Emergent Composite Particles from the Universal Exact Identities in Quantum Many-Body Systems with Generic Bilinear Interactions
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912599384260608 |
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| author | Li, Hui |
| author_facet | Li, Hui |
| contents | A fundamental challenge in quantum many-body physics is to understand the universal properties of strongly correlated systems. In this work, we establish a universal and exact identity from the Dyson-Schwinger equations within the Keldysh-Schwinger field theory for systems with generic bilinear interactions. Our derivation demonstrates the emergence of composite particles as "elementary excitations", whose Green's functions definitively determine the original single-particle Green's function. This universal relation uniquely identifies the composite particles governing correlations and rigorously connects their spectra to the observable single-particle spectrum. Thus, our exact identity reveals a new pathway toward a paradigm for understanding many-body correlated systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_17648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent Composite Particles from the Universal Exact Identities in Quantum Many-Body Systems with Generic Bilinear Interactions Li, Hui Strongly Correlated Electrons A fundamental challenge in quantum many-body physics is to understand the universal properties of strongly correlated systems. In this work, we establish a universal and exact identity from the Dyson-Schwinger equations within the Keldysh-Schwinger field theory for systems with generic bilinear interactions. Our derivation demonstrates the emergence of composite particles as "elementary excitations", whose Green's functions definitively determine the original single-particle Green's function. This universal relation uniquely identifies the composite particles governing correlations and rigorously connects their spectra to the observable single-particle spectrum. Thus, our exact identity reveals a new pathway toward a paradigm for understanding many-body correlated systems. |
| title | Emergent Composite Particles from the Universal Exact Identities in Quantum Many-Body Systems with Generic Bilinear Interactions |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2509.17648 |