Abstract
In this work, we formulate a path-integral optimization for two dimensional conformal field theories perturbed by relevant operators. We present several evidences how this optimization mechanism works, based on calculations in free field theories as well as general arguments of RG flows in field theories. Our optimization is performed by minimizing the path-integral complexity functional that depends on the metric and also on the relevant couplings. Then, we compute the optimal metric perturbatively and find that it agrees with the time slice of the hyperbolic metric perturbed by a scalar field in the AdS/CFT correspondence. Last but not the least, we estimate contributions to complexity from relevant perturbations.
| Original language | English |
|---|---|
| Article number | 86 |
| Journal | Journal of High Energy Physics |
| Volume | 2018 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 1 2018 |
Bibliographical note
Publisher Copyright:© 2018, The Author(s).
Funding
Article funded by SCOAP3.
| Funders | Funder number |
|---|---|
| WPI Initiative | |
| World Premier International Research Center Initiative | |
| National Science Foundation Arctic Social Science Program | 1521045, NSF-PHY/1521045 |
| Simons Foundation | 16H02182, KAKENHI 17H06787 |
| Japan Society for the Promotion of Science | 17F17023 |
| Ministry of Education, Culture, Sports, Science and Technology |
Keywords
- AdS-CFT Correspondence
- Conformal Field Theory
- Renormalization Group
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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