{
  "id": "0705.0712",
  "version": "v2",
  "published": "2007-05-04T21:37:36.000Z",
  "updated": "2007-05-09T04:23:08.000Z",
  "title": "Reflection Positivity and Monotonicity",
  "authors": [
    "Arthur Jaffe",
    "Gordon Ritter"
  ],
  "comment": "11 pages",
  "journal": "J.Math.Phys.49:052301,2008",
  "doi": "10.1063/1.2907660",
  "categories": [
    "math-ph",
    "math.AP",
    "math.DG",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We prove general reflection positivity results for both scalar fields and Dirac fields on a Riemannian manifold, and comment on applications to quantum field theory. As another application, we prove the inequality $C_D \\leq C_N$ between Dirichlet and Neumann covariance operators on a manifold with a reflection.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-09T04:23:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "81T20",
      "81T08",
      "58J05",
      "81Q10",
      "81Q70",
      "20F55"
    ],
    "keywords": [
      "monotonicity",
      "general reflection positivity results",
      "neumann covariance operators",
      "quantum field theory",
      "scalar fields"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Journal of Mathematical Physics",
      "year": 2008,
      "month": "May",
      "volume": 49,
      "number": 5,
      "pages": "052301"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 750573,
      "adsabs": "2008JMP....49e2301J"
    }
  }
}