Confining the gauge field to a lower dimensional subspace by an inhomogeneous Higgs mechanism

1994 ◽  
Vol 50 (11) ◽  
pp. 6978-6983
Author(s):  
T. Blum ◽  
L. Kärkkäinen
Keyword(s):  
Gauge Field ◽  
Dimensional Subspace ◽  
Higgs Mechanism ◽  
Lower Dimensional

Higgs mechanism for Kalb-Ramond gauge field

1989 ◽  
Vol 40 (10) ◽  
pp. 3396-3401 ◽  
Author(s):  
Soo-Jong Rey
Keyword(s):  
Gauge Field ◽  
Higgs Mechanism

scholarly journals Eigencages: Learning a Latent Space of Porous Cage Molecules

2018 ◽  
Author(s):  
Arni Sturluson ◽  
Melanie T. Huynh ◽  
Arthur H. P. York ◽  
Cory Simon
Keyword(s):  
Dimensional Subspace ◽  
Singular Value ◽  
Adsorption Properties ◽  
3D Image ◽  
Latent Space ◽  
Cage Molecules ◽  
Gas Molecules ◽  
Low Dimensional ◽  
Value Decomposition ◽  
Lower Dimensional

<div>Porous organic cage molecules harbor nano-sized cavities that can selectively adsorb gas molecules, lending them applications in separations and sensing. The geometry of</div><div>the cavity strongly influences their adsorptive selectivity. </div><div><br></div><div>For comparing cages and predicting their adsorption properties, we embed/encode a set of 74 porous organic</div><div>cage molecules into a low-dimensional, latent “cage space” on the basis of their intrinsic porosity. </div><div><br></div><div>We first computationally scan each cage to generate a 3D image of its porosity. Leveraging the singular value decomposition, in an unsupervised manner, we then learn across all cages an approximate, lower-dimensional subspace in which the 3D porosity images lay. The “eigencages” are the set of orthogonal characteristic 3D porosity images that span this lower-dimensional subspace, ordered in terms of importance. A latent representation/encoding of each cage follows from expressing it as a combination of the eigencages. </div><div><br></div><div>We show that the learned encoding captures salient features of the cavities of porous cages and is predictive of properties of the cages that arise from cavity shape.</div>

scholarly journals Design and Implementation of Ethical Values Created Curriculum Development to Improve Mobile Security

2019 ◽  
Vol 9 (2S4) ◽  
pp. 625-628
Keyword(s):  
Curriculum Development ◽  
Dimensional Subspace ◽  
Mobile Security ◽  
Ethical Values ◽  
3D Perception ◽  
Design And Implementation ◽  
3D Surface ◽  
Relevant Calculation ◽  
Lower Dimensional

Medicinal imaging has assumed a key job in the direction of MIS strategies to expand the specialists' spatial introduction and help with the distinguishing proof of basic life systems and pathology. Current intransigent perception frameworks are promising. Be that as it may, they can barely meet the necessities of high goals and continuous 3D perception of the careful scene to help the acknowledgment of anatomic structures for safe MIS techniques. In this exploration we present a by and large relevant calculation which plans to furnish specialists with constant 3D perception of complete organ misshapen utilizing 3D optical fix pictures with constrained perspectives and a solitary preoperative MRI or CT filter. The proposed calculation is stretched out to remake the inside structures of an organ by just testing on the outside surface. Reconstructing is persuaded by our exact perception that the round consonant coefficients comparing to mutilated surfaces of a given organs lie in lower dimensional subspace in an organized lexicon that can be gained from a lot of agents preparing surfaces. The proposed methodology recognizes a structured scanty portrayal of every 3D surface. This enables the method to recreate discretionary organ misshapen utilizing exceptionally restricted watched information with high exactness.

scholarly journals Renormalizing gravity: A new insight into an old problem

2018 ◽  
Vol 27 (14) ◽  
pp. 1847002 ◽  
Author(s):  
Saurya Das ◽  
Mir Faizal ◽  
Elias C. Vagenas
Keyword(s):  
Quantum Gravity ◽  
Gauge Field ◽  
Particle Physics ◽  
Higgs Mechanism ◽  
Spin Connection ◽  
Effective Reduction ◽  
Renormalizable Theory ◽  
Perturbative Quantum ◽  
Insight Into

It is well known that perturbative quantum gravity is nonrenormalizable. The metric or vierbein has generally been used as the variable to quantize in perturbative quantum gravity. In this paper, we show that one can use the spin connection instead, in which case it is possible to obtain a ghost-free renormalizable theory of quantum gravity. Furthermore in this approach, gravitational analogs of particle physics phenomena can be studied. In particular, we study the gravitational Higgs mechanism using spin connection as a gauge field, and show that this provides a mechanism for the effective reduction in the dimensionality of spacetime.

Fractal properties of products and projections of measures in ℝd

1994 ◽  
Vol 115 (3) ◽  
pp. 527-544 ◽  
Author(s):  
Xiaoyu Hu ◽  
S. James Taylor
Keyword(s):  
Dimensional Subspace ◽  
Fractal Measure ◽  
Borel Measures ◽  
Fractal Properties ◽  
Packing Dimensions ◽  
Fractal Measures ◽  
Almost All ◽  
Lower Dimensional

AbstractBorel measures in ℝd are called fractal if locally at a.e. point their Hausdorff and packing dimensions are identical. It is shown that the product of two fractal measures is fractal and almost all projections of a fractal measure into a lower dimensional subspace are fractal. The results rely on corresponding properties of Borel subsets of ℝd which we summarize and develop.

scholarly journals Hamiltonian formalism of topologically massive electrodynamics

2019 ◽  
Vol 34 (10) ◽  
pp. 1950067 ◽  
Author(s):  
Taegyu Kim ◽  
Seyen Kouwn ◽  
Phillial Oh
Keyword(s):  
Gauge Field ◽  
Tensor Field ◽  
Hamiltonian Formalism ◽  
Higgs Mechanism ◽  
Canonical Analysis ◽  
Antisymmetric Tensor ◽  
Antisymmetric Tensor Field ◽  
Topological Interaction

We consider the four-dimensional topologically massive electrodynamics in which a gauge field interacts with rank two antisymmetric tensor field through a topological interaction. The photon becomes massive by eating the rank two tensor field, which is dual to the Higgs mechanism. We explicitly demonstrate the nature of the mechanism by performing a canonical analysis of the theory and discuss various aspects of it.

ASYMPTOTIC COMPLETENESS AND THE THREE-DIMENSIONAL GAUGE THEORY HAVING THE CHERN-SIMON TERM

1989 ◽  
Vol 04 (05) ◽  
pp. 1055-1064 ◽  
Author(s):  
N. NAKANISHI
Keyword(s):  
Gauge Theory ◽  
Gauge Field ◽  
Three Dimensional ◽  
Asymptotic Completeness ◽  
Higgs Mechanism ◽  
Mass Generation ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Covariant Gauge ◽  
Asymptotic Fields

The three-dimensional Abelian gauge theory having the Chern-Simon term is studied. When matter current is absent, the gauge field in covariant gauge is explicitly expressed in terms of asymptotic fields. It is shown that the mechanism of mass generation can be understood as a kind of the Higgs mechanism.

scholarly journals Non-Abelian gauge field localization on walls and geometric Higgs mechanism

2017 ◽  
Vol 2017 (5) ◽  
Author(s):  
Masato Arai ◽  
Filip Blaschke ◽  
Minoru Eto ◽  
Norisuke Sakai
Keyword(s):  
Gauge Field ◽  
Higgs Mechanism ◽  
Abelian Gauge ◽  
Field Localization

scholarly journals Eigencages: Learning a Latent Space of Porous Cage Molecules

2018 ◽  
Author(s):  
Arni Sturluson ◽  
Melanie T. Huynh ◽  
Arthur H. P. York ◽  
Cory Simon
Keyword(s):  
Dimensional Subspace ◽  
Singular Value ◽  
Adsorption Properties ◽  
3D Image ◽  
Latent Space ◽  
Cage Molecules ◽  
Gas Molecules ◽  
Low Dimensional ◽  
Value Decomposition ◽  
Lower Dimensional

<div>Porous organic cage molecules harbor nano-sized cavities that can selectively adsorb gas molecules, lending them applications in separations and sensing. The geometry of</div><div>the cavity strongly influences their adsorptive selectivity. </div><div><br></div><div>For comparing cages and predicting their adsorption properties, we embed/encode a set of 74 porous organic</div><div>cage molecules into a low-dimensional, latent “cage space” on the basis of their intrinsic porosity. </div><div><br></div><div>We first computationally scan each cage to generate a 3D image of its porosity. Leveraging the singular value decomposition, in an unsupervised manner, we then learn across all cages an approximate, lower-dimensional subspace in which the 3D porosity images lay. The “eigencages” are the set of orthogonal characteristic 3D porosity images that span this lower-dimensional subspace, ordered in terms of importance. A latent representation/encoding of each cage follows from expressing it as a combination of the eigencages. </div><div><br></div><div>We show that the learned encoding captures salient features of the cavities of porous cages and is predictive of properties of the cages that arise from cavity shape.</div>

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