The renormalized coupling constant in an open static einstein universe

1983 ◽  
Vol 36 (18) ◽  
pp. 614-618
Author(s):  
Jia-Zhu Wang



2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
L. Borsten ◽  
I. Jubb ◽  
V. Makwana ◽  
S. Nagy

Abstract A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyutin (BRST) gauge transformations of two Yang-Mills gauge fields generate the linear BRST diffeomorphism transformations of the graviton. This facilitates the definition of the ‘gauge × gauge’ convolution product on, for example, the static Einstein universe, and more generally for ultrastatic spacetimes with compact spatial slices.



2008 ◽  
Vol 58 (1) ◽  
pp. 57-68 ◽  
Author(s):  
D. Ebert ◽  
K. G. Klimenko ◽  
A. V. Tyukov ◽  
V. C. Zhukovsky


2007 ◽  
Vol 24 (2) ◽  
pp. 355-358 ◽  
Author(s):  
S Aygün ◽  
I Tarhan ◽  
H Baysal


1.The discovery of the general receding motion of the spiral nebulae by Hubble lent importance to the Friedmann-Lemaître solution of Einstein’s field equations and it was promptly suggested that our present universe started from a static condition, and owing to certain unknown causes began expanding and has since been doing so continuously. Eddington* pointed out that the static Einstein universe was unstable and so “exploded” (as Eddington put it) in some past age. Eddington suggested that the reason for explosion was the condensation of matter into stellar bodies out of the nebular mass uniformly filling up the Einstein universe. McCrea† and McVittie, working on this idea, proposed a proof showing that for a single condensation the universe would start contracting, but for more condensations start expanding from the equilibrium state. This proof they have recently withdrawn as being erroneous. Meanwhile, Lemaître§ himself enunciated a theorem stating that condensation itself could not cause expansion or contraction, but it was the stagnation of energy (ultimately amounting to condensation) which disturbed the equilibrium and caused the universe to swell up, but McCrea and McVittie showed that his proof was incorrect. Eddington’s problem thus remains where it was when first proposed. In this note we give a proof which shows that condensations, no matter whatever be their number, would start expansion of the Einstein universe.







2010 ◽  
Vol 25 (24) ◽  
pp. 2051-2063
Author(s):  
MARINA-AURA DARIESCU ◽  
CIPRIAN DARIESCU

This paper deals with the confinement mechanism of chiral fermions evolving in a five-dimensional spacetime, with S3 × R four-dimensional slices. To construct the proper Yukawa-type Lagrangian, we must solve the Gordon and Dirac-type equations in the bulk. An intriguing fact that emerges from our analysis is that only the left-handed fermions can be trapped on the brane. Characterizing the wave functions by the quantum number mℓ, it turns out that for mℓ = 3/2 and mℓ ∈ {0, ±1}, once the coupling constant increases, the left-handed modes become more and more dominant in the brane, away from the {z = 0}-singularity.





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