Sum rules from an extra dimension

AbstractWe investigate a braneworld model generated by a global monopole in the context of Brans–Dicke gravity. After solving the dynamical equations we found a model capable to alleviate the so-called hierarchy problem. The obtained framework is described by a hybrid compactification scheme endowed with a seven-dimensional spacetime, in which the brane has four non-compact dimensions and two curled extra dimensions. The relevant aspects of the resulting model are studied and the requirements to avoid the well known seesaw-like behavior are discussed. We show that under certain conditions it is possible to circumvent such a pathological behavior that characterizes most of the models that exhibit hybrid compactification. Lastly, we deepen our analysis by considering possible extensions of this model to a setup with multiple branes and orbifold-like extra dimension. For this, we compute the consistency conditions to be obeyed by this more general configuration as predicted by the braneworld sum rules formalism. This study indicates the possibility of exclusively positive brane tensions in the model.

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A Perturbation Theory for the Population of Atomic Energy Levels in Non-Lte Plasmas

International Astronomical Union Colloquium ◽

10.1017/s025292110010805x ◽

1988 ◽

Vol 102 ◽

pp. 343-347

Author(s):

M. Klapisch

Keyword(s):

Perturbation Theory ◽

Small Parameter ◽

Classification Scheme ◽

Sum Rules ◽

Energy Levels ◽

Natural Classification ◽

Quantum Numbers ◽

Formal Expansion ◽

Atomic Energy Levels ◽

As Effects

AbstractA formal expansion of the CRM in powers of a small parameter is presented. The terms of the expansion are products of matrices. Inverses are interpreted as effects of cascades.It will be shown that this allows for the separation of the different contributions to the populations, thus providing a natural classification scheme for processes involving atoms in plasmas. Sum rules can be formulated, allowing the population of the levels, in some simple cases, to be related in a transparent way to the quantum numbers.

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Sum Rules for Optical Extinction and Scattering by Small Particles.

10.21236/ada170815 ◽

1986 ◽

Author(s):

Craig F. Bohren

Keyword(s):

Sum Rules ◽

Small Particles ◽

Optical Extinction

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KRAMERS--KRONIG RELATIONS AND SUM RULES.

10.2172/4632269 ◽

1972 ◽

Author(s):

R Kubo ◽

M Ichimura

Keyword(s):

Sum Rules

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The Quality of Life Definition: Where Are We Going?

Uro ◽

10.3390/uro1010003 ◽

2021 ◽

Vol 1 (1) ◽

pp. 14-22

Author(s):

Tommaso Cai ◽

Paolo Verze ◽

Truls E. Bjerklund Johansen

Keyword(s):

Quality Of Life ◽

Extra Dimension ◽

Sexual Partner ◽

Therapeutic Approach ◽

Well Being ◽

Narrative Review ◽

Laboratory Findings

The quality of life (QoL) concept now includes new aspects related to patients’ well-being because QoL has become more of a personal perception than an an objective and measurable entity. Here, we discuss the principal aspects of QoL-related aspects in urology and andrology by using a narrative review. Some aspects concerning the QoL are essential when managing uro-andrological patients. The aim of treatments should not only include the absence of disease or symptoms relief but also the improvement of a patient’s QoL with regard to his/her internal status and relationship with others. In this sense, any therapeutic approach should be based on the patient’s perspectives and not only on the instrumental and laboratory findings. Finally, we discussed the role of a patient’s sexual partner adding an extra dimension to the patient-centerd approach as part of the QoL concept in andrology.

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Consistency of nucleon-transfer sum rules in well-deformed nuclei

Physical Review C ◽

10.1103/physrevc.103.024319 ◽

2021 ◽

Vol 103 (2) ◽

Author(s):

B. P. Kay ◽

J. P. Schiffer ◽

S. J. Freeman ◽

T. L. Tang ◽

B. D. Cropper ◽

...

Keyword(s):

Sum Rules ◽

Deformed Nuclei ◽

Nucleon Transfer

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|Vcb| and γ from B-mixing — Addendum to “Bs mixing observables and |Vtd/Vts| from sum rules”

Journal of High Energy Physics ◽

10.1007/jhep03(2020)112 ◽

2020 ◽

Vol 2020 (3) ◽

Author(s):

Daniel King ◽

Matthew Kirk ◽

Alexander Lenz ◽

Thomas Rauh

Keyword(s):

Sum Rules ◽

B Mixing

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Unitarity in KK-graviton production, a case study in warped extra-dimensions

Journal of High Energy Physics ◽

10.1007/jhep04(2021)143 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

A. de Giorgi ◽

S. Vogl

Keyword(s):

Extra Dimensions ◽

Sum Rules ◽

Effective Theory ◽

Higher Dimensional ◽

Massive Spin ◽

The Matrix ◽

Dimensional Gravity ◽

Warped Extra Dimensions ◽

Kaluza Klein

Abstract The Kaluza-Klein (KK) decomposition of higher-dimensional gravity gives rise to a tower of KK-gravitons in the effective four-dimensional (4D) theory. Such massive spin-2 fields are known to be connected with unitarity issues and easily lead to a breakdown of the effective theory well below the naive scale of the interaction. However, the breakdown of the effective 4D theory is expected to be controlled by the parameters of the 5D theory. Working in a simplified Randall-Sundrum model we study the matrix elements for matter annihilations into massive gravitons. We find that truncating the KK-tower leads to an early breakdown of perturbative unitarity. However, by considering the full tower we obtain a set of sum rules for the couplings between the different KK-fields that restore unitarity up to the scale of the 5D theory. We prove analytically that these are fulfilled in the model under consideration and present numerical tests of their convergence. This work complements earlier studies that focused on graviton self-interactions and yields additional sum rules that are required if matter fields are incorporated into warped extra-dimensions.

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