Moduli Spaces in CFT: Bootstrap Equation in a Perturbative Example
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911983587033088 |
|---|---|
| author | Cuomo, Gabriel Rastelli, Leonardo Sharon, Adar |
| author_facet | Cuomo, Gabriel Rastelli, Leonardo Sharon, Adar |
| contents | Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. The simplest bootstrap equation arises by expanding a two-point function of local operators in two channels, at short distance using the OPE and at large distance using the EFT in the broken vacuum. We illustrate this equation in what is arguably the simplest perturbative model that exhibits conformal symmetry breaking, namely the real $ABC$ model in $d = 4 -ε$ dimensions. We investigate the convergence properties of the bootstrap equation and check explicitly many of the non-trivial relations that it imposes on theory data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02679 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli Spaces in CFT: Bootstrap Equation in a Perturbative Example Cuomo, Gabriel Rastelli, Leonardo Sharon, Adar High Energy Physics - Theory Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. The simplest bootstrap equation arises by expanding a two-point function of local operators in two channels, at short distance using the OPE and at large distance using the EFT in the broken vacuum. We illustrate this equation in what is arguably the simplest perturbative model that exhibits conformal symmetry breaking, namely the real $ABC$ model in $d = 4 -ε$ dimensions. We investigate the convergence properties of the bootstrap equation and check explicitly many of the non-trivial relations that it imposes on theory data. |
| title | Moduli Spaces in CFT: Bootstrap Equation in a Perturbative Example |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.02679 |