Effective Action in Quantum Gravity

Buchbinder, I. L.; Odintsov, Sergei D.; Shapiro, Ilya L.

doi:10.1201/9780203758922

Cited by 563 publications

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“…For reasons explained in ref. [4], we adopt the beta-functions of Salvio and Strumia [6], which differ for matter couplings from earlier results [16]. For the SO(N ) case with a single adjoint scalar field, the remaining beta-functions are 9…”

Section: Jhep05(2016)185mentioning

confidence: 99%

“…This sole negative term must cancel the sum of all the other terms. 16 It cannot be that each term becomes small, because, setting both z 2 and z 3 to zero, both β z 2 and β z 3 are large and positive.…”

Section: Jhep05(2016)185mentioning

confidence: 99%

“…(3.8). Therefore, to a very good approximation sufficiently near the UVFP, we may 16 We use these observations in section 9 to set lower and upper bounds on the z k…”

Section: Jhep05(2016)185mentioning

confidence: 99%

“…In gauge models, it is more convenient [16] to rescale by α ≡ g 2 instead, replacing the conventional running parameter dt = d ln µ by du = α(t)dt. This enables us to easily investigate the impact of gravitational corrections on the flat-space beta-functions.…”

Section: Jhep05(2016)185mentioning

confidence: 99%

“…However the SM, when made supersymmetric, or by inclusion of other suitably chosen light states, does suggest the possibility of a gauge unification scale M X of around 10 16 GeV, corresponding to new physics based on a gauge group containing as a subgroup SU(3)⊗SU(2)⊗U (1). Models based on this idea typically involve proton decay mediated by particles with unification scale masses; predicting rates close to if not violating experimental limits.…”

Section: Introductionmentioning

confidence: 99%

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Induced gravity II: grand unification

Einhorn

Jones

2016

J. High Energ. Phys.

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As an illustration of a renormalizable, asymptotically-free model of induced gravity, we consider an SO(10) gauge theory interacting with a real scalar multiplet in the adjoint representation. We show that dimensional transmutation can occur, spontaneously breaking SO(10) to SU(5)⊗U(1), while inducing the Planck mass and a positive cosmological constant, all proportional to the same scale v. All mass ratios are functions of the values of coupling constants at that scale. Below this scale (at which the Big Bang may occur), the model takes the usual form of Einstein-Hilbert gravity in de Sitter space plus calculable corrections. We show that there exist regions of parameter space in which the breaking results in a local minimum of the effective action giving a positive dilaton (mass) 2 from two-loop corrections associated with the conformal anomaly. Furthermore, unlike the singlet case we considered previously, some minima lie within the basin of attraction of the ultraviolet fixed point. Moreover, the asymptotic behavior of the coupling constants also lie within the range of convergence of the Euclidean path integral, so there is hope that there will be candidates for sensible vacua. Although open questions remain concerning unitarity of all such renormalizable models of gravity, it is not obvious that, in curved backgrounds such as those considered here, unitarity is violated. In any case, any violation that may remain will be suppressed by inverse powers of the reduced Planck mass.

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Section: Jhep05(2016)185mentioning

confidence: 99%

Section: Jhep05(2016)185mentioning

confidence: 99%

“…(3.8). Therefore, to a very good approximation sufficiently near the UVFP, we may 16 We use these observations in section 9 to set lower and upper bounds on the z k…”

Section: Jhep05(2016)185mentioning

confidence: 99%

Section: Jhep05(2016)185mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Induced gravity II: grand unification

Einhorn

Jones

2016

J. High Energ. Phys.

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Singularity Free Star Model Characterized by Quintessence Field in Quadratic f(Q)$f(Q)$ Gravity

Bhar

2023

Fortschritte der Physik

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In the context of the theory of gravity, a spherically symmetric quintessence DE model in this article is offered. For this reason, has the formula , where Q stands for the non‐metricity scalar and ‘a’ is the coupling constant for modified gravity has been taken into account. It is supposed that the quintessence field defined by the parameter , where , controls the energy‐momentum tensor of the underlying fluid distribution. The relationship between several physical parameters for the selected values of ‘a’, by choosing the metric potentials suggested by the Krori‐Barua [Krori and Barua; J. Phys. A, Math. Gen. 8: 508, 1975] is investigated. Further, a number of analyses in detail to examine the physical validity of the proposed stellar model are carried out. The consequences of the compact star system caused by the connection of matter and geometry are succinctly described. The maximum allowable mass and radius for our present model for different values of ‘a’ have been studied by and curve. One can recover the usual general relativity (GR) standard results for .

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Gravitational Theories Beyond General Relativity

Kuntz¹

2019

Springer Theses

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Effective Action in Quantum Gravity

Cited by 563 publications

References 0 publications

Induced gravity II: grand unification

Induced gravity II: grand unification

Singularity Free Star Model Characterized by Quintessence Field in Quadratic f(Q)$f(Q)$ Gravity

Gravitational Theories Beyond General Relativity

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