Mass-Dispersion Relations and Broken Scale Invariance

1972 ◽  
Vol 6 (4) ◽  
pp. 1026-1033 ◽  
Author(s):  
P. J. O'Donnell ◽  
T. P. Wong
1970 ◽  
Vol 25 (21) ◽  
pp. 1530-1534 ◽  
Author(s):  
Richard A. Brandt ◽  
Giuliano Preparata

2010 ◽  
Vol 19 (12) ◽  
pp. 1905-1914 ◽  
Author(s):  
YAO LU ◽  
YUN-SONG PIAO

In this paper, inspired by the investigations on the theory of cosmological perturbations in Hořava–Lifshitz cosmology, we calculate the spectrum of primordial perturbation lead by a modified dispersion relation in proper time ω pro ~ kz/ap in power-law expansion/contraction background a ~ tn · z is the critical exponent and p is not necessarily equal to z · p = z is well-motivated by Hořava–Lifshitz gravity, and the cases with p ≠ z are generalizations beyond the scope. We discuss that for fixed z, if the spectrum is required to be scale-invariant, how should p depend on n. We conclude that there is always room for parameters for the generation of scale-invariant spectrum.


2011 ◽  
Vol 736 (1) ◽  
pp. L9 ◽  
Author(s):  
Jesse van de Sande ◽  
Mariska Kriek ◽  
Marijn Franx ◽  
Pieter G. van Dokkum ◽  
Rachel Bezanson ◽  
...  

1971 ◽  
Vol 4 (7) ◽  
pp. 2079-2083 ◽  
Author(s):  
Wing-chiu Ng ◽  
Patrizio Vinciarelli

2013 ◽  
Author(s):  
Vladimir Pascalutsa ◽  
Marc Vanderhaeghen ◽  
Jonathan Hall ◽  
Tim Ledwig

1970 ◽  
Vol 2 (8) ◽  
pp. 1702-1708 ◽  
Author(s):  
G. Murtaza ◽  
M. S. K. Razmi

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Stefano Bianco ◽  
Victor Nicolai Friedhoff ◽  
Edward Wilson-Ewing

Methodology ◽  
2011 ◽  
Vol 7 (3) ◽  
pp. 88-95 ◽  
Author(s):  
Jose A. Martínez ◽  
Manuel Ruiz Marín

The aim of this study is to improve measurement in marketing research by constructing a new, simple, nonparametric, consistent, and powerful test to study scale invariance. The test is called D-test. D-test is constructed using symbolic dynamics and symbolic entropy as a measure of the difference between the response patterns which comes from two measurement scales. We also give a standard asymptotic distribution of our statistic. Given that the test is based on entropy measures, it avoids smoothed nonparametric estimation. We applied D-test to a real marketing research to study if scale invariance holds when measuring service quality in a sports service. We considered a free-scale as a reference scale and then we compared it with three widely used rating scales: Likert-type scale from 1 to 5 and from 1 to 7, and semantic-differential scale from −3 to +3. Scale invariance holds for the two latter scales. This test overcomes the shortcomings of other procedures for analyzing scale invariance; and it provides researchers a tool to decide the appropriate rating scale to study specific marketing problems, and how the results of prior studies can be questioned.


1991 ◽  
Vol 1 (9) ◽  
pp. 1121-1132 ◽  
Author(s):  
M. Skouri ◽  
J. Marignan ◽  
J. Appell ◽  
G. Porte

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