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Digitization of scalar fields for quantum computing
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 …
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 …
and robust GIScience methods for use in transdisciplinary problem solving and decision …
Dynamical mean-field theory for bosons
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 …
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 …
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 …
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 …
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 …
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 …
dimensions using a non-standard action which is invariant under continuous de-formations …
Regularization of diagrammatic series with zero convergence radius
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 …
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 …
2 N/g 2 and for N= 2 or 3. We show that in the limit β→-∞, the path integral is dominated by …