1 Ocak 2021 Dergi makalesi Açık Erişim

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

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    <subfield code="a">&lt;p&gt;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.&lt;/p&gt;</subfield>
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    <subfield code="a">Cork, Josh</subfield>
    <subfield code="u">Institut für Theoretische Physik and Riemann Center for Geometry and Physics, Leibniz Universität Hannover, Appelstraße 2, Hannover, 30167, Germany</subfield>
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    <subfield code="a">10.1007/JHEP09(2021)089</subfield>
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    <subfield code="a">A low-energy limit of Yang-Mills theory on de Sitter space</subfield>
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    <subfield code="v">2021</subfield>
    <subfield code="p">Journal of High Energy Physics</subfield>
    <subfield code="n">9</subfield>
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    <subfield code="a">Kutluk, Emine</subfield>
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    <subfield code="a">Lechtenfeld, Olaf</subfield>
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