Semantic Scholar Open Access 2018 121 sitasi

Path-integral complexity for perturbed CFTs

Arpan Bhattacharyya Paweł Caputa Sumit R. Das N. Kundu Masamichi Miyaji +1 lainnya

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Physics

Penulis (6)

Arpan Bhattacharyya

Paweł Caputa

Sumit R. Das

N. Kundu

Masamichi Miyaji

T. Takayanagi

Format Sitasi

APA MLA BibTeX

Bhattacharyya, A., Caputa, P., Das, S.R., Kundu, N., Miyaji, M., Takayanagi, T. (2018). Path-integral complexity for perturbed CFTs. https://doi.org/10.1007/JHEP07(2018)086

Akses Cepat

Lihat di Sumber doi.org/10.1007/JHEP07(2018)086

Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Total Sitasi: 121×
Sumber Database: Semantic Scholar
DOI: 10.1007/JHEP07(2018)086
Akses: Open Access ✓