Digitization of scalar fields for quantum computing

N Klco, MJ Savage - Physical Review A, 2019 - APS
Qubit, operator, and gate resources required for the digitization of lattice λ ϕ 4 scalar field
theories onto quantum computers are considered, building upon the foundational work by …

[책][B] Random fields for spatial data modeling

DT Hristopulos - 2020 - Springer
The series aims to: present current and emerging innovations in GIScience; describe new
and robust GIScience methods for use in transdisciplinary problem solving and decision …

Dynamical mean-field theory for bosons

P Anders, E Gull, L Pollet, M Troyer… - New Journal of …, 2011 - iopscience.iop.org
We discuss the recently developed bosonic dynamical mean-field theory (B-DMFT)
framework, which maps a bosonic lattice model onto the self-consistent solution of a bosonic …

Nonlinear aspects of the renormalization group flows of Dyson's hierarchical model

Y Meurice - Journal of Physics A: Mathematical and Theoretical, 2007 - iopscience.iop.org
We review recent results concerning the renormalization group (RG) transformation of
Dyson's hierarchical model (HM). This model can be seen as an approximation of a scalar …

Perturbative boundaries of quantum advantage: Real-time evolution for digitized lattice models

R Maxton, Y Meurice - Physical Review D, 2023 - APS
The real time evolution of quantum field theory models can be calculated order by order in
perturbation theory. For λ ϕ 4 models, the perturbative series have a zero radius of …

New optimization methods for converging perturbative series with a field cutoff

B Kessler, L Li, Y Meurice - Physical Review D, 2004 - APS
We take advantage of the fact that, in λ φ 4 problems, a large field cutoff φ max makes a
perturbative series converge toward values exponentially close to the exact values to make …

Gaussian random fields

DT Hristopulos, DT Hristopulos - Random Fields for Spatial Data Modeling …, 2020 - Springer
Gaussian random fields have a long history in science that dates back to the research of
Andrey Kolmogorov and his group. Their investigation remains an active field of research …

U (1) lattice gauge theory with a topological action

O Akerlund, P De Forcrand - Journal of High Energy Physics, 2015 - Springer
A bstract We investigate the phase diagram of the compact U (1) lattice gauge theory in four
dimensions using a non-standard action which is invariant under continuous de-formations …

Regularization of diagrammatic series with zero convergence radius

L Pollet, NV Prokof'ev, BV Svistunov - Physical review letters, 2010 - APS
The divergence of perturbative expansions which occurs for the vast majority of macroscopic
systems and follows from Dyson's collapse argument prevents the direct use of Feynman's …

Lattice gluodynamics at negative

L Li, Y Meurice - Physical Review D—Particles, Fields, Gravitation, and …, 2005 - APS
We consider Wilson's SU (N) lattice gauge theory (without fermions) at negative values of β=
2 N/g 2 and for N= 2 or 3. We show that in the limit β→-∞, the path integral is dominated by …