Asymptotic Freedom and the Renormalization Group

2018 ◽  
pp. 19-32
Author(s):  
A.M. Polyakov
Keyword(s):  
Renormalization Group ◽  
Asymptotic Freedom

Renormalization Group and Color Confinement

1998 ◽  
Vol 12 (12n13) ◽  
pp. 1355-1364 ◽  
Author(s):  
K. Nishijima
Keyword(s):  
Renormalization Group ◽  
Gauge Symmetry ◽  
Quantum Chromodynamics ◽  
Asymptotic Freedom ◽  
Abelian Gauge ◽  
Color Confinement

It is shown that color confinement is an inevitable consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom of quantum chromodynamics.

scholarly journals RENORMALIZATION OF FUNCTIONAL SCHRÖDINGER EQUATION BY BACKGROUND FIELD METHOD

1998 ◽  
Vol 13 (21) ◽  
pp. 1709-1717 ◽  
Author(s):  
K. ZAREMBO
Keyword(s):  
Renormalization Group ◽  
Schrödinger Equation ◽  
Ground State ◽  
Schrodinger Equation ◽  
Background Field ◽  
Field Method ◽  
Asymptotic Freedom ◽  
Yang Mills ◽  
State Wave ◽  
Background Field Method

Renormalization group transformations for Schrödinger equation are performed in both φ4 and Yang–Mills theories. The dependence of the ground state wave functional on rapidly oscillating fields is found. For Yang–Mills theory, this dependence restricts a possible form of variational ansatz compatible with asymptotic freedom.

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