Cluster-Decomposition Properties ofϕ3-Perturbation-Theory Amplitudes at High Energy. II

1971 ◽  
Vol 4 (12) ◽  
pp. 3658-3683 ◽  
Author(s):  
David K. Campbell ◽  
Shau-Jin Chang
Keyword(s):  
Perturbation Theory ◽  
High Energy ◽  
Decomposition Properties

Perturbation theory at high energy

1967 ◽  
Vol 52 (1) ◽  
pp. 210-223
Author(s):  
L. M. Brown ◽  
Ik-Ju Kang
Keyword(s):  
Perturbation Theory ◽  
High Energy

scholarly journals Nano-HNS Particles: Mechanochemical Preparation and Properties Investigation

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Chongwei An ◽  
Shuai Xu ◽  
Yuruo Zhang ◽  
Baoyun Ye ◽  
Xiaoheng Geng ◽  
...  
Keyword(s):  
Short Duration ◽  
Three Dimensional ◽  
Specific Area ◽  
High Energy ◽  
Milling Process ◽  
Green Technology ◽  
Impact Sensitivity ◽  
Safety Properties ◽  
Shock Initiation ◽  
Decomposition Properties

Nano-2,2′,4,4′,6,6′-hexanitrostilbene (HNS) particles were successfully prepared by a mechanochemical (i.e., high energy milling) process without an organic solvent, which can be viewed as a green technology. The particle size, morphology, specific area, crystal phase, thermal decomposition properties, impact sensitivity, and short duration shock initiation sensitivity were characterized and tested. The diameter of milling HNS is about 89.2 nm with a narrow size distribution and without agglomeration of particles. The formation mechanism of nano-HNS can be viewed as the transformation from thin HNS sheets with a one-dimensional nanostructure to three-dimensional nanoparticles. The nano-HNS particles present a much higher Ea and lower impact sensitivity than purified HNS, revealing the outstanding safety properties. From the results of the short duration shock initiation sensitivity, 50% and 100% initiation voltages are decreased compared with those of HNS-IV, indicating the higher initiation sensitivity.

EVOLUTION OF CONFORMAL COLOR DIPOLES AND HIGH-ENERGY AMPLITUDES IN $\mathcal{N} = 4$ SYM

2011 ◽  
Vol 04 ◽  
pp. 9-19
Author(s):  
IAN BALITSKY
Keyword(s):  
Perturbation Theory ◽  
Wilson Line ◽  
Energy Operator ◽  
High Energy ◽  
Conformal Structure ◽  
Coefficient Function ◽  
Large N ◽  
Energy Behavior ◽  
Regge Limit ◽  
Point Amplitude

The high-energy behavior of the [Formula: see text] SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large Nc, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in the first two orders in coupling constant: BFKL intercept and NLO BFKL intercept calculated in Ref. [1]. As an example of using the Wilson-line OPE, we calculate the coefficient function in front of the pomeron for the correlator of four Z2 currents in the first two orders in perturbation theory.

Perturbation theory for dynamical diffraction calculations

1989 ◽  
Vol 47 ◽  
pp. 482-483
Author(s):  
D.J. Eaglesham
Keyword(s):  
Perturbation Theory ◽  
Systematic Errors ◽  
High Energy ◽  
Bloch Wave ◽  
Dynamical Diffraction ◽  
Crystal Potential ◽  
High Energy Electrons ◽  
Electron Wavefunction ◽  
Fair Degree

The dynamical diffraction of high-energy electrons may be calculated to a fair degree of accuracy by several methods. The most widespread techniques involve either multislice calculations or Bloch wave diagonalisation, the two giving equivalent results for diffracted beam intensities for a given set of conditions. However, both types of calculation are approximate, in that they involve a truncated expansion (of not only the electron wavefunction but also the crystal potential) in the number of diffracting beams. Bloch wave diagonalisations, for example, involve computation times which increase as the cube of the number of beams included in the calculation, so that truncation of the calculation with the smallest possible number of beams is essential. Unfortunately, dynamical diffraction calculations (using either multislice or diagonalisation) tend to converge extremely slowly with increasing number of beams, so that Bloch wave calculations in particular can be highly time-consuming. In addition, it is generally difficult to estimate the magnitude of the systematic errors that truncation has produced. However, the scattering to the outermost beams is generally weak, suggesting that these higher coefficients of the potential may be treated within perturbation theory. The pupose of this paper is to present the equations for a perturbation treatment of truncation.

High-Energy Inelastic Scattering of Electrons in Perturbation Theory

1969 ◽  
Vol 185 (5) ◽  
pp. 1748-1753 ◽  
Author(s):  
R. Jackiw ◽  
G. Preparata
Keyword(s):  
Perturbation Theory ◽  
Inelastic Scattering ◽  
High Energy
Sign in / Sign up

Export Citation Format

Share Document