Sum-Rule Dynamics

1980 ◽  
Vol 45 (25) ◽  
pp. 1987-1989 ◽  
Author(s):  
T. A. Osborn ◽  
R. G. Froese ◽  
S. F. Howes
Keyword(s):  
Sum Rule ◽  
Rule Dynamics

scholarly journals Cwebs beyond three loops in multiparton amplitudes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Neelima Agarwal ◽  
Lorenzo Magnea ◽  
Sourav Pal ◽  
Anurag Tripathi
Keyword(s):  
Gauge Theories ◽  
Anomalous Dimension ◽  
Wilson Line ◽  
Building Blocks ◽  
Feynman Diagrams ◽  
Loop Order ◽  
Abelian Gauge ◽  
Sum Rule ◽  
Combinatorial Properties ◽  
Low Dimensional

Abstract Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

Raman sum rule and the relation to the infrared sum rule in La2-xSrxCuO4

2010 ◽  
Vol 470 ◽  
pp. S97-S98 ◽  
Author(s):  
S. Sugai ◽  
Y. Takayanagi ◽  
N. Hayamizu ◽  
T. Muroi ◽  
J. Nohara ◽  
...  
Keyword(s):  
Sum Rule

A new isotopic sum rule

1978 ◽  
Vol 73 (3) ◽  
pp. 503-504 ◽  
Author(s):  
P. Babu Rao ◽  
K.V. Siva Sarma ◽  
K. SreeRamamurty
Keyword(s):  
Sum Rule

scholarly journals Quantitative sum rule analysis of low-temperature spectral functions

2013 ◽  
Vol 87 (7) ◽  
Author(s):  
Nathan P. M. Holt ◽  
Paul M. Hohler ◽  
Ralf Rapp
Keyword(s):  
Low Temperature ◽  
Spectral Functions ◽  
Sum Rule ◽  
Rule Analysis

g-Sum Rule and the Levels of Eu ii

1964 ◽  
Vol 54 (2) ◽  
pp. 267
Author(s):  
B. G. Wybourne
Keyword(s):  
Sum Rule

Oscillator-Strength Sum Rule in the Cuprates

2004 ◽  
Vol 17 (5) ◽  
pp. 551-558 ◽  
Author(s):  
W. A. Little ◽  
M. J. Holcomb
Keyword(s):  
Oscillator Strength ◽  
Sum Rule

The Coriolis ξ sum rule for allene

1962 ◽  
Vol 9 ◽  
pp. 244-253 ◽  
Author(s):  
I.M. Mills ◽  
J.L. Duncan
Keyword(s):  
Sum Rule
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