]"},"hub":{"state":{"tier_text":"hub","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":12,"external_cited_by_count":null},"tier":"hub","role_counts":[{"context_role":"background","n":3}],"polarity_counts":[{"context_polarity":"background","n":3}],"runs":{},"summary":{},"graph":{},"authors":[]}}