Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods

AJA James, RM Konik, P Lecheminant… - Reports on Progress …, 2018 - iopscience.iop.org
We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

Injecting the UV into the bootstrap: Ising Field Theory

M Correia, J Penedones, A Vuignier - Journal of High Energy Physics, 2023 - Springer
A bstract We merge together recent developments in the S-matrix bootstrap program to
develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of …

[HTML][HTML] Hamiltonian truncation approach to quenches in the Ising field theory

T Rakovszky, M Mestyán, M Collura, M Kormos… - Nuclear Physics B, 2016 - Elsevier
In contrast to lattice systems where powerful numerical techniques such as matrix product
state based methods are available to study the non-equilibrium dynamics, the non …

Hamiltonian truncation study of the theory in two dimensions. II. The -broken phase and the Chang duality

S Rychkov, LG Vitale - Physical Review D, 2016 - APS
The Fock-space Hamiltonian truncation method is developed further, paying particular
attention to the treatment of the scalar field zero mode. This is applied to the two …

[HTML][HTML] Chirally factorised truncated conformal space approach

DX Horváth, K Hódsági, G Takács - Computer Physics Communications, 2022 - Elsevier
Abstract Truncated Conformal Space Approach (TCSA) is a highly efficient method to
compute spectra, operator matrix elements and time evolution in quantum field theories …

Bootstrapping 2d ϕ4 theory with Hamiltonian truncation data

H Chen, AL Fitzpatrick, D Karateev - Journal of High Energy Physics, 2022 - Springer
A bstract We combine the methods of Hamiltonian Truncation and the recently proposed
generalisation of the S-matrix bootstrap that includes local operators to determine the two …

False vacuum decay in the ()-dimensional theory

D Szász-Schagrin, G Takács - Physical Review D, 2022 - APS
The false vacuum is a metastable state that can occur in quantum field theory, and its decay
was first studied semiclassically by Coleman. In this work, we consider the 1+ 1 dimensional …

Introduction to lightcone conformal truncation: QFT dynamics from CFT data

N Anand, AL Fitzpatrick, E Katz, ZU Khandker… - arXiv preprint arXiv …, 2020 - arxiv.org
We both review and augment the lightcone conformal truncation (LCT) method. LCT is a
Hamiltonian truncation method for calculating dynamical quantities in QFT in infinite volume …

Nonequilibrium time evolution in the sine-Gordon model

D Szász-Schagrin, I Lovas, G Takács - Physical Review B, 2024 - APS
We study the nonequilibrium dynamics of the quantum sine-Gordon model describing a pair
of Josephson-coupled one-dimensional bosonic quasicondensates. Motivated by …

Signatures of chaos in nonintegrable models of quantum field theories

M Srdinšek, T Prosen, S Sotiriadis - Physical review letters, 2021 - APS
We study signatures of quantum chaos in (1+ 1) D quantum field theory (QFT) models. Our
analysis is based on the method of Hamiltonian truncation, a numerical approach for the …