Results 11 to 20 of about 395,539 (297)

Optimisation of Thimble simulations and quantum dynamics of multiple fields in real time

open access: yesJournal of High Energy Physics, 2022
We apply the Generalised Thimble approach to the computation of exact path integrals and correlators in real-time quantum field theory. We first investigate the details of the numerical implementation and ways of optimizing the algorithm. We subsequently
Simon Woodward   +3 more
doaj   +1 more source

A solution to the 4-tachyon off-shell amplitude in cubic string field theory [PDF]

open access: yes, 2006
We derive an analytic series solution of the elliptic equations providing the 4-tachyon off-shell amplitude in cubic string field theory (CSFT). From such a solution we compute the exact coefficient of the quartic effective action relevant for time ...
A. Fotopoulos   +37 more
core   +2 more sources

Exact Computations in Topological Abelian Chern-Simons and BF Theories

open access: yesAdvances in High Energy Physics, 2017
We introduce Deligne cohomology that classifies U1 fibre bundles over 3 manifolds endowed with connections. We show how the structure of Deligne cohomology classes provides a way to perform exact (nonperturbative) computations in U1 Chern-Simons theory ...
Philippe Mathieu
doaj   +1 more source

Exact One-Loop Thermal Free Energies of Solitons [PDF]

open access: yes, 2001
I show how to compute the exact one-loop thermal correction to the free energy of a soliton. The method uses the effective potential as an auxiliary step to ensure that the soliton is quantized around the appropriate vacuum.
Graham, N.
core   +2 more sources

Adjoint-based exact Hessian computation [PDF]

open access: yesBIT Numerical Mathematics, 2021
AbstractWe consider a scalar function depending on a numerical solution of an initial value problem, and its second-derivative (Hessian) matrix for the initial value. The need to extract the information of the Hessian or to solve a linear system having the Hessian as a coefficient matrix arises in many research fields such as optimization, Bayesian ...
Shin-ichi Ito   +2 more
openaire   +3 more sources

Nematic confined phases in the U(1) quantum link model on a triangular lattice: Near-term quantum computations of string dynamics on a chip

open access: yesPhysical Review Research, 2022
The U(1) quantum link model on the triangular lattice has two rotation-symmetry-breaking nematic confined phases. Static external charges are connected by confining strings consisting of individual strands with fractionalized electric flux.
D. Banerjee   +4 more
doaj   +1 more source

A Convolve-And-MErge Approach for Exact Computations on High-Performance Reconfigurable Computers

open access: yesInternational Journal of Reconfigurable Computing, 2012
This work presents an approach for accelerating arbitrary-precision arithmetic on high-performance reconfigurable computers (HPRCs). Although faster and smaller, fixed-precision arithmetic has inherent rounding and overflow problems that can cause errors
Esam El-Araby   +3 more
doaj   +1 more source

Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations

open access: yesComplexity, 2019
We aim to construct exact and explicit solutions to a generalized Bogoyavlensky-Konopelchenko equation through the Maple computer algebra system. The considered nonlinear equation is transformed into a Hirota bilinear form, and symbolic computations are ...
Shou-Ting Chen, Wen-Xiu Ma
doaj   +1 more source

Solving systems of polynomial equations using Gröbner basis calculations with applications to mechanics

open access: yesComputer Assisted Methods in Engineering and Science, 2023
Solving systems of algebraic equations is presented using the Gröbner Basis Package of the computer algebra system MAPLE V. The Grobner basis computations allow exact conclusions on the solutions of sets of polynomial equations, such as to decide if the
György Popper
doaj  

Inner symmetries of the spatially singular part of the solutions of the Burgers equation and their Lie representations

open access: yesResults in Physics, 2020
We describe two new discrete symmetries of the inviscid Burgers (or Riemann–Hopf) equation ut+uux=0. We derived both of them using a local, formal approach of Hopf algebraic renormalization, a tool recently used in algorithmic computations. We prove that
G. Barad, E. Czeizler, A. Paun
doaj   +1 more source

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