A relativistic continuous matrix product state study of field theories with defects
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)097 |
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| author | Karan Tiwana Edoardo Lauria Antoine Tilloy |
| author_facet | Karan Tiwana Edoardo Lauria Antoine Tilloy |
| author_sort | Karan Tiwana |
| collection | DOAJ |
| description | Abstract 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 ϕ 4 theory with a magnetic line defect, in perturbative, strong coupling, critical, and symmetry-broken regimes. |
| format | Article |
| id | doaj-art-d1bf7976a4a24254902a6259440ae0e2 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-d1bf7976a4a24254902a6259440ae0e22025-08-20T03:25:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513310.1007/JHEP05(2025)097A relativistic continuous matrix product state study of field theories with defectsKaran Tiwana0Edoardo Lauria1Antoine Tilloy2Laboratoire de Physique de l’École Normale Supérieure, Mines Paris - PSL, Inria, CNRS, ENS-PSL, Sorbonne Université, PSL Research UniversityLaboratoire de Physique de l’École Normale Supérieure, Mines Paris - PSL, Inria, CNRS, ENS-PSL, Sorbonne Université, PSL Research UniversityLaboratoire de Physique de l’École Normale Supérieure, Mines Paris - PSL, Inria, CNRS, ENS-PSL, Sorbonne Université, PSL Research UniversityAbstract 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 ϕ 4 theory with a magnetic line defect, in perturbative, strong coupling, critical, and symmetry-broken regimes.https://doi.org/10.1007/JHEP05(2025)097Boundary Quantum Field TheoryField Theories in Lower Dimensions |
| spellingShingle | Karan Tiwana Edoardo Lauria Antoine Tilloy A relativistic continuous matrix product state study of field theories with defects Journal of High Energy Physics Boundary Quantum Field Theory Field Theories in Lower Dimensions |
| title | A relativistic continuous matrix product state study of field theories with defects |
| title_full | A relativistic continuous matrix product state study of field theories with defects |
| title_fullStr | A relativistic continuous matrix product state study of field theories with defects |
| title_full_unstemmed | A relativistic continuous matrix product state study of field theories with defects |
| title_short | A relativistic continuous matrix product state study of field theories with defects |
| title_sort | relativistic continuous matrix product state study of field theories with defects |
| topic | Boundary Quantum Field Theory Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP05(2025)097 |
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