{"work":{"id":"13658d6f-1cbb-446e-a9ea-e62db787208e","openalex_id":null,"doi":null,"arxiv_id":"hep-ph/9705347","raw_key":null,"title":"Structure of Resonance in Preheating after Inflation","authors":null,"authors_text":"P","year":1997,"venue":"hep-ph","abstract":"We consider preheating in the theory $1/4 \\lambda \\phi^4 + 1/2 g^2\\phi^2\\chi^2 $, where the classical oscillating inflaton field $\\phi$ decays into $\\chi$-particles and $\\phi$-particles. The parametric resonance which leads to particle production in this conformally invariant theory is described by the Lame equation. It significantly differs from the resonance in the theory with a quadratic potential. The structure of the resonance depends in a rather nontrivial way on the parameter $g^2/\\lambda$. We construct the stability/instability chart in this theory for arbitrary $g^2/\\lambda$. We give simple analytic solutions describing the resonance in the limiting cases $g^2/\\lambda\\ll 1$ and $g^2/\\lambda \\gg 1$, and in the theory with $g^2=3\\lambda$, and with $g^2 =\\lambda$. From the point of view of parametric resonance for $\\chi$, the theories with $g^2=3\\lambda$ and with $g^2 =\\lambda$ have the same structure, respectively, as the theory $1/4 \\lambda \\phi^4$, and the theory $\\lambda /(4 N) (\\phi^2_i)^2$ of an N-component scalar field $\\phi_i$ in the limit $N \\to \\infty$. We show that in some of the conformally invariant theories such as the simplest model $1/4 \\lambda\\phi^4$, the resonance can be terminated by the backreaction of produced particles long before $<\\chi^2>$ or $<\\phi^2 >$ become of the order $\\phi^2$. We analyze the changes in the theory of reheating in this model which appear if the inflaton field has a small mass.","external_url":"https://arxiv.org/abs/hep-ph/9705347","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T00:00:07.550473+00:00","pith_arxiv_id":"hep-ph/9705347","created_at":"2026-05-10T00:29:47.392593+00:00","updated_at":"2026-06-05T21:23:00.469572+00:00","title_quality_ok":true,"display_title":"Structure of Resonance in Preheating after Inflation","render_title":"Structure of Resonance in Preheating after Inflation"},"hub":{"state":{"work_id":"13658d6f-1cbb-446e-a9ea-e62db787208e","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":11,"external_cited_by_count":null,"distinct_field_count":5,"first_pith_cited_at":"2019-07-09T20:36:00+00:00","last_pith_cited_at":"2026-04-28T13:35:39+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-20T05:49:33.517128+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":5},{"context_role":"extension","n":1}],"polarity_counts":[{"context_polarity":"background","n":4},{"context_polarity":"extend","n":1},{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}