scholarly journals Improvement of the method of diagonal Padé approximants for perturbative series in gauge theories

1998 ◽  
Vol 57 (6) ◽  
pp. R3209-R3213 ◽  
Author(s):  
G. Cvetič
Keyword(s):  
Gauge Theories ◽  
Padé Approximants ◽  
Perturbative Series ◽  
Pade Approximants

scholarly journals Probing the Infrared Structure of Gauge Theories: A Padé-Approximant Approach

2001 ◽  
Vol 16 (supp01c) ◽  
pp. 913-915 ◽  
Author(s):  
F. A. Chishtie ◽  
V. Elias ◽  
V. A. Miransky ◽  
T. G. Steele
Keyword(s):  
Fixed Point ◽  
Gauge Theory ◽  
Gauge Theories ◽  
Padé Approximants ◽  
Padé Approximant ◽  
Pade Approximants ◽  
Pade Approximant ◽  
Specific Choice ◽  
Large N ◽  
Β Function

Padé-approximant treatments of the known terms of the QCD β-function are seen to develop possible infrared fixed point structure only if the number of fermion flavours is sufficiently large. This flavour threshold is seen to be between six and nine flavours, depending upon both the specific choice of approximant as well as on the presently-unknown five-loop β-function contribution. Below this flavour threshold, Padé approximants based upon the QCD β-function manifest the same infrared attractor structure as that which characterizes the exact NSVZ β-function of supersymmetric gluodynamics. Such infrared attractor structure is also seen to characterize Padé-approximant treatments of vector SU(N) gauge theory in the large N limit, suggesting common infrared dynamics for the strong and weak phases of this theory.

scholarly journals Padé approximants for the ground-state energy of closed-shell quantum dots

1997 ◽  
Vol 56 (24) ◽  
pp. 15740-15743 ◽  
Author(s):  
Augusto Gonzalez ◽  
Bart Partoens ◽  
François M. Peeters
Keyword(s):  
Quantum Dots ◽  
Ground State Energy ◽  
Ground State ◽  
State Energy ◽  
Closed Shell ◽  
Padé Approximants ◽  
Pade Approximants
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