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Abstract <p>Within the framework of the functional renormalization group, we derived the flow equations for the scale-dependent effective action at finite temperature for models involving an antisymmetric rank-2 tensor field. The analysis focuses on scenarios where the vacuum expectation value emerges due to symmetry breaking patterns, specifically <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10092_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="131" /> </InlineMediaObject> <EquationSource Format="TEX">\(SU(n) \to USp(n)\)</EquationSource> <!--PhysPNLt2570007Kalagov-m1--> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10092_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="139" /> </InlineMediaObject> <EquationSource Format="TEX">\(SO(n) \to SU({n \mathord{\left/ {\vphantom {n 2}} \right. \kern-0em} 2})\)</EquationSource> <!--PhysPNLt2570007Kalagov-m2--> </InlineEquation>. The derived equations provide insights into the behavior of these models under varying scales and temperatures, contributing to the understanding of phase transitions in systems with complex symmetry structures.</p>

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Functional Renormalization Group Equations for Antisymmetric Tensor Field Models at Finite Temperature

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • G. Kalagov

摘要

Abstract

Within the framework of the functional renormalization group, we derived the flow equations for the scale-dependent effective action at finite temperature for models involving an antisymmetric rank-2 tensor field. The analysis focuses on scenarios where the vacuum expectation value emerges due to symmetry breaking patterns, specifically \(SU(n) \to USp(n)\) and \(SO(n) \to SU({n \mathord{\left/ {\vphantom {n 2}} \right. \kern-0em} 2})\) . The derived equations provide insights into the behavior of these models under varying scales and temperatures, contributing to the understanding of phase transitions in systems with complex symmetry structures.