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<p>We explore the dynamics of pure scalar fields rolling on an exponential potential in the absence of any additional background fluid and demonstrate the existence of self-tracking solutions in which the self-perturbations of the scalar field act as an effective radiation background. The validity of these solutions is demonstrated through both analytic techniques and numerical simulations using <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">C</mi> <mtext>osmo</mtext> <mi mathvariant="script">L</mi> <mtext>attice</mtext> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{C}\textrm{osmo}\mathcal{L}\textrm{attice} \)</EquationSource> </InlineEquation>. We discuss applications to string cosmologies with significant trans-Planckian field excursions between inflation and BBN, including the required initial level of scalar perturbations to avoid overshoot.</p>

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Self-tracking solutions for asymptotic scalar fields

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月17日

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  • Martin Mosny,
  • Joseph P. Conlon,
  • Edmund J. Copeland

摘要

We explore the dynamics of pure scalar fields rolling on an exponential potential in the absence of any additional background fluid and demonstrate the existence of self-tracking solutions in which the self-perturbations of the scalar field act as an effective radiation background. The validity of these solutions is demonstrated through both analytic techniques and numerical simulations using C osmo L attice \( \mathcal{C}\textrm{osmo}\mathcal{L}\textrm{attice} \) . We discuss applications to string cosmologies with significant trans-Planckian field excursions between inflation and BBN, including the required initial level of scalar perturbations to avoid overshoot.