scholarly journals Covariant variational approach to Yang-Mills theory: Thermodynamics

2017 ◽  
Vol 96 (5) ◽  
Author(s):  
M. Quandt ◽  
H. Reinhardt
Keyword(s):  
Variational Approach ◽  
Yang Mills

scholarly journals Variational approach to Yang-Mills theory at finite temperatures

2011 ◽  
Vol 84 (4) ◽  
Author(s):  
H. Reinhardt ◽  
D. R. Campagnari ◽  
A. P. Szczepaniak
Keyword(s):  
Variational Approach ◽  
Yang Mills

scholarly journals Covariant variational approach to Yang-Mills theory

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
M. Quandt ◽  
H. Reinhardt ◽  
J. Heffner
Keyword(s):  
Variational Approach ◽  
Yang Mills

scholarly journals A VARIATIONAL APPROACH TO THE QCD WAVEFUNCTIONAL: CALCULATION OF THE QCD β-FUNCTION

1999 ◽  
Vol 14 (05) ◽  
pp. 799-814 ◽  
Author(s):  
WILLIAM E. BROWN ◽  
IAN I. KOGAN
Keyword(s):  
Variational Approach ◽  
Feynman Diagrams ◽  
Yang Mills ◽  
Numerical Coefficient ◽  
Β Function

The β-function is calculated for an SU (N) Yang–Mills theory from an ansatz for the vacuum wavefunctional. Direct comparison is made with the results of calculations of the β-function of QCD. In both cases the theories are asymptotically free, the only difference being in the numerical coefficient of the β-function, which is found to be -4 from the ansatz and [Formula: see text] from other QCD calculations. This is because, due to the constraint of Gauss' law applied to the wavefunctional, some interactions between gluons (which contribute the [Formula: see text]) are omitted. The renormalisation procedure is understood in terms of "tadpole" and "horseshoe" Feynman diagrams which must be interpreted with a nonlocal propagator.

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