Matrix product approximations to conformal field theories
| Autor: | Robert König, Volkher B. Scholz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | Nuclear Physics B, Vol 920, Iss C, Pp 32-121 (2017) |
| Druh dokumentu: | article |
| ISSN: | 0550-3213 1873-1562 |
| DOI: | 10.1016/j.nuclphysb.2017.04.006 |
| Popis: | We establish rigorous error bounds for approximating correlation functions of conformal field theories (CFTs) by certain finite-dimensional tensor networks. For chiral CFTs, the approximation takes the form of a matrix product state. For full CFTs consisting of a chiral and an anti-chiral part, the approximation is given by a finitely correlated state. We show that the bond dimension scales polynomially in the inverse of the approximation error and sub-exponentially in inverse of the minimal distance between insertion points. We illustrate our findings using Wess–Zumino–Witten models, and show that there is a one-to-one correspondence between group-covariant MPS and our approximation. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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