scholarly journals A Scale Invariance Due to the Compositeness Condition in the Induced Gauge Theory

2004 ◽  
Vol 112 (4) ◽  
pp. 757-762 ◽  
Author(s):  
A. Akabane ◽  
K. Akama
Keyword(s):  
Gauge Theory ◽  
Scale Invariance ◽  
Compositeness Condition

scholarly journals Scale invariance of Dirac condition gegm=1 in type 0 string approach to gauge theory

1999 ◽  
Vol 457 (1-3) ◽  
pp. 70-76
Author(s):  
Ian I. Kogan ◽  
Gloria Luzón
Keyword(s):  
Gauge Theory ◽  
Scale Invariance

scholarly journals GEOMETRICAL ORIGIN OF FERMION FAMILIES IN SU(2) × U(1) GAUGE THEORY

2002 ◽  
Vol 17 (19) ◽  
pp. 1227-1237 ◽  
Author(s):  
E. I. GUENDELMAN ◽  
A. B. KAGANOVICH
Keyword(s):  
Gauge Theory ◽  
Particle Physics ◽  
Scale Invariance ◽  
Degrees Of Freedom ◽  
Global Scale ◽  
Covariant Theory ◽  
Fermion Field ◽  
Mass Generation ◽  
Classical Level ◽  
Satisfactory Answer

A spontaneously broken SU (2) × U (1) gauge theory with just one "primordial" generation of fermions is formulated in the context of generally covariant theory which contains two measures of integration in the action: the standard [Formula: see text] and a new Φd4x, where Φ is a density built out of degrees of freedom independent of the metric. Such type of models are known to produce a satisfactory answer to the cosmological constant problem. Global scale invariance is implemented. After SSB of scale invariance and gauge symmetry it is found that with the conditions appropriate to laboratory particle physics experiments, to each primordial fermion field corresponds three physical fermionic states. Two of them correspond to particles with different constant masses and they are identified with the first two generations of the electroweak theory. The third fermionic states at the classical level get nonpolynomial interactions which indicate the existence of fermionic condensate and fermionic mass generation.

D-test: A New Test for Analyzing Scale Invariance Using Symbolic Dynamics and Symbolic Entropy

Methodology ◽  
2011 ◽  
Vol 7 (3) ◽  
pp. 88-95 ◽  
Author(s):  
Jose A. Martínez ◽  
Manuel Ruiz Marín
Keyword(s):  
Symbolic Dynamics ◽  
Scale Invariance ◽  
Rating Scales ◽  
Rating Scale ◽  
Marketing Research ◽  
Response Patterns ◽  
Measurement Scales ◽  
Improve Measurement ◽  
Entropy Measures ◽  
The Difference

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.

Fluid membranes in the “semi-rigid regime”: scale invariance

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