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-.
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 |
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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 |