{
  "id": "1702.07595",
  "version": "v1",
  "published": "2017-02-24T14:19:05.000Z",
  "updated": "2017-02-24T14:19:05.000Z",
  "title": "Dirac-Bergmann Constraints in Relativistic Physics: Non-Inertial Frames, Point Particles, Fields and Gravity",
  "authors": [
    "Luca Lusanna"
  ],
  "comment": "30 pages. arXiv admin note: substantial text overlap with arXiv:1108.3224, arXiv:1205.2481",
  "categories": [
    "math-ph",
    "astro-ph.GA",
    "gr-qc",
    "hep-th",
    "math.MP"
  ],
  "abstract": "There is a review of the physical theories needing Dirac-Bergmann theory of constraints at the Hamiltonian level due to the existence of gauge symmetries. It contains: i) the treatment of systems of point particles in special relativity both in inertial and non-inertial frames with a Wigner-covariant way of eliminating relative times in relativistic bound states; ii) the description of the electro-magnetic field in relativistic atomic physics and of Yang-Mills fields in absence of Gribov ambiguity in particle physics; iii) the identification of the inertial gauge variables and of the physical variables in canonical ADM tetrad gravity in presence of the electro-magnetic field and of charged scalar point particles in asymptotically Minkowskian space-times without super-translations by means of a Shanmugadhasan canonical transformation to a York canonical basis adapted to ten of the 14 first-class constraints and the definition of the Hamiltonian Post-Minkowskian weak field limit. Review paper for a chapter of a future book",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-24T14:19:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "point particles",
      "non-inertial frames",
      "relativistic physics",
      "dirac-bergmann constraints",
      "theories needing dirac-bergmann theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}