Modification of Hamada-Johnston Potential

Hamada, Tetsuo; Nakamura, Yosiaki; Tamagaki, Ryōzō

doi:10.1143/ptp.33.769

Cited by 96 publications

(194 citation statements)

References 0 publications

Supporting

Mentioning

185

Contrasting

Order By: Relevance

“…The existence of this scale has been indicated from the sharp falloff of the large angular component of the cosmic microwave background spectrum [44,45,46]. 10 evaluated as ∂ 2 ∂x 2…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…5 No coupling constant thus implies that there is no field-renormalization factor. This is one of the most significant proper- 4 This nonrenormalization theorem has been demonstrated explicitly in loop calculations of higher order [10,11,12].…”

Section: Renormalization Procedures and Asymptotic Background Freedommentioning

confidence: 94%

“…We first consider the function given by differentiating f (x, y)/x twice with respect to x. It can be easily 10 In this theory, inflation will ignite at the physical Planck mass scale, not the physical cosmological constant scale, and terminate at the dynamical scale Λ QG taking at the order of 10 17 GeV lower than the Planck mass scale. x f (x, y) =…”

Section: A Evaluation Of Infinite Seriesmentioning

confidence: 99%

See 2 more Smart Citations

Physical cosmological constant in asymptotically background-free quantum gravity

Hamada

Matsuda

2017

Phys. Rev. D

View full text Add to dashboard Cite

We study the effective potential in renormalizable quantum gravity with a single dimensionless conformal coupling without a Landau pole. In order to describe a background-free dynamics at the Planck scale and beyond, the conformal-factor field is quantized exactly in a nonperturbative manner. Since this field does not receive renormalization, the field-independent constant in the effective potential becomes itself invariant under the renormalization group flow. That is to say, it gives the physical cosmological constant. We explicitly calculate the physical cosmological constant at the one-loop level in the Landau gauge. We find that it is given by a function of renormalized quantities of the cosmological constant, the Planck mass and the coupling constant, and it should be the observed value. It will give a new perspective on the cosmological constant problem free from an ultraviolet cutoff.

show abstract

“…The existence of this scale has been indicated from the sharp falloff of the large angular component of the cosmic microwave background spectrum [44,45,46]. 10 evaluated as ∂ 2 ∂x 2…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Renormalization Procedures and Asymptotic Background Freedommentioning

confidence: 94%

Section: A Evaluation Of Infinite Seriesmentioning

confidence: 99%

See 1 more Smart Citation

Physical cosmological constant in asymptotically background-free quantum gravity

Hamada

Matsuda

2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…In the mathematical literature one can find a general theory for constructing conformal operators [5,6,7,8], which can be used to obtain explicit examples. For instance, the analog of Paneitz operator with six derivatives, ∆ 6 , in D = 6 can be found in [9], consequent paper [10] and in [11], where the generalization to D = 6 was also obtained.…”

Section: Introductionmentioning

confidence: 94%

On the conformal properties of topological terms in even dimensions

Ferreira¹,

Shapiro²,

Teixeira³

2016

Eur. Phys. J. Plus

View full text Add to dashboard Cite

Abstract. Conformal properties of the topological gravitational terms in D = 2, D = 4 and D = 6 are discussed. It is shown that in the last two cases the integrands of these terms, when being settled into the dimension D −1 and multiplied by a scalar, become conformal invariant. Furthermore we present a simple covariant derivation of Paneitz operator in D = 4 and formulate two general conjectures concerning the conformal properties of topological structures in even dimensions.MSC: 53B50, 83D05, 81T20

show abstract

“…Especially, in Ref. [2], it is shown that the relation between SQG and the 4D conformal gravity [3], calculating with the grand-canonical method.…”

Section: Introduction and Modelmentioning

confidence: 99%

Fractal structure of 4D euclidean simplicial manifold

Egawa

Horata

Yukawa

2004

Nuclear Physics B - Proceedings Supplements

View full text Add to dashboard Cite

The fractal properties of four-dimensional Euclidean simplicial manifold generated by the dynamical triangulation are analyzed on the geodesic distance D between two vertices instead of the usual scale between two simplices. In order to make more unambiguous measurement of the fractal dimension, we employ a different approach from usual, by measuring the box-counting dimension which is computed by counting the number of spheres with the radius D within the manifold. The numerical result is consistent to the result of the random walk model in the branched polymer region. We also measure the box-counting dimension of the manifold with additional matter fields. Numerical results suggest that the fractal dimension takes value of slightly more than 4 near the critical point. Furthermore, we analyze the correlation functions as functions of the geodesic distance. Numerically, it is suggested that the fractal structure of four-dimensional simplicial manifold can be properly analyzed in terms of the distance between two vertices. Moreover, we show that the behavior of the correlation length regards the phase structure of 4D simplicial manifold.

show abstract

Modification of Hamada-Johnston Potential

Abstract: It has been pointed out by Blattll that the Ramada-Johnston potentiaPl would lead to bound two-nucleon 3 LJ-L-olct states with sufficiently high J_ The argument goes as follows.

Cited by 96 publications

References 0 publications

Physical cosmological constant in asymptotically background-free quantum gravity

Physical cosmological constant in asymptotically background-free quantum gravity

On the conformal properties of topological terms in even dimensions

Fractal structure of 4D euclidean simplicial manifold

Contact Info

Product

Resources

About