{"paper":{"title":"Thermostatistical analysis and negative heat capacities of Yukawa and Lee-Wick potentials in noncommutative phase spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Noncommutative phase space deformations modify the heat capacity of Yukawa and Lee-Wick potentials and can produce regions of negative values.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albert C. R. Mendes, Everton M. C. Abreu, Maria G. Sousa, M. J. Neves","submitted_at":"2026-01-16T02:29:47Z","abstract_excerpt":"In recent years, physical models based on noncommutative algebras have attracted considerable interest, as they provide a natural framework to incorporate a fundamental scale, often associated with semiclassical aspects of quantum gravity. Noncommutative geometry modifies the underlying phase-space structure, potentially leading to new insights into unresolved problems in theoretical physics. In this work, we adopt a semiclassical approach to perform a thermostatistical analysis of well-established interaction models, namely the Yukawa and Lee--Wick potentials, within a noncommutative phase sp"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our results show that the introduction of the noncommutative parameter Θ induces nontrivial modifications in thermodynamic quantities, including qualitative changes in the heat capacity. In particular, regions with negative heat capacity may emerge, which we interpret as signatures of the limitations of the semiclassical and perturbative treatment rather than definitive physical effects.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The analysis is carried out under the assumption of weak noncommutativity and |β V(r)| ≪ 1, which constrains the regime of validity of the results.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Noncommutative phase-space deformations applied to Yukawa and Lee-Wick potentials produce modified thermodynamic quantities and regions of negative heat capacity, interpreted as limitations of the semiclassical perturbative treatment.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Noncommutative phase space deformations modify the heat capacity of Yukawa and Lee-Wick potentials and can produce regions of negative values.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"24de731c37a1835130bbc694635e54378f4054a45e576f68c21659a9856334e0"},"source":{"id":"2601.10948","kind":"arxiv","version":2},"verdict":{"id":"57a8856d-2293-4ccb-b96d-8c9034ee6096","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-16T14:18:43.767445Z","strongest_claim":"Our results show that the introduction of the noncommutative parameter Θ induces nontrivial modifications in thermodynamic quantities, including qualitative changes in the heat capacity. In particular, regions with negative heat capacity may emerge, which we interpret as signatures of the limitations of the semiclassical and perturbative treatment rather than definitive physical effects.","one_line_summary":"Noncommutative phase-space deformations applied to Yukawa and Lee-Wick potentials produce modified thermodynamic quantities and regions of negative heat capacity, interpreted as limitations of the semiclassical perturbative treatment.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The analysis is carried out under the assumption of weak noncommutativity and |β V(r)| ≪ 1, which constrains the regime of validity of the results.","pith_extraction_headline":"Noncommutative phase space deformations modify the heat capacity of Yukawa and Lee-Wick potentials and can produce regions of negative values."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2601.10948/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":50,"sample":[{"doi":"","year":null,"title":"INTRODUCTION The noncommutative (NC) phase-space theories have emerged as a promising framework in theoretical physics, challenging conventional conceptions of spacetime continuity, and of- fering new","work_id":"ff4c68a6-988b-4aa7-b4af-fbea77b385e8","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"THE NC YUKA W A AND LEE-WICK POTENTIAL In NC theory, as a particular realization of these frameworks, is characterized by the commutation relation between spatial coordinate operators,i.e., [ ˆxi ,ˆxj","work_id":"4de74fcf-3339-4212-beec-5d79c0e87da7","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Our goal is to investigate how the introduction of the NC Θ-parameter modifies the thermodynamic quantities of systems governed by Yukawa and Lee–Wick type interactions","work_id":"4b036ee9-b5af-4092-928c-f01da72b0895","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"So, for the calculation of the heat capacity, we need to obtain the average energy of the system, which is related to the partition function","work_id":"34209003-ed38-475c-9dcb-18ebf78b494f","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"I(0) 2 D0(β)−(I (0) 1 −β I (0) 2 )2 D2 0(β) # +Θβ 2","work_id":"f5aa13ab-47a3-4c49-952e-1817baafb38e","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":50,"snapshot_sha256":"b85accbaad5151b0750f3578d4d616da4ca7e48c2cf3079e614ef10ab204dc5e","internal_anchors":2},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d58fc00746615794fd805a507160297fe812b485052ebe3d688ce346406bcdbe"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}