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<p>We propose a method to compute expectation values in 1+1-dimensional massive Quantum Field Theories (QFTs) with line defects using Relativistic Continuous Matrix Product State (RCMPS). Exploiting Euclidean invariance, we use a quantization scheme where (imaginary) time runs perpendicularly to the defect. With this choice, correlation functions of local operators in the presence of the defect can be computed as expectation values of extended operators in the no-defect vacuum, which can be approximated by a homogeneous RCMPS. We demonstrate the effectiveness of this machinery by computing correlation functions of local <i>bulk</i> and <i>defect</i> operators in <i>ϕ</i><sup>4</sup> theory with a magnetic line defect, in perturbative, strong coupling, critical, and symmetry-broken regimes.</p>

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A relativistic continuous matrix product state study of field theories with defects

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月13日

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  • Karan Tiwana,
  • Edoardo Lauria,
  • Antoine Tilloy

摘要

We propose a method to compute expectation values in 1+1-dimensional massive Quantum Field Theories (QFTs) with line defects using Relativistic Continuous Matrix Product State (RCMPS). Exploiting Euclidean invariance, we use a quantization scheme where (imaginary) time runs perpendicularly to the defect. With this choice, correlation functions of local operators in the presence of the defect can be computed as expectation values of extended operators in the no-defect vacuum, which can be approximated by a homogeneous RCMPS. We demonstrate the effectiveness of this machinery by computing correlation functions of local bulk and defect operators in ϕ4 theory with a magnetic line defect, in perturbative, strong coupling, critical, and symmetry-broken regimes.