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

• DOI: 10.1007/jhep05(2025)097
• Publication Date: 2025-05-17T10:34:14Z
• Authors: Karan Tiwana; Edoardo Lauria; Antoine Tilloy
• Keywords: Matrix (chemical analysis)

A bstract 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 quantization scheme where (imaginary) time runs perpendicularly the defect. With this choice, correlation functions of local operators presence defect can be computed as extended no-defect vacuum, which approximated by homogeneous RCMPS. demonstrate effectiveness machinery computing bulk and ϕ 4 theory magnetic defect, perturbative, strong coupling, critical, symmetry-broken regimes.