scholarly journals Modified Born–Infeld-Dilaton-Axion Coupling in Supersymmetry

Symmetry ◽  
2018 ◽  
Vol 11 (1) ◽  
pp. 14 ◽  
Author(s):  
Yermek Aldabergenov ◽  
Sergei Ketov
Keyword(s):  
Scalar Potential ◽  
Upper Bounds ◽  
Supersymmetric Extension ◽  
Charged Matter ◽  
Non Linear ◽  
Matter Fields

We propose the supersymmetric extension of the modified Born–Infeld-axion-dilaton non-linear electrodynamics that has confined static abelian solutions used for describing the electromagnetic confinement in the presence of axion and dilaton fields, as well as charged matter. The supersymmetric extension also has the non-trivial scalar potential that implies the upper bounds on the matter fields.

scholarly journals Relationship between Age and Value of Information for a Noisy Ornstein–Uhlenbeck Process

Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 940
Author(s):  
Zijing Wang ◽  
Mihai-Alin Badiu ◽  
Justin P. Coon
Keyword(s):  
Value Of Information ◽  
Markov Models ◽  
Upper Bounds ◽  
Distribution Functions ◽  
Lower And Upper Bounds ◽  
Uhlenbeck Process ◽  
Source Data ◽  
Non Linear ◽  
Queue Model ◽  
Selection Of

The age of information (AoI) has been widely used to quantify the information freshness in real-time status update systems. As the AoI is independent of the inherent property of the source data and the context, we introduce a mutual information-based value of information (VoI) framework for hidden Markov models. In this paper, we investigate the VoI and its relationship to the AoI for a noisy Ornstein–Uhlenbeck (OU) process. We explore the effects of correlation and noise on their relationship, and find logarithmic, exponential and linear dependencies between the two in three different regimes. This gives the formal justification for the selection of non-linear AoI functions previously reported in other works. Moreover, we study the statistical properties of the VoI in the example of a queue model, deriving its distribution functions and moments. The lower and upper bounds of the average VoI are also analysed, which can be used for the design and optimisation of freshness-aware networks. Numerical results are presented and further show that, compared with the traditional linear age and some basic non-linear age functions, the proposed VoI framework is more general and suitable for various contexts.

scholarly journals SUPERSTRING MODELS CHALLENGED BY RARE PROCESSES

1987 ◽  
Vol 02 (03) ◽  
pp. 831-890 ◽  
Author(s):  
B. A. CAMPBELL ◽  
J. ELLIS ◽  
K. ENQVIST ◽  
M. K. GAILLARD ◽  
D. V. NANOPOULOS
Keyword(s):  
Upper Bounds ◽  
Low Energy ◽  
Neutrino Masses ◽  
Dynamical Models ◽  
Gauge Bosons ◽  
Yukawa Couplings ◽  
Flavor Changing ◽  
The Standard Model ◽  
New Interactions ◽  
Matter Fields

Superstring models compactified on Calabi–Yau manifolds contain additional matter fields and gauge bosons beyond those in the Standard Model. The new matter and gauge couplings would make additional contributions to conventional electroweak processes, generate extra flavor-changing neutral interactions, and mediate new interactions leading to proton decay and neutrino masses. We use the phenomenological constraints on such effects to derive upper bounds on Yukawa couplings in low-energy dynamical models inspired by the superstring. We draw attention to the processes which give the best bounds on new Yukawa couplings, and which are those where novel superstring effects might first appear as experimental sensitivity is improved. Our bounds are not sufficient to exclude most superstring models with additional light particles, but do suggest that some couplings are too small to realize certain scenarios for symmetry breaking by radiative corrections.

scholarly journals Ricci Linear Weyl/Maxwell Mutual Sourcing

Universe ◽  
2020 ◽  
Vol 6 (9) ◽  
pp. 151
Author(s):  
Aharon Davidson ◽  
Tomer Ygael
Keyword(s):  
Vector Fields ◽  
Scalar Potential ◽  
Vacuum Expectation ◽  
Vacuum Expectation Value ◽  
Electromagnetic Current ◽  
Expectation Value ◽  
Four Dimensions ◽  
Spacetime Curvature ◽  
Novel Variant ◽  
Matter Fields

We elevate the field theoretical similarities between Maxwell and Weyl vector fields into a full local scale/gauge invariant Weyl/Maxwell mutual sourcing theory. In its preliminary form, and exclusively in four dimensions, the associated Lagrangian is dynamical scalar field free, hosts no fermion matter fields, and Holdom kinetic mixing is switched off. The mutual sourcing term is then necessarily spacetime curvature (not just metric) dependent, and inevitably Ricci linear, suggesting that a non-vanishing spacetime curvature can in principle induce an electromagnetic current. In its mature form, however, the Weyl/Maxwell mutual sourcing idea serendipitously constitutes a novel variant of the gravitational Weyl-Dirac (incorporating Brans-Dicke) theory. Counter intuitively, and again exclusively in four dimensions, the optional quartic scalar potential gets consistently replaced by a Higgs-like potential, such that the co-divergence of the Maxwell vector field resembles a conformal vacuum expectation value.

scholarly journals DARK ENERGY IN MODIFIED SUPERGRAVITY

2012 ◽  
Vol 27 (39) ◽  
pp. 1250225 ◽  
Author(s):  
SERGEI V. KETOV ◽  
NATSUKI WATANABE
Keyword(s):  
Dark Energy ◽  
Supersymmetry Breaking ◽  
Energy Function ◽  
Scalar Potential ◽  
Supersymmetric Extension ◽  
Hidden Sector ◽  
Dynamical Dark Energy ◽  
Einstein Approximation

We propose a supersymmetric extension of the dynamical dark energy function and the scalar (super)potential in [Formula: see text] supergravity. Our model is viable in the Einstein approximation, and also has an analytic (regular) scalar potential. The hidden sector responsible for spontaneous supersymmetry breaking is also given.

scholarly journals Comparative Aspects of Spin-Dependent Interaction Potentials for Spin-1/2 and Spin-1 Matter Fields

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
P. C. Malta ◽  
L. P. R. Ospedal ◽  
K. Veiga ◽  
J. A. Helayël-Neto
Keyword(s):  
Comparative Study ◽  
Electromagnetic Interaction ◽  
Elementary Particles ◽  
Massive Scalar ◽  
Charged Matter ◽  
Different Types ◽  
Pseudo Scalar ◽  
Matter Fields ◽  
Vector Particles ◽  
Dependent Interaction

This paper sets out to establish a comparative study between classes of spin- and velocity-dependent potentials for spin-1/2 and spin-1 matter currents/sources in the nonrelativistic regime. Both (neutral massive) scalar and vector particles are considered to mediate the interactions between (pseudo-)scalar sources or (pseudo-)vector currents. Though our discussion is more general, we contemplate specific cases in which our results may describe the electromagnetic interaction with a massive (Proca-type) photon exchanged between two spin-1/2 or two spin-1 carriers. We highlight the similarities and peculiarities of the potentials for the two different types of charged matter and also focus our attention on the comparison between the particular aspects of two different field representations for spin-1 matter particles. We believe that our results may contribute to a further discussion of the relation between charge, spin, and extensibility of elementary particles.

scholarly journals BOUNDS ON THE LIGHTEST HIGGS BOSON MASS WITH THREE AND FOUR FERMION GENERATIONS

1999 ◽  
Vol 14 (10) ◽  
pp. 1605-1632 ◽  
Author(s):  
DAVID DOOLING ◽  
KYUNGSIK KANG ◽  
SIN KYU KANG
Keyword(s):  
Higgs Boson ◽  
Lower Bounds ◽  
Higgs Mass ◽  
Upper Bounds ◽  
Boson Mass ◽  
Fourth Generation ◽  
Higgs Boson Mass ◽  
Supersymmetric Extension ◽  
Vacuum Stability ◽  
The Standard Model

We present lower bounds on the Higgs boson mass in the Standard Model with three and four fermion generations, SM (3,4), as well as upper bounds on the lightest Higgs boson mass in the minimal supersymmetric extension of the SM with three and four generations, MSSM (3,4). Our analysis utilizes the SM (3,4) renormalization-group-improved one-loop effective potential of the Higgs boson to find the upper bounds on the Higgs mass in the MSSM (3,4), while the lower bounds in the SM (3,4) are derived from considerations of vacuum stability. All the bounds increase as the degenerate fourth generation mass increases, providing more room in theory space that respects the increasing experimental lower limit of the Higgs mass.

scholarly journals NOTES ON F-THEORY COMPACTIFICATIONS

2013 ◽  
Vol 21 ◽  
pp. 52-62
Author(s):  
TERUHIKO KAWANO
Keyword(s):  
Charged Matter ◽  
Matter Curve ◽  
Kähler Potential ◽  
Matter Fields

We study the Kähler potential of charged matter fields, whose profiles have a peak on their matter curve — on an "intersection" of 7-branes, in an F-theory compactification. It is shown that the Kähler potential is exactly given by the integral over the matter curve, but not by the integral over the whole GUT surface of 7-branes. This talk is based on our paper "A Note on Kahler Potential of Charged Matter in F-theory," in collaboration with Yoichi Tsuchiya and Taizan Watari.

Estimation of upper bounds for the applicability of non-linear similarity functions for non-dimensional wind and temperature profiles in the surface layer in very stable conditions

2010 ◽  
Vol 467 (2126) ◽  
pp. 473-494 ◽  
Author(s):  
Maithili Sharan ◽  
Pramod Kumar
Keyword(s):  
Surface Layer ◽  
Similarity Theory ◽  
Upper Bounds ◽  
Surface Fluxes ◽  
Similarity Function ◽  
Temperature Profiles ◽  
Similarity Functions ◽  
Surface Exchange ◽  
Stable Conditions ◽  
Non Linear

The computation of surface fluxes by Monin–Obukhov similarity theory with different linear/non-linear similarity functions for non-dimensional wind and temperature profiles becomes limited to specific ranges of ζ = z / L (where z is the height above ground and L is the Obukhov length) and bulk Richardson number ( Ri B ) under very stable conditions. A systematic mathematical analysis is carried out to estimate the upper bounds of ζ and Ri B for the extent of applicability of different non-linear similarity functions in the surface layer under these conditions. A generalized methodology is proposed on the basis of momentum drag coefficient ( C D ) and heat exchange coefficient ( C H ) and applied to various non-linear similarity functions available in the literature. A theoretically derived criterion for the applicability of each of the non-linear similarity function is evaluated with observations from Cooperative Atmosphere-Surface Exchange Study-99 and UK Meteorological Office’s Cardington datasets. The evaluation with both datasets for each non-linear similarity function confirms the validity of proposed theoretical results under very stable conditions.

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