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<p>In this short paper, we investigate the consequences of observer dependence of the quantum effective potential for an interacting field theory. Specializing to <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10714_2025_3449_Article_IEq1.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="38" /> </InlineMediaObject> <EquationSource Format="TEX">\(d+2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>d</mi> <mo>+</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> dimensional Euclidean Rindler space, we develop the formalism to calculate the effective potential. While the free energy diverges due to the presence of the Rindler horizon, the effective potential, which is a local function of space, is finite after the necessary renormalization procedure. We apply the results of our formalism to understand the restoration of spontaneously broken <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10714_2025_3449_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mathbb {Z}_2\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="double-struck">Z</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> symmetry in three and four dimensions.</p>

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Observer dependence of quantum effective potential: insights from a Rindler observer

  • 期刊论文

  • 发表日期：

    2025年7月23日

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  • Pallab Basu,
  • S. R. Haridev,
  • Prasant Samantray

摘要

In this short paper, we investigate the consequences of observer dependence of the quantum effective potential for an interacting field theory. Specializing to \(d+2\) d + 2 dimensional Euclidean Rindler space, we develop the formalism to calculate the effective potential. While the free energy diverges due to the presence of the Rindler horizon, the effective potential, which is a local function of space, is finite after the necessary renormalization procedure. We apply the results of our formalism to understand the restoration of spontaneously broken \(\mathbb {Z}_2\) Z 2 symmetry in three and four dimensions.