Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2405.14627 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912236755222528 |
|---|---|
| author | Haruna, Junichi Shimizu, Keito Yamada, Masatoshi |
| author_facet | Haruna, Junichi Shimizu, Keito Yamada, Masatoshi |
| contents | It is known that the $U(2)$ Wess-Zumino-Witten model is dual to the free fermion theory in two dimensions via non-Abelian bosonization. While it is decomposed into the $SU(2)$ Wess-Zumino-Witten model and a free compact boson, the former is believed to be equivalent to the $O(3)$ nonlinear sigma model with the theta term at $θ=π$. In this work, we reexamine this duality through the lens of non-perturbative renormalization group (RG) flow. We analyze the RG flow structure of the $O(3)$ nonlinear sigma model with the theta term in two dimensions using the functional renormalization group. Our results reveal a nontrivial fixed point with a nonzero value of the topological coupling. The scaling dimensions (critical exponents) at this fixed point suggest the realization of a duality between the $O(3)$ nonlinear sigma model with the theta term and the free fermion theory, indicating that these models belong to the same universality class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_14627 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality Haruna, Junichi Shimizu, Keito Yamada, Masatoshi High Energy Physics - Theory Strongly Correlated Electrons It is known that the $U(2)$ Wess-Zumino-Witten model is dual to the free fermion theory in two dimensions via non-Abelian bosonization. While it is decomposed into the $SU(2)$ Wess-Zumino-Witten model and a free compact boson, the former is believed to be equivalent to the $O(3)$ nonlinear sigma model with the theta term at $θ=π$. In this work, we reexamine this duality through the lens of non-perturbative renormalization group (RG) flow. We analyze the RG flow structure of the $O(3)$ nonlinear sigma model with the theta term in two dimensions using the functional renormalization group. Our results reveal a nontrivial fixed point with a nonzero value of the topological coupling. The scaling dimensions (critical exponents) at this fixed point suggest the realization of a duality between the $O(3)$ nonlinear sigma model with the theta term and the free fermion theory, indicating that these models belong to the same universality class. |
| title | Functional Renormalization Group Analysis of $O(3)$ Nonlinear Sigma Model and Non-Abelian Bosonization Duality |
| topic | High Energy Physics - Theory Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2405.14627 |