scholarly journals Role of Regularization in Quantum Corrections to the Scalar–Tensor Theories of Gravity

1997 ◽  
Vol 12 (06) ◽  
pp. 371-380 ◽  
Author(s):  
Yasunori Fujii
Keyword(s):  
Scalar Field ◽  
Invariant Theory ◽  
Quantum Corrections ◽  
Scale Invariant ◽  
Classical Level ◽  
Fifth Force ◽  
Robust Property ◽  
Theories Of Gravity ◽  
Matter Fields

We show that regularizing divergent integrals is important when applied to the loop diagrams corresponding to quantum corrections to the coupling of the "gravitational" scalar field due to the interaction among matter fields. We use the method of continuous spacetime dimensions to demonstrate that WEP is a robust property of the Brans–Dicke theory beyond the classical level, hence correcting our previous assertion of the contrary. The same technique can be used to yield the violation of WEP when applied to the scale-invariant theory, thus providing another reason for expecting fifth-force-type phenomena.

scholarly journals FREE QUANTUM ANALOGUES OF THE FIRST FUNDAMENTAL THEOREMS OF INVARIANT THEORY

2004 ◽  
Vol 47 (2) ◽  
pp. 297-303
Author(s):  
Julien Bichon
Keyword(s):  
Linear Group ◽  
Invariant Theory ◽  
Hopf Algebras ◽  
General Linear Group ◽  
Polynomial Function ◽  
Free Algebras ◽  
Function Algebras ◽  
Primary 16W30 ◽  
Fundamental Theorems

AbstractWe formulate and prove a free quantum analogue of the first fundamental theorems of invariant theory. More precisely, the polynomial function algebras on matrices are replaced by free algebras, while the universal cosovereign Hopf algebras play the role of the general linear group.AMS 2000 Mathematics subject classification: Primary 16W30

On the Anisotropy of Axisymmetric Strained Turbulence in the Dissipation Range

2003 ◽  
Vol 125 (3) ◽  
pp. 401-413 ◽  
Author(s):  
J. Jovanovic´ ◽  
I. Otic´ ◽  
P. Bradshaw
Keyword(s):  
Invariant Theory ◽  
Dissipation Rate ◽  
Large Reynolds Number ◽  
Reynolds Stresses ◽  
Local Isotropy ◽  
Turbulent Dissipation ◽  
The Relationship ◽  
Simple Flow ◽  
Small Anisotropy

Partition of the stress dissipation has been studied in an axisymmetric strained flow field to assess the possible existence of local isotropy for turbulence at small scales. This is a simple flow to study because the axes of anisotropy of the Reynolds stresses and of the dissipation tensor are aligned. Using invariant theory, the relationship between the stress and dissipation tensors was derived, satisfying restrictions for the limiting states of turbulence and the assumed behavior for large Reynolds number and small anisotropy. The role of the anisotropy in constraining models for the turbulent dissipation rate and the pressure-strain correlations is discussed. Comparisons of the resulting closure with experimental data for several axisymmetric flows are good within the limitations of the data.

scholarly journals The Heisenberg product seen as a branching problem for connected reductive groups, stability properties

2020 ◽  
Vol 23 (2) ◽  
pp. 337-355
Author(s):  
Maxime Pelletier
Keyword(s):  
Invariant Theory ◽  
Symmetric Groups ◽  
Previous Article ◽  
Irreducible Representations ◽  
Reductive Groups ◽  
Geometric Invariant ◽  
Stability Properties ◽  
Geometric Methods ◽  
Branching Problem ◽  
Stability Results

AbstractIn this article, we study, in the context of complex representations of symmetric groups, some aspects of the Heisenberg product, introduced by Marcelo Aguiar, Walter Ferrer Santos and Walter Moreira in 2017. When applied to irreducible representations, this product gives rise to the Aguiar coefficients. We prove that these coefficients are in fact also branching coefficients for representations of connected complex reductive groups. This allows to use geometric methods already developed in a previous article, notably based on notions from geometric invariant theory, and to obtain some stability results on Aguiar coefficients, generalising some of the results concerning them given by Li Ying.

Role of dactinomycin in the improved survival of children with Wilms' tumor

JAMA ◽  
1966 ◽  
Vol 195 (12) ◽  
pp. 1005-1009 ◽  
Author(s):  
D. J. Fernbach
Keyword(s):  
Wilms Tumor

Role of the allergist in diagnosis and management of patients with uveitis

JAMA ◽  
1966 ◽  
Vol 195 (3) ◽  
pp. 167-172 ◽  
Author(s):  
T. E. Van Metre
Keyword(s):  
Diagnosis And Management

The power of norms to sway fused group members

2018 ◽  
Vol 41 ◽  
Author(s):  
Winnifred R. Louis ◽  
Craig McGarty ◽  
Emma F. Thomas ◽  
Catherine E. Amiot ◽  
Fathali M. Moghaddam
Keyword(s):  
Evolutionary Anthropology ◽  
Normative Systems ◽  
Violent Extremism ◽  
Identity Fusion ◽  
Group Members

AbstractWhitehouse adapts insights from evolutionary anthropology to interpret extreme self-sacrifice through the concept of identity fusion. The model neglects the role of normative systems in shaping behaviors, especially in relation to violent extremism. In peaceful groups, increasing fusion will actually decrease extremism. Groups collectively appraise threats and opportunities, actively debate action options, and rarely choose violence toward self or others.

Elaborating the role of reflection and individual differences in the study of folk-economic beliefs

2018 ◽  
Vol 41 ◽  
Author(s):  
Kevin Arceneaux
Keyword(s):  
Decision Making ◽  
Individual Differences ◽  
Cognitive Processes ◽  
Evolutionary History ◽  
Behavioral Responses ◽  
History Of ◽  
Economic Beliefs

AbstractIntuitions guide decision-making, and looking to the evolutionary history of humans illuminates why some behavioral responses are more intuitive than others. Yet a place remains for cognitive processes to second-guess intuitive responses – that is, to be reflective – and individual differences abound in automatic, intuitive processing as well.

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