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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.02577 |
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| _version_ | 1866911158591553536 |
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| author | Chang, Chih-Hao Ho, Pei-Ming Lee, I-Kwan Shao, Wei-Hsiang |
| author_facet | Chang, Chih-Hao Ho, Pei-Ming Lee, I-Kwan Shao, Wei-Hsiang |
| contents | String field theories exhibit exponential suppression of interactions among the component fields at high energies due to infinite-derivative factors such as $e^{\ell^2 \Box / 2}$ in the vertices. This nonlocality has hindered the development of a consistent Hamiltonian formalism, leading some to question whether such a formalism is even viable. To address this challenge, we introduce a toy model inspired by string field theory and construct its Hamiltonian formalism by demanding that it reproduce all correlation functions derived from the path-integral formalism. Within this framework, we demonstrate for this toy model that physical-state constraints can be imposed to eliminate negative-norm states, while zero-norm states decouple from the physical state space. This approach provides a novel perspective on the nonlocality inherent in string field theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_02577 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards Hamiltonian Formalism for String Field Theory and Nonlocality Chang, Chih-Hao Ho, Pei-Ming Lee, I-Kwan Shao, Wei-Hsiang High Energy Physics - Theory String field theories exhibit exponential suppression of interactions among the component fields at high energies due to infinite-derivative factors such as $e^{\ell^2 \Box / 2}$ in the vertices. This nonlocality has hindered the development of a consistent Hamiltonian formalism, leading some to question whether such a formalism is even viable. To address this challenge, we introduce a toy model inspired by string field theory and construct its Hamiltonian formalism by demanding that it reproduce all correlation functions derived from the path-integral formalism. Within this framework, we demonstrate for this toy model that physical-state constraints can be imposed to eliminate negative-norm states, while zero-norm states decouple from the physical state space. This approach provides a novel perspective on the nonlocality inherent in string field theories. |
| title | Towards Hamiltonian Formalism for String Field Theory and Nonlocality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.02577 |