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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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        "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"
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        "affiliation": "Physics Department, Middle East Technical University, Dumlup\u0131nar Bulvar\u0131 No. 1, Ankara, 06800, Turkey", 
        "name": "Kutluk, Emine"
      }, 
      {
        "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"
      }, 
      {
        "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"
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    "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>", 
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      "issue": "9", 
      "title": "Journal of High Energy Physics", 
      "volume": "2021"
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    "title": "A low-energy limit of Yang-Mills theory on de Sitter space"
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