scholarly journals 3DP, a three dimensional perturbation theory code.

1972 ◽  
Author(s):  
R. Hardie ◽  
W. Little
Keyword(s):  
Perturbation Theory ◽  
Three Dimensional ◽  
Dimensional Perturbation Theory

scholarly journals Shell-crossing in a ΛCDM Universe

2020 ◽  
Vol 501 (1) ◽  
pp. L71-L75
Author(s):  
Cornelius Rampf ◽  
Oliver Hahn
Keyword(s):  
Dark Matter ◽  
Perturbation Theory ◽  
Large Scale ◽  
Cold Dark Matter ◽  
Three Dimensional ◽  
Random Initial Data ◽  
Recursion Relations ◽  
Indispensable Tool ◽  
First Time ◽  
Very High

ABSTRACT Perturbation theory is an indispensable tool for studying the cosmic large-scale structure, and establishing its limits is therefore of utmost importance. One crucial limitation of perturbation theory is shell-crossing, which is the instance when cold-dark-matter trajectories intersect for the first time. We investigate Lagrangian perturbation theory (LPT) at very high orders in the vicinity of the first shell-crossing for random initial data in a realistic three-dimensional Universe. For this, we have numerically implemented the all-order recursion relations for the matter trajectories, from which the convergence of the LPT series at shell-crossing is established. Convergence studies performed at large orders reveal the nature of the convergence-limiting singularities. These singularities are not the well-known density singularities at shell-crossing but occur at later times when LPT already ceased to provide physically meaningful results.

scholarly journals GENERALIZED 2-D BF MODEL QUANTIZED IN THE AXIAL GAUGE

2000 ◽  
Vol 15 (07) ◽  
pp. 483-497
Author(s):  
R. LEITGEB ◽  
J. RANT ◽  
M. SCHWEDA ◽  
H. ZERROUKI
Keyword(s):  
Perturbation Theory ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Renormalization Procedure ◽  
Matter Coupling ◽  
Axial Gauge ◽  
Gauge Fixing ◽  
Dimensional Space Time ◽  
Topological Matter

We discuss the uv finiteness of the two-dimensional BF model coupled to topological matter quantized in the axial gauge. This noncovariant gauge fixing avoids the ir problem in the two-dimensional space–time. The BF model together with the matter coupling is obtained by dimensional reduction of the ordinary three-dimensional BF model. This procedure furnishes the usual linear vector supersymmetry and an additional scalar supersymmetry. The whole symmetry content of the model allows one to apply the standard algebraic renormalization procedure which we use to prove that this model is uv finite and anomaly free to all orders of perturbation theory.

Principles of finite-dimensional perturbation theory

1997 ◽  
Vol 23 (1) ◽  
pp. 59-68 ◽  
Author(s):  
I. V. Krasovskiı̆ ◽  
V. I. Peresada
Keyword(s):  
Perturbation Theory ◽  
Finite Dimensional ◽  
Dimensional Perturbation Theory

scholarly journals Periodic orbits in the restricted problem of three bodies in a three-dimensional coordinate system when the smaller primary is a triaxial rigid body

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Awadhesh Kumar Poddar ◽  
Divyanshi Sharma
Keyword(s):  
Perturbation Theory ◽  
Rigid Body ◽  
Coordinate System ◽  
Periodic Orbits ◽  
Restricted Problem ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
General Perturbation ◽  
Triaxial Rigid Body ◽  
Three Dimensional Coordinate

AbstractIn this paper, we have studied the equations of motion for the problem, which are regularised in the neighbourhood of one of the finite masses and the existence of periodic orbits in a three-dimensional coordinate system when μ = 0. Finally, it establishes the canonical set (l, L, g, G, h, H) and forms the basic general perturbation theory for the problem.

scholarly journals Dimensional perturbation theory on the Connection Machine

1994 ◽  
Vol 8 (6) ◽  
pp. 712 ◽  
Author(s):  
Timothy C. Germann ◽  
Dudley R. Herschbach ◽  
Bruce M. Boghosian
Keyword(s):  
Perturbation Theory ◽  
Connection Machine ◽  
Dimensional Perturbation Theory
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