DOI: 10.1103/revmodphys.21.434. On the Invariant Regularization in Relativistic Quantum Theory

On the Invariant Regularization in Relativistic Quantum Theory

10.1103/revmodphys.21.434

Crossref journal-article

American Physical Society (APS)

Reviews of Modern Physics (16)

Bibliography

Pauli, W., & Villars, F. (1949). On the Invariant Regularization in Relativistic Quantum Theory. Reviews of Modern Physics, 21(3), 434â444.

Authors 2

W. Pauli (first)
F. Villars (additional)

References 21 Referenced 622

10.1143/PTP.1.27 / Prog. Theor. Phys. by S. Tomonaga (1946)
10.1103/PhysRev.74.1439 / Phys. Rev. by J. Schwinger (1948)
10.1103/PhysRev.75.651 / Phys. Rev. by J. Schwinger (1949)
10.1103/PhysRev.75.1912 / Phys. Rev. by J. Schwinger (1949)
10.1103/PhysRev.75.486 / Phys. Rev. by F. J. Dyson (1949)
10.1103/PhysRev.75.1736 / Phys. Rev. by F. J. Dyson (1949)
10.1103/PhysRev.74.1070 / Phys. Rev. by G. Wentzel (1948)
{'key': 'RevModPhys.21.434Cc5R1', 'volume-title': 'The Development of the Theory of the Electron', 'author': 'A. Pais', 'year': '1948'} / The Development of the Theory of the Electron by A. Pais (1948)
{'key': 'RevModPhys.21.434Cc6R1', 'first-page': '129', 'volume': '9', 'author': 'G. Rayski', 'year': '1948', 'journal-title': 'Acta Phys. Polonica'} / Acta Phys. Polonica by G. Rayski (1948)
10.1143/ptp/3.3.317 / Prog. Theor. Phys. by Umesawa (1948)
{'key': 'RevModPhys.21.434Cc7R1', 'volume-title': 'Pocono Conference 1948', 'author': 'R. P. Feynman'} / Pocono Conference 1948 by R. P. Feynman
10.1103/PhysRev.74.1439 / Phys. Rev. by R. P. Feynman (1948)
10.1103/PhysRev.75.1240 / Phys. Rev. by V. F. Weisskopf (1949)
{'key': 'RevModPhys.21.434Cc8R1', 'first-page': '218', 'volume': '74', 'author': 'E. C. G. Stueckelberg', 'year': '1948', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by E. C. G. Stueckelberg (1948)
{'key': 'RevModPhys.21.434Cc8R2', 'first-page': '265', 'volume': 'XXII', 'author': 'D. Rivier', 'year': '1949', 'journal-title': 'Helv. Phys. Acta'} / Helv. Phys. Acta by D. Rivier (1949)
10.1103/PhysRev.76.1 / Phys. Rev. by K. M. Case (1949)
{'key': 'RevModPhys.21.434Cc12R3', 'first-page': '483', 'volume': 'XXI', 'author': 'Luttinger', 'year': '1948', 'journal-title': 'Helv. Phys. Acta'} / Helv. Phys. Acta by Luttinger (1948)
{'key': 'RevModPhys.21.434Cc16R1', 'first-page': '1264', 'volume': '75', 'author': 'S. T. Ma', 'year': '1949', 'journal-title': 'Phys. Rev.'} / Phys. Rev. by S. T. Ma (1949)
10.1103/PhysRev.49.462 / Phys. Rev. by Pauli (1936)
{'key': 'RevModPhys.21.434Cc19R1', 'volume-title': 'Handbuch der Physik', 'author': 'Pauli'} / Handbuch der Physik by Pauli
10.1103/PhysRev.73.416 / Phys. Rev. by J. Schwinger (1948)

Dates

Type	When
Created	23 years, 1 month ago (July 27, 2002, 12:41 a.m.)
Deposited	7 years, 8 months ago (Dec. 10, 2017, 4:16 a.m.)
Indexed	3 days, 19 hours ago (Aug. 26, 2025, 2:55 a.m.)
Issued	76 years, 1 month ago (July 1, 1949)
Published	76 years, 1 month ago (July 1, 1949)
Published Online	76 years, 1 month ago (July 1, 1949)

Funders 0

None

BibTeX

@article{Pauli_1949, title={On the Invariant Regularization in Relativistic Quantum Theory}, volume={21}, ISSN={0034-6861}, url={http://dx.doi.org/10.1103/revmodphys.21.434}, DOI={10.1103/revmodphys.21.434}, number={3}, journal={Reviews of Modern Physics}, publisher={American Physical Society (APS)}, author={Pauli, W. and Villars, F.}, year={1949}, month=jul, pages={434–444} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        26
      ]
    ],
    "date-time": "2025-08-26T06:55:27Z",
    "timestamp": 1756191327704
  },
  "reference-count": 21,
  "publisher": "American Physical Society (APS)",
  "issue": "3",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1949,
            7,
            1
          ]
        ],
        "date-time": "1949-07-01T00:00:00Z",
        "timestamp": -647049600000
      },
      "content-version": "vor",
      "delay-in-days": 0,
      "URL": "http://link.aps.org/licenses/aps-default-license"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "DOI": "10.1103/revmodphys.21.434",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2002,
        7,
        27
      ]
    ],
    "date-time": "2002-07-27T04:41:47Z",
    "timestamp": 1027744907000
  },
  "page": "434-444",
  "source": "Crossref",
  "is-referenced-by-count": 622,
  "title": "On the Invariant Regularization in Relativistic Quantum Theory",
  "prefix": "10.1103",
  "volume": "21",
  "author": [
    {
      "given": "W.",
      "family": "Pauli",
      "sequence": "first",
      "affiliation": []
    },
    {
      "given": "F.",
      "family": "Villars",
      "sequence": "additional",
      "affiliation": []
    }
  ],
  "member": "16",
  "published-online": {
    "date-parts": [
      [
        1949,
        7,
        1
      ]
    ]
  },
  "reference": [
    {
      "key": "RevModPhys.21.434Cc1R1",
      "doi-asserted-by": "crossref",
      "first-page": "27",
      "DOI": "10.1143/PTP.1.27",
      "volume": "1",
      "author": "S. Tomonaga",
      "year": "1946",
      "journal-title": "Prog. Theor. Phys."
    },
    {
      "key": "RevModPhys.21.434Cc1R2",
      "doi-asserted-by": "crossref",
      "first-page": "1439",
      "DOI": "10.1103/PhysRev.74.1439",
      "volume": "74",
      "author": "J. Schwinger",
      "year": "1948",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc1R3",
      "doi-asserted-by": "crossref",
      "first-page": "651",
      "DOI": "10.1103/PhysRev.75.651",
      "volume": "75",
      "author": "J. Schwinger",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc1R4",
      "doi-asserted-by": "crossref",
      "first-page": "1912",
      "DOI": "10.1103/PhysRev.75.1912",
      "volume": "75",
      "author": "J. Schwinger",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc1R5",
      "doi-asserted-by": "crossref",
      "first-page": "486",
      "DOI": "10.1103/PhysRev.75.486",
      "volume": "75",
      "author": "F. J. Dyson",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc1R6",
      "doi-asserted-by": "crossref",
      "first-page": "1736",
      "DOI": "10.1103/PhysRev.75.1736",
      "volume": "75",
      "author": "F. J. Dyson",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc2R1",
      "doi-asserted-by": "crossref",
      "first-page": "1070",
      "DOI": "10.1103/PhysRev.74.1070",
      "volume": "74",
      "author": "G. Wentzel",
      "year": "1948",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc5R1",
      "volume-title": "The Development of the Theory of the Electron",
      "author": "A. Pais",
      "year": "1948"
    },
    {
      "key": "RevModPhys.21.434Cc6R1",
      "first-page": "129",
      "volume": "9",
      "author": "G. Rayski",
      "year": "1948",
      "journal-title": "Acta Phys. Polonica"
    },
    {
      "key": "RevModPhys.21.434Cc6R2",
      "doi-asserted-by": "crossref",
      "first-page": "317",
      "DOI": "10.1143/ptp/3.3.317",
      "volume": "3",
      "author": "Umesawa",
      "year": "1948",
      "journal-title": "Prog. Theor. Phys."
    },
    {
      "key": "RevModPhys.21.434Cc7R1",
      "volume-title": "Pocono Conference 1948",
      "author": "R. P. Feynman"
    },
    {
      "key": "RevModPhys.21.434Cc7R2",
      "doi-asserted-by": "crossref",
      "first-page": "1439",
      "DOI": "10.1103/PhysRev.74.1439",
      "volume": "74",
      "author": "R. P. Feynman",
      "year": "1948",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc7R3",
      "doi-asserted-by": "crossref",
      "first-page": "1240",
      "DOI": "10.1103/PhysRev.75.1240",
      "volume": "75",
      "author": "V. F. Weisskopf",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc8R1",
      "first-page": "218",
      "volume": "74",
      "author": "E. C. G. Stueckelberg",
      "year": "1948",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc8R2",
      "first-page": "265",
      "volume": "XXII",
      "author": "D. Rivier",
      "year": "1949",
      "journal-title": "Helv. Phys. Acta"
    },
    {
      "key": "RevModPhys.21.434Cc12R2",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1103/PhysRev.76.1",
      "volume": "76",
      "author": "K. M. Case",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc12R3",
      "first-page": "483",
      "volume": "XXI",
      "author": "Luttinger",
      "year": "1948",
      "journal-title": "Helv. Phys. Acta"
    },
    {
      "key": "RevModPhys.21.434Cc16R1",
      "first-page": "1264",
      "volume": "75",
      "author": "S. T. Ma",
      "year": "1949",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc16R2",
      "doi-asserted-by": "crossref",
      "first-page": "462",
      "DOI": "10.1103/PhysRev.49.462",
      "volume": "49",
      "author": "Pauli",
      "year": "1936",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "RevModPhys.21.434Cc19R1",
      "volume-title": "Handbuch der Physik",
      "author": "Pauli"
    },
    {
      "key": "RevModPhys.21.434Cc21R1",
      "doi-asserted-by": "crossref",
      "first-page": "416",
      "DOI": "10.1103/PhysRev.73.416",
      "volume": "73",
      "author": "J. Schwinger",
      "year": "1948",
      "journal-title": "Phys. Rev."
    }
  ],
  "container-title": "Reviews of Modern Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.aps.org/article/10.1103/RevModPhys.21.434",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "syndication"
    },
    {
      "URL": "http://harvest.aps.org/v2/journals/articles/10.1103/RevModPhys.21.434/fulltext",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2017,
        12,
        10
      ]
    ],
    "date-time": "2017-12-10T09:16:17Z",
    "timestamp": 1512897377000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "https://link.aps.org/doi/10.1103/RevModPhys.21.434"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1949,
        7,
        1
      ]
    ]
  },
  "references-count": 21,
  "journal-issue": {
    "issue": "3",
    "published-print": {
      "date-parts": [
        [
          1949,
          7
        ]
      ]
    }
  },
  "URL": "http://dx.doi.org/10.1103/RevModPhys.21.434",
  "relation": {},
  "ISSN": [
    "0034-6861"
  ],
  "subject": [],
  "container-title-short": "Rev. Mod. Phys.",
  "published": {
    "date-parts": [
      [
        1949,
        7,
        1
      ]
    ]
  }
}