Exploring Hamiltonian truncation in d=2+1



Elias-Miró, Joan and Hardy, Edward ORCID: 0000-0003-3263-6575
(2020) Exploring Hamiltonian truncation in d=2+1. Physical Review D, 102 (6). 065001-.

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Abstract

We initiate the application of Hamiltonian Truncation methods to solve strongly coupled QFTs in $d=2+1$. By analysing perturbation theory with a Hamiltonian Truncation regulator, we pinpoint the challenges of such an approach and propose a way that these can be addressed. This enables us to formulate Hamiltonian Truncation theory for $\phi^4$ in $d=2+1$, and to study its spectrum at weak and strong coupling. The results obtained agree well with the predictions of a weak/strong self-duality possessed by the theory. The $\phi^4$ interaction is a strongly relevant UV divergent perturbation, and represents a case study of a more general scenario. Thus, the approach developed should be applicable to many other QFTs of interest.

Item Type: Article
Additional Information: 51 pages, 14 figures
Uncontrolled Keywords: hep-th, hep-th, cond-mat.stat-mech, cond-mat.str-el, hep-lat, hep-ph
Depositing User: Symplectic Admin
Date Deposited: 18 Sep 2020 07:20
Last Modified: 18 Jan 2023 23:32
DOI: 10.1103/physrevd.102.065001
Open Access URL: http://doi.org/10.1103/physrevd.102.065001
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3101603