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A low-energy limit of Yang-Mills theory on de Sitter space

Cork, Josh; Kutluk, Emine; Lechtenfeld, Olaf; Popov, Alexander


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{
  "@context": "https://schema.org/", 
  "@id": 240306, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Institut f\u00fcr Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universit\u00e4t Hannover, Appelstra\u00dfe 2, Hannover, 30167, Germany", 
      "name": "Cork, Josh"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Physics Department, Middle East Technical University, Dumlup\u0131nar Bulvar\u0131 No. 1, Ankara, 06800, Turkey", 
      "name": "Kutluk, Emine"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Institut f\u00fcr Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universit\u00e4t Hannover, Appelstra\u00dfe 2, Hannover, 30167, Germany", 
      "name": "Lechtenfeld, Olaf"
    }, 
    {
      "@type": "Person", 
      "affiliation": "Institut f\u00fcr Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universit\u00e4t Hannover, Appelstra\u00dfe 2, Hannover, 30167, Germany", 
      "name": "Popov, Alexander"
    }
  ], 
  "datePublished": "2021-01-01", 
  "description": "<p>We consider Yang-Mills theory with a compact structure group G on four-dimensional de Sitter space dS4. Using conformal invariance, we transform the theory from dS4 to the finite cylinder   $I$     \u00d7 S 3, where   $I$     = (\u2212\u03c0/2, \u03c0/2) and S 3 is the round three-sphere. By considering only bundles P \u2192   $I$     \u00d7 S 3 which are framed over the temporal boundary \u2202   $I$     \u00d7 S 3, we introduce additional degrees of freedom which restrict gauge transformations to be identity on \u2202   $I$     \u00d7 S 3. We study the consequences of the framing on the variation of the action, and on the Yang-Mills equations. This allows for an infinite-dimensional moduli space of Yang-Mills vacua on dS4. We show that, in the low-energy limit, when momentum along   $I$     is much smaller than along S 3, the Yang-Mills dynamics in dS4 is approximated by geodesic motion in the infinite-dimensional space   $M$     vac of gauge-inequivalent Yang-Mills vacua on S 3. Since   $M$     vac \u2245 C \u221e(S 3, G)/G is a group manifold, the dynamics is expected to be integrable.</p>", 
  "headline": "A low-energy limit of Yang-Mills theory on de Sitter space", 
  "identifier": 240306, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "A low-energy limit of Yang-Mills theory on de Sitter space", 
  "url": "https://aperta.ulakbim.gov.tr/record/240306"
}
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