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<p>We generalize chiral perturbation theory with spinless matter fields in the fundamental representation of SU(<i>N</i>) to curved spacetime in the presence of an external gravitational field. This work is motivated by recent interest in investigating energy-momentum tensor matrix elements of matter fields. The complete chiral Lagrangian is constructed, including both minimal extensions from flat spacetime and new curvature-induced terms, up to the next-to-next-to-leading order in the chiral expansion, <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> <mfenced close=")" open="("> <msup> <mi>p</mi> <mn>3</mn> </msup> </mfenced> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{O}\left({p}^3\right) \)</EquationSource> </InlineEquation>. We perform a systematic one-loop renormalization of the generating functional using the background field method combined with the heat-kernel technique, and explicitly compute the resulting ultraviolet divergences.</p>

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Renormalization of chiral perturbation theory with spinless matter field in curved spacetime

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月18日

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  • Cheng-Cheng Li,
  • Xiong-Hui Cao,
  • Feng-Kun Guo

摘要

We generalize chiral perturbation theory with spinless matter fields in the fundamental representation of SU(N) to curved spacetime in the presence of an external gravitational field. This work is motivated by recent interest in investigating energy-momentum tensor matrix elements of matter fields. The complete chiral Lagrangian is constructed, including both minimal extensions from flat spacetime and new curvature-induced terms, up to the next-to-next-to-leading order in the chiral expansion, O p 3 \( \mathcal{O}\left({p}^3\right) \) . We perform a systematic one-loop renormalization of the generating functional using the background field method combined with the heat-kernel technique, and explicitly compute the resulting ultraviolet divergences.