Nonperturbative light-front Hamiltonian methods

JR Hiller - Progress in Particle and Nuclear Physics, 2016 - Elsevier
We examine the current state-of-the-art in nonperturbative calculations done with
Hamiltonians constructed in light-front quantization of various field theories. The language of …

Hamiltonian truncation study of the theory in two dimensions

S Rychkov, LG Vitale - Physical Review D, 2015 - APS
We defend the Fock-space Hamiltonian truncation method, which allows us to calculate
numerically the spectrum of strongly coupled quantum field theories, by putting them in a …

Matrix product states and variational methods applied to critical quantum field theory

A Milsted, J Haegeman, TJ Osborne - Physical Review D—Particles, Fields …, 2013 - APS
We study the second-order quantum phase transition of massive real scalar field theory with
a quartic interaction in (1+ 1) dimensions on an infinite spatial lattice using matrix product …

Tensor network analysis of critical coupling in two dimensional ϕ4 theory

D Kadoh, Y Kuramashi, Y Nakamura, R Sakai… - Journal of high energy …, 2019 - Springer
A bstract We make a detailed analysis of the spontaneous Z 2-symmetry breaking in the two
dimensional real ϕ 4 theory with the tensor renormalization group approach, which allows …

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 …

NLO renormalization in the Hamiltonian truncation

J Elias-Miro, S Rychkov, LG Vitale - Physical Review D, 2017 - APS
Hamiltonian truncation (also known as “truncated spectrum approach”) is a numerical
technique for solving strongly coupled quantum field theories, in which the full Hilbert space …

Monte Carlo simulation calculation of the critical coupling constant for two-dimensional continuum theory

W Loinaz, RS Willey - Physical Review D, 1998 - APS
Monte Carlo simulation calculation of the critical coupling constant for two-dimensional
continuum 4 theory Page 1 Monte Carlo simulation calculation of the critical coupling constant for …

Monte Carlo determination of the critical coupling in theory

P Bosetti, B De Palma, M Guagnelli - Physical Review D, 2015 - APS
We use lattice formulation of ϕ 4 theory in order to investigate nonperturbative features of its
continuum limit in two dimensions. In particular, by means of Monte Carlo calculations, we …

Improved lattice measurement of the critical coupling in theory

D Schaich, W Loinaz - Physical Review D—Particles, Fields, Gravitation, and …, 2009 - APS
We use Monte Carlo simulations to obtain an improved lattice measurement of the critical
coupling constant [λ/μ 2] crit for the continuum (1+ 1)-dimensional (λ/4) ϕ 4 theory. We find …

RG flow from ϕ 4 theory to the 2D Ising model

N Anand, VX Genest, E Katz, ZU Khandker… - Journal of High Energy …, 2017 - Springer
A bstract We study 1+ 1 dimensional ϕ 4 theory using the recently proposed method of
conformal truncation. Starting in the UV CFT of free field theory, we construct a complete …