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  "authors": [
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      "raw_name": "A.\u2009A. Osipov", 
      "affiliations": [
        {
          "country": "JINR", 
          "value": "Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, 141980 Dubna, Russia"
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      ], 
      "surname": "Osipov", 
      "given_names": "A.\u2009A.", 
      "full_name": "Osipov, A.\u2009A."
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  "titles": [
    {
      "source": "APS", 
      "title": "Proper-time evaluation of the effective action: Unequal masses in the loop"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.104.105019"
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  "publication_info": [
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      "journal_volume": "104", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "10", 
      "year": 2021
    }
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    {
      "statement": "Published by the American Physical Society", 
      "year": "2021"
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      "categories": [
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      "value": "2110.05590"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "The Fock-Schwinger proper-time method is used to derive the effective action in the field theory with the chiral <math><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo><mo>\u00d7</mo><mi>U</mi><mo>(</mo><mn>3</mn><mo>)</mo></math> symmetry explicitly broken by unequal masses of heavy particles. The one-loop effective action is presented as a series in inverse powers of heavy masses. The first two Seeley-DeWitt coefficients of this expansion are explicitly calculated. This powerful technique opens a promising avenue for studying explicit flavor symmetry-breaking effects in the effective field theories."
    }
  ], 
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