NEW SET OF FINITE AND ASYMPTOTICALLY FINITE GUTS

1993 ◽  
Vol 08 (10) ◽  
pp. 1787-1796 ◽  
Author(s):  
I.L. SHAPIRO ◽  
E.G. YAGUNOV
Keyword(s):  
Renormalization Group ◽  
Space Time ◽  
Scalar Couplings ◽  
Curved Space ◽  
Renormalization Group Equations ◽  
The Stability

New set of one-loop finite GUT models is constructed. In particular there are some SU (N), N=5, 7, 9…models with two Higgs multiplets. The stability of finite solutions in UV and IR limits is investigated. The asymptotical behavior of the effective Yukawa and scalar couplings verify the asymptotical finiteness of the models. The renormalization group equations in curved space-time are also considered.

THE ASYMPTOTICALLY FREE AND ASYMPTOTICALLY CONFORMALLY INVARIANT GRAND UNIFICATION THEORIES IN CURVED SPACE-TIME

1990 ◽  
Vol 05 (20) ◽  
pp. 1599-1604 ◽  
Author(s):  
I.L. BUCHBINDER ◽  
I.L. SHAPIRO ◽  
E.G. YAGUNOV
Keyword(s):  
Renormalization Group ◽  
Gravitational Field ◽  
Gauge Group ◽  
Flat Space ◽  
Space Time ◽  
Grand Unification ◽  
Curved Space ◽  
Conformally Invariant ◽  
Renormalization Group Equations ◽  
The One

GUT’s in curved space-time is considered. The set of asymptotically free and asymptotically conformally invariant models based on the SU (N) gauge group is constructed. The general solutions of renormalization group equations are considered as the special ones. Several SU (2N) models, which are finite in flat space-time (on the one-loop level) and asymptotically conformally invariant in external gravitational field are also presented.

scholarly journals NUMERICAL INVESTIGATION OF ANISOTROPICALLY DRIVEN DEVELOPED TURBULENCE

2007 ◽  
Vol 12 (3) ◽  
pp. 325-342 ◽  
Author(s):  
Edik Hayryan ◽  
Eva Jurcisinova ◽  
Marian Jurcisin ◽  
Milan Stenlik
Keyword(s):  
Renormalization Group ◽  
Parallel Programming ◽  
Numerical Investigation ◽  
Group Approach ◽  
Strongly Nonlinear ◽  
Developed Turbulence ◽  
Renormalization Group Equations ◽  
Renormalization Group Approach ◽  
Anisotropy Parameters ◽  
The Stability

The fully developed turbulence with axial anisotropy for dimensions d > 2 is investigated by means of renormalization group approach. The corresponding system of strongly nonlinear renormalization group equations which contain angle integrals is solved numerically. Possible utilization of the parallel programming methods is discussed. As a result, the influence of anisotropy on the stability of the Kolmogorov scaling regime is analyzed. The borderline dimension between stable scaling regime and unstable one is calculated as a function of the anisotropy parameters. Obtained results are compared with results calculated in [7].

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