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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.09797 |
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| _version_ | 1866917966115766272 |
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| author | Tiwana, Karan Lauria, Edoardo Tilloy, Antoine |
| author_facet | Tiwana, Karan Lauria, Edoardo Tilloy, Antoine |
| contents | 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 | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_09797 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A relativistic continuous matrix product state study of field theories with defects Tiwana, Karan Lauria, Edoardo Tilloy, Antoine High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics 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. |
| title | A relativistic continuous matrix product state study of field theories with defects |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2501.09797 |