Renormalization group equations and effective action in curved space-time

1987 ◽  
Vol 72 (1) ◽  
pp. 720-727
Author(s):  
I. L. Bukhbinder ◽  
Yu. Yu. Vol'fengaut
Keyword(s):  
Renormalization Group ◽  
Effective Action ◽  
Space Time ◽  
Curved Space ◽  
Renormalization Group Equations

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.

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