| Article | |
| Report number | arXiv:1706.09929 ; CERN-TH-2017-124 |
| Title | NLO Renormalization in the Hamiltonian Truncation |
| Related title | NLO Renormalization in the Hamiltonian Truncation |
| Author(s) | Elias-Miro, Joan (INFN, Trieste ; SISSA, Trieste) ; Rychkov, Slava (CERN ; Ecole Normale Superieure ; UPMC, Paris (main)) ; Vitale, Lorenzo G. (Boston U. ; ITPP, Lausanne) |
| Publication | 2017-09-27 |
| Imprint | 2017-06-29 |
| Number of pages | 43 |
| Note | 28pp + appendices, detailed version of arXiv:1706.06121 |
| In: | Phys. Rev. D 96 (2017) 065024 |
| DOI | 10.1103/PhysRevD.96.065024 |
| Subject category | cond-mat.str-el ; hep-th ; Particle Physics - Theory |
| Abstract | Hamiltonian Truncation (a.k.a. Truncated Spectrum Approach) is a numerical technique for solving strongly coupled QFTs, in which the full Hilbert space is truncated to a finite-dimensional low-energy subspace. The accuracy of the method is limited only by the available computational resources. The renormalization program improves the accuracy by carefully integrating out the high-energy states, instead of truncating them away. In this paper we develop the most accurate ever variant of Hamiltonian Truncation, which implements renormalization at the cubic order in the interaction strength. The novel idea is to interpret the renormalization procedure as a result of integrating out exactly a certain class of high-energy "tail states". We demonstrate the power of the method with high-accuracy computations in the strongly coupled two-dimensional quartic scalar theory, and benchmark it against other existing approaches. Our work will also be useful for the future goal of extending Hamiltonian Truncation to higher spacetime dimensions. |
| Copyright/License | arXiv nonexclusive-distrib. 1.0 Publication: © 2017-2025 authors |
Corresponding record in: Inspire
Record created 2017-07-23, last modified 2023-12-07
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