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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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  <dc:creator>Cork, Josh</dc:creator>
  <dc:creator>Kutluk, Emine</dc:creator>
  <dc:creator>Lechtenfeld, Olaf</dc:creator>
  <dc:creator>Popov, Alexander</dc:creator>
  <dc:date>2021-01-01</dc:date>
  <dc:description>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   $I$     × S 3, where   $I$     = (−π/2, π/2) and S 3 is the round three-sphere. By considering only bundles P →   $I$     × S 3 which are framed over the temporal boundary ∂   $I$     × S 3, we introduce additional degrees of freedom which restrict gauge transformations to be identity on ∂   $I$     × 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 ≅ C ∞(S 3, G)/G is a group manifold, the dynamics is expected to be integrable.</dc:description>
  <dc:identifier>https://aperta.ulakbim.gov.trrecord/240306</dc:identifier>
  <dc:identifier>oai:aperta.ulakbim.gov.tr:240306</dc:identifier>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>http://www.opendefinition.org/licenses/cc-by</dc:rights>
  <dc:source>Journal of High Energy Physics 2021(9)</dc:source>
  <dc:title>A low-energy limit of Yang-Mills theory on de Sitter space</dc:title>
  <dc:type>info:eu-repo/semantics/article</dc:type>
  <dc:type>publication-article</dc:type>
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