{
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  "authors": [
    {
      "raw_name": "Riccardo Fantoni", 
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Universit\u00e0 di Trieste, Dipartimento di Fisica, Strada Costiera 11, 34151 Grignano (Trieste), Italy"
        }
      ], 
      "surname": "Fantoni", 
      "given_names": "Riccardo", 
      "full_name": "Fantoni, Riccardo"
    }, 
    {
      "raw_name": "John R. Klauder", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics and Department of Mathematics University of Florida, Gainesville, Florida 32611-8440, USA"
        }
      ], 
      "surname": "Klauder", 
      "given_names": "John R.", 
      "full_name": "Klauder, John R."
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Affine quantization of <math><mo>(</mo><msup><mi>\u03c6</mi><mn>4</mn></msup><msub><mo>)</mo><mn>4</mn></msub></math> succeeds while canonical quantization fails"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.103.076013"
    }
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  "publication_info": [
    {
      "journal_volume": "103", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "7", 
      "year": 2021
    }
  ], 
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    "submission_number": "2cf5978cb4c111ec837fd6d834be26e1"
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  "page_nr": [
    5
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      "url": "https://creativecommons.org/licenses/by/4.0/", 
      "license": "CC-BY-4.0"
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  "copyright": [
    {
      "statement": "Published by the American Physical Society", 
      "year": "2021"
    }
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  "control_number": "61599", 
  "record_creation_date": "2021-04-22T20:30:14.082872", 
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      "primary": "HEP"
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    {
      "primary": "Citeable"
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      "primary": "Published"
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  "arxiv_eprints": [
    {
      "categories": [
        "hep-lat", 
        "hep-th", 
        "physics.comp-ph"
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      "value": "2012.09991"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "Covariant scalar field quantization, nicknamed <math><mo>(</mo><msup><mi>\u03c6</mi><mi>r</mi></msup><msub><mo>)</mo><mi>n</mi></msub></math>, where <math><mi>r</mi></math> denotes the power of the interaction term and <math><mi>n</mi><mo>=</mo><mi>s</mi><mo>+</mo><mn>1</mn></math> where <math><mi>s</mi></math> is the spatial dimension and 1 adds time. Models such that <math><mi>r</mi><mo>&lt;</mo><mn>2</mn><mi>n</mi><mo>/</mo><mo>(</mo><mi>n</mi><mo>\u2212</mo><mn>2</mn><mo>)</mo></math> can be treated by canonical quantization, while models such that <math><mi>r</mi><mo>&gt;</mo><mn>2</mn><mi>n</mi><mo>/</mo><mo>(</mo><mi>n</mi><mo>\u2212</mo><mn>2</mn><mo>)</mo></math> are nonrenormalizable, leading to perturbative infinities, or, if treated as a unit, emerge as \u2018free theories\u2019. Models such as <math><mi>r</mi><mo>=</mo><mn>2</mn><mi>n</mi><mo>/</mo><mo>(</mo><mi>n</mi><mo>\u2212</mo><mn>2</mn><mo>)</mo></math>, e.g., <math><mi>r</mi><mo>=</mo><mi>n</mi><mo>=</mo><mn>4</mn></math>, again using canonical quantization also become \u2018free theories\u2019, which must be considered quantum failures. However, there exists a different approach called affine quantization that promotes a different set of classical variables to become the basic quantum operators and it offers different results, such as models for which <math><mi>r</mi><mo>&gt;</mo><mn>2</mn><mi>n</mi><mo>/</mo><mo>(</mo><mi>n</mi><mo>\u2212</mo><mn>2</mn><mo>)</mo></math>, which has recently correctly quantized <math><mo>(</mo><msup><mi>\u03c6</mi><mn>12</mn></msup><msub><mo>)</mo><mn>3</mn></msub></math>. In the present paper we show, with the aid of a Monte Carlo analysis, that one of the special cases where <math><mi>r</mi><mo>=</mo><mn>2</mn><mi>n</mi><mo>/</mo><mo>(</mo><mi>n</mi><mo>\u2212</mo><mn>2</mn><mo>)</mo></math>, specifically the case <math><mi>r</mi><mo>=</mo><mi>n</mi><mo>=</mo><mn>4</mn></math>, can be acceptably quantized using affine quantization."
    }
  ], 
  "imprints": [
    {
      "date": "2021-04-22", 
      "publisher": "APS"
    }
  ]
}