Renormalization Group, Effective Action and Grand Unification Theories in Curved Space-Time

1991 ◽  
Vol 39 (8) ◽  
pp. 621-641 ◽  
Author(s):  
Sergei D. Odintsov
Keyword(s):  
Renormalization Group ◽  
Effective Action ◽  
Space Time ◽  
Grand Unification ◽  
Curved Space

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.

Effective Action of Composite Fields in Curved Space—time

2017 ◽  
pp. 217-244
Author(s):  
I. L. Buchbinder ◽  
S. D. Odintsov ◽  
I. L. Shapiro
Keyword(s):  
Effective Action ◽  
Space Time ◽  
Curved Space

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.

One-loop effective action for the gauge field in curved space-time

1998 ◽  
Vol 117 (1) ◽  
pp. 1208-1213 ◽  
Author(s):  
V. Ch. Zhukovskii ◽  
I. V. Mamsurov
Keyword(s):  
Gauge Field ◽  
Effective Action ◽  
Space Time ◽  
Curved Space

The renormalization group in curved space

2021 ◽  
pp. 388-396
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Renormalization Group ◽  
Effective Potential ◽  
Effective Action ◽  
Finite Part ◽  
Minimal Subtraction ◽  
Essential Information ◽  
Curved Space ◽  
Scaling Anomaly

As the main purpose of renormalization is not to remove divergences but to get essential information about the finite part of effective action, this chapter discusses some of the existing methods of solving this problem; such methods can be denoted the renormalization group. First, the minimal subtraction renormalization group in curved space is formulated. Next, the chapter shows how the overall μ‎-independence of the effective action enables one to interpret μ‎-dependence in some situations. As an example, the effective potential is restored from the renormalization group and compared with the expression calculated directly in chapter 13. In addition, the global conformal (scaling) anomaly is derived from the renormalization group.

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