A GENERALIZATION OF GAUGE COUPLING CONSTANTS TO GAUGE COUPLING FIELDS

1990 ◽  
Vol 05 (21) ◽  
pp. 1633-1637 ◽  
Author(s):  
LORA NIKOLOVA ◽  
V.A. RIZOV
Keyword(s):  
Gauge Group ◽  
Gauge Coupling ◽  
Natural Generalization ◽  
Coupling Constants ◽  
Inner Product ◽  
Coupling Constant ◽  
Derivation Operator ◽  
Covariant Derivation ◽  
Gauge Coupling Constant

A natural generalization of the notion of the gauge coupling constant appearing in the covariant derivation operator is obtained by replacing it with a field Γ which takes values in the linear hermitian invertible mappings [Formula: see text] ([Formula: see text] is the Lie algebra of the gauge group G equipped with a G-invariant inner product). In this case the eigenvalues of Γ(x) for each point x from the space-time take the role of the usual single gauge coupling constant.

scholarly journals COMPLETE CLASSES OF GUTS WITH VANISHING ONE-LOOP BETA FUNCTIONS

1994 ◽  
Vol 09 (29) ◽  
pp. 5053-5075
Author(s):  
WOLFGANG LUCHA ◽  
FRANZ F. SCHÖBERL
Keyword(s):  
Gauge Coupling ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Finiteness Conditions ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Dimensionless Coupling ◽  
The One ◽  
The Masses ◽  
Gauge Coupling Constant

By explicit solution of the one-loop finiteness conditions for all dimensionless coupling constants (i.e. the gauge coupling constant as well as Yukawa and quartic scalar-boson self-interaction coupling constants), two classes of grand unified theories characterized by renormalization-group beta functions which all vanish at least at the one-loop level are constructed and analyzed with respect to the (suspected) appearance of quadratic divergences, with the result that without exception in all of these models the masses of both vector and scalar bosons receive quadratically divergent one-loop contributions.

scholarly journals Parameterizing the SFC Baryogenesis Model

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Daniela Kirilova ◽  
Mariana Panayotova
Keyword(s):  
Scalar Field ◽  
Gauge Coupling ◽  
Hubble Constant ◽  
The Self ◽  
Coupling Constants ◽  
Coupling Constant ◽  
Baryon Charge ◽  
Natural Range ◽  
Range Of Values ◽  
Gauge Coupling Constant

We have numerically explored the scalar field condensate baryogenesis model for numerous sets of model’s parameters, within their natural range of values. We have investigated the evolution of the baryon charge carrying field, the evolution of the baryon charge contained in the scalar field condensate, and the final value of the generated baryon charge on the model’s parameters: the gauge coupling constantα, the Hubble constant at the inflationary stageHI, the massm, and the self-coupling constantsλi.

scholarly journals Gauge coupling constant unification with Planck scale values of moduli

1996 ◽  
Vol 378 (1-4) ◽  
pp. 113-119 ◽  
Author(s):  
D. Bailin ◽  
A. Love ◽  
W.A. Sabra ◽  
S. Thomas
Keyword(s):  
Planck Scale ◽  
Gauge Coupling ◽  
Coupling Constant ◽  
Gauge Coupling Constant

EFFECTS OF TEMPERATURE-DEPENDENT COUPLING CONSTANT EVOLUTION ON THE UNIFICATION SCALE

1987 ◽  
Vol 02 (07) ◽  
pp. 479-485 ◽  
Author(s):  
K. ENQVIST ◽  
K. KAJANTIE
Keyword(s):  
Gauge Coupling ◽  
Coupling Constants ◽  
Thermal Bath ◽  
Coupling Constant ◽  
Temperature Dependent ◽  
Cosmological Context ◽  
Effects Of Temperature

We discuss how the evolution of gauge coupling constants is affected by a thermal bath, the existence of which is natural to assume in a cosmological context. The temperature dependent renormalization prescription induced by the thermal bath can cause sizeable effects, and the unification scale is shifted from the value computed from the coupling constant evolution in vacuum.

scholarly journals Universality of gauge coupling constant in the Einstein-QED system

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
L. Ibiapina Bevilaqua ◽  
A. C. Lehum ◽  
Huan Souza
Keyword(s):  
Gauge Coupling ◽  
Coupling Constant ◽  
Gauge Coupling Constant

scholarly journals A nonperturbative method for the Yang–Mills Lagrangian

2015 ◽  
Vol 30 (13) ◽  
pp. 1550070 ◽  
Author(s):  
Renata Jora
Keyword(s):  
Partition Function ◽  
Gauge Field ◽  
Beta Function ◽  
Gauge Coupling ◽  
Field Method ◽  
Coupling Constant ◽  
Yang Mills ◽  
Nonperturbative Method ◽  
Renormalization Constants ◽  
Gauge Coupling Constant

Using the properties of the partition function for a Yang–Mills theory we compute simple relations among the renormalization constants. In the particular case of the background gauge field method we obtain that the all orders beta function for the gauge coupling constant contains only the first two orders coefficients different than zero and thus corresponds to the 't Hooft scheme.

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