{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f",
  "labels": {
    "zh-CN": "红外截断",
    "en": "infrared cutoff"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "4a92c57dbb4af55d6a74f3f64612f580db2cbde4a9cce6d73a668dd5aec527de",
  "occurrences": [
    {
      "concept_id": "urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism",
      "anchor": "first-ee4a811202cac3168b9b-zh",
      "chapter": "36",
      "section": "36.2",
      "offset": 1404,
      "range": [
        9320,
        9631
      ],
      "source_revision": "91e465605fc39534ef2223630f06e774ff31af3a941cdff58cf9e7d2f4c14b8c",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "红外截断(infrared cutoff)",
      "context": {
        "range": [
          9311,
          9750
        ],
        "quote": "周期边界条件是“[<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-field-theory/infrared-cutoff\" data-concept-identity=\"urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f\" data-concept-route=\"/concept-identities#concept-2bf16f8e-01b1-462f-807c-fde871a89a6f\" id=\"first-ee4a811202cac3168b9b-zh\">红外截断(infrared cutoff)</u>](../../../../../concepts/quantum-field-theory/infrared-cutoff)”的一种形式：移除与任意大尺度相应的自由度，使量子系统良定义。先固定 $L$，再研究 $L\\to\\infty$。",
        "quote_sha256": "4694d94299fe465c1dd6ba5354eb519d397beb5a0ce9d214ba91d9e066b97692",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-1c5daf55eb4105ff50dfba8c"
    },
    {
      "concept_id": "urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism",
      "anchor": "first-ee4a811202cac3168b9b-en",
      "chapter": "36",
      "section": "36.2",
      "offset": 2421,
      "range": [
        9487,
        9792
      ],
      "source_revision": "1529c9fbab7ba5d183d948924ceebac424262e89b837ef5895ea7eb46787a765",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "infrared cutoff",
      "context": {
        "range": [
          9449,
          9985
        ],
        "quote": "Periodic boundary conditions are an “[<u class=\"concept-term\" data-concept-reference=\"concepts/quantum-field-theory/infrared-cutoff\" data-concept-identity=\"urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f\" data-concept-route=\"/concept-identities#concept-2bf16f8e-01b1-462f-807c-fde871a89a6f\" id=\"first-ee4a811202cac3168b9b-en\">infrared cutoff</u>](../../../../../concepts/quantum-field-theory/infrared-cutoff)”, removing arbitrarily large-size degrees of freedom to make the system well-defined. Fix $L$ first and study $L\\to\\infty$ later.",
        "quote_sha256": "0e440fd9f4ae4f6808497e0b5770cab3e0f769f33a5db73dd33d573c0772bdc7",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-9ef7f99b890e9ec9e0c3e0a4"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism",
      "lang": "en",
      "section": "36.2",
      "signal": "term-mark",
      "label": "infrared cutoff",
      "english": "infrared cutoff",
      "offset": 2421
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism",
      "lang": "zh-CN",
      "section": "36.2",
      "signal": "term-mark",
      "label": "红外截断",
      "english": "infrared cutoff",
      "offset": 1404
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-1c5daf55eb4105ff50dfba8c",
    "occ-9ef7f99b890e9ec9e0c3e0a4"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 2,
    "located_occurrences": 2,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "39ec46aa7a419eead9d1ed15f17c7132f492b9c7d68fd8206d5a6509225a0c58",
  "optional_enrichments": []
}