Scholarlink

<p>We investigate a versatile class of single-field inflationary models governed by a smoothly deformable exponential potential. The potential is characterized by parameters controlling its asymmetry, steepness, and curvature, enabling a continuous interpolation between plateau-like and steep exponential regimes. This flexibility allows the model to exhibit a wide range of inflationary dynamics, including attractor behavior and power-law expansion as emergent features. Within the slow-roll framework, we compute the resulting predictions for the scalar spectral index <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(n_{s}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>n</mi> <mi>s</mi> </msub> </math></EquationSource> </InlineEquation> and the tensor-to-scalar ratio <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(r\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>r</mi> </math></EquationSource> </InlineEquation>, and perform a systematic exploration of the parameter space. Our analysis identifies substantial regions consistent with the latest constraints from Planck and BICEP/Keck, demonstrating the model’s capability to describe both low- and high-scale inflation. The inherent adaptability of this framework, along with its connection to exponential and hyperbolic structures, underscores its potential relevance for embedding inflation in high-energy theories.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A generalized exponential potential for single-field inflation

  • 期刊论文

  • 发表日期：

    2026年6月18日

查看全文
  • Feyzollah Younesizadeh,
  • Younes Younesizadeh

摘要

We investigate a versatile class of single-field inflationary models governed by a smoothly deformable exponential potential. The potential is characterized by parameters controlling its asymmetry, steepness, and curvature, enabling a continuous interpolation between plateau-like and steep exponential regimes. This flexibility allows the model to exhibit a wide range of inflationary dynamics, including attractor behavior and power-law expansion as emergent features. Within the slow-roll framework, we compute the resulting predictions for the scalar spectral index \(n_{s}\) n s and the tensor-to-scalar ratio \(r\) r , and perform a systematic exploration of the parameter space. Our analysis identifies substantial regions consistent with the latest constraints from Planck and BICEP/Keck, demonstrating the model’s capability to describe both low- and high-scale inflation. The inherent adaptability of this framework, along with its connection to exponential and hyperbolic structures, underscores its potential relevance for embedding inflation in high-energy theories.