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  "authors": [
    {
      "raw_name": "Timothy G. Raben", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "University of Kansas, Department of Physics & Astronomy 1082 Malott,1251 Wescoe Hall Dr. Lawrence, Kansas 66045, USA"
        }
      ], 
      "surname": "Raben", 
      "given_names": "Timothy G.", 
      "full_name": "Raben, Timothy G."
    }, 
    {
      "raw_name": "Chung-I Tan", 
      "affiliations": [
        {
          "country": "USA", 
          "value": "Department of Physics, Brown University Box 1843 182 Hope Street Providence, Rhode Island 02912, USA"
        }
      ], 
      "surname": "Tan", 
      "given_names": "Chung-I", 
      "full_name": "Tan, Chung-I"
    }
  ], 
  "titles": [
    {
      "source": "APS", 
      "title": "Minkowski conformal blocks and the Regge limit for Sachdev-Ye-Kitaev-like models"
    }
  ], 
  "dois": [
    {
      "value": "10.1103/PhysRevD.98.086009"
    }
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  "publication_info": [
    {
      "journal_volume": "98", 
      "journal_title": "Physical Review D", 
      "material": "article", 
      "journal_issue": "8", 
      "year": 2018
    }
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    "submission_number": "bca49440b8c511eaad8602163e01809a"
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  "page_nr": [
    42
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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": "2018"
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  "control_number": "42999", 
  "record_creation_date": "2018-10-09T17:00:27.111740", 
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      "primary": "Published"
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  "arxiv_eprints": [
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      "categories": [
        "hep-th"
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      "value": "1801.04208"
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  "abstracts": [
    {
      "source": "APS", 
      "value": "We discuss scattering in a conformal field theory (CFT) via the conformal partial-wave analysis and the Regge limit. The focus of this paper is on understanding an operator product expansion (OPE) with Minkowski conformal blocks. Starting with a t-channel OPE, it leads to an expansion for an s-channel scattering amplitude in terms of t-channel exchanges. By contrasting with Euclidean conformal blocks we see a precise relationship between conformal blocks in the two limits without preforming an explicit analytic continuation. We discuss a generic feature for a CFT correlation function having singular <math><mrow><msup><mrow><mi>F</mi></mrow><mrow><mo>(</mo><mi>M</mi><mo>)</mo></mrow></msup><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo><mo>\u223c</mo><msup><mrow><mi>u</mi></mrow><mrow><mo>\u2212</mo><mi>\u03b4</mi></mrow></msup></mrow></math>, <math><mi>\u03b4</mi><mo>&gt;</mo><mn>0</mn></math>, in the limit <math><mi>u</mi><mo>\u2192</mo><mn>0</mn></math> and <math><mi>v</mi><mo>\u2192</mo><mn>1</mn></math>. Here, <math><mi>\u03b4</mi><mo>=</mo><mo>(</mo><msub><mo>\u2113</mo><mrow><mi>eff</mi></mrow></msub><mo>\u2212</mo><mn>1</mn><mo>)</mo><mo>/</mo><mn>2</mn></math>, with <math><msub><mo>\u2113</mo><mrow><mi>eff</mi></mrow></msub></math> serving as an effective spin and it can be determined through an OPE. In particular, it is bounded from above, <math><msub><mo>\u2113</mo><mrow><mi>eff</mi></mrow></msub><mo>\u2264</mo><mn>2</mn></math>, for all CFTs with a gravity dual, and it can be associated with string modes interpolating the graviton in AdS. This singularity is historically referred to as the Pomeron. This bound is nearly saturated by SYK-like effective <math><mi>d</mi><mo>=</mo><mn>1</mn></math> CFT, and its stringy and thermal corrections have piqued current interests. Our analysis has been facilitated by dealing with Wightman functions. We provide a direct treatment in diagonalizing dynamical equations via harmonic analysis over physical scattering regions. As an example these methods are applied to the SYK model."
    }
  ], 
  "imprints": [
    {
      "date": "2018-10-08", 
      "publisher": "APS"
    }
  ]
}