scholarly journals Effective gluon mass and infrared fixed point in QCD

2007 ◽  
Author(s):  
Arlene C. Aguilar ◽  
Joannis Papavassiliou ◽  
Pietro Colangelo ◽  
Donato Creanza ◽  
Fulvia De Fazio ◽  
...  
Keyword(s):  
Fixed Point ◽  
Gluon Mass

scholarly journals Relating a Gluon Mass Scale to an Infrared Fixed Point in Pure Gauge QCD

2003 ◽  
Vol 90 (15) ◽  
Author(s):  
A. C. Aguilar ◽  
A. A. Natale ◽  
P. S. Rodrigues da Silva
Keyword(s):  
Fixed Point ◽  
Mass Scale ◽  
Gluon Mass ◽  
Pure Gauge

scholarly journals QCD fixed points: Banks–Zaks scenario or dynamical gluon mass generation?

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750012
Author(s):  
J. D. Gomez ◽  
A. A. Natale
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Effective Charge ◽  
Vacuum Energy ◽  
Critical Value ◽  
Generation Mechanism ◽  
Coupling Constant ◽  
Mass Generation ◽  
Gluon Mass ◽  
Quark Flavors

Fixed points in QCD can appear when the number of quark flavors [Formula: see text] is increased above a certain critical value as proposed by Banks and Zaks (BZ). There is also the possibility that QCD possess an effective charge indicating an infrared frozen coupling constant. In particular, an infrared frozen coupling associated to dynamical gluon mass (DGM) generation does lead to a fixed point even for a small number of quarks. We compare the BZ and DGM mechanisms, their [Formula: see text] functions and fixed points, and within the approximations of this work, which rely basically on extrapolations of the dynamical gluon masses at large [Formula: see text], we verify that between [Formula: see text] and [Formula: see text] both cases exhibit fixed points at similar coupling constant values [Formula: see text]. We argue that the states of minimum vacuum energy, as a function of the coupling constant up to [Formula: see text] and for several [Formula: see text] values, are related to the dynamical gluon mass generation mechanism.

Mental equilibrium: Identifying fixed-point attractors in the stream of thought

2003 ◽  
Author(s):  
Robin R. Vallacher ◽  
Andrzej Nowak ◽  
Matthew Rockloff
Keyword(s):  
Fixed Point

Bifurcation in a Simple Model of the Cardiovascular System

2000 ◽  
Vol 39 (02) ◽  
pp. 118-121 ◽  
Author(s):  
S. Akselrod ◽  
S. Eyal
Keyword(s):  
Nonlinear Dynamics ◽  
Blood Pressure ◽  
Heart Rate ◽  
Fixed Point ◽  
Cardiovascular System ◽  
Modified Model ◽  
Mayer Waves ◽  
Sustained Oscillations ◽  
Human Cardiovascular System ◽  
Physiological Values

Abstract:A simple nonlinear beat-to-beat model of the human cardiovascular system has been studied. The model, introduced by DeBoer et al. was a simplified linearized version. We present a modified model which allows to investigate the nonlinear dynamics of the cardiovascular system. We found that an increase in the -sympathetic gain, via a Hopf bifurcation, leads to sustained oscillations both in heart rate and blood pressure variables at about 0.1 Hz (Mayer waves). Similar oscillations were observed when increasing the -sympathetic gain or decreasing the vagal gain. Further changes of the gains, even beyond reasonable physiological values, did not reveal another bifurcation. The dynamics observed were thus either fixed point or limit cycle. Introducing respiration into the model showed entrainment between the respiration frequency and the Mayer waves.

Solution of Volterra integral inclusion in b-metric spaces via new fixed point theorem

2016 ◽  
Vol 2017 (1) ◽  
pp. 17-30 ◽  
Author(s):  
Muhammad Usman Ali ◽  
◽  
Tayyab Kamran ◽  
Mihai Postolache ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Integral Inclusion
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