On the stability of gauge fields in higher dimensions

1990 ◽  
Vol 19 (3) ◽  
pp. 237-243 ◽  
Author(s):  
Zhong-Qi Ma ◽  
D. H. Tchrakian
Keyword(s):  
Higher Dimensions ◽  
Gauge Fields ◽  
The Stability

scholarly journals Chiral Anomalies of Anti-Symmetric Tensor Gauge Fields in Higher Dimensions

1987 ◽  
Vol 78 (2) ◽  
pp. 440-452 ◽  
Author(s):  
R. Endo ◽  
M. Takao
Keyword(s):  
Symmetric Tensor ◽  
Higher Dimensions ◽  
Gauge Fields

Asymptotic stability of heteroclinic cycles in systems with symmetry

1995 ◽  
Vol 15 (1) ◽  
pp. 121-147 ◽  
Author(s):  
Martin Krupa ◽  
Ian Melbourne
Keyword(s):  
Asymptotic Stability ◽  
Ad Hoc ◽  
Necessary Conditions ◽  
Sufficient Conditions ◽  
Higher Dimensions ◽  
Systematic Investigation ◽  
Heteroclinic Cycles ◽  
General Sufficient Condition ◽  
Higher Dimensional ◽  
The Stability

AbstractSystems possessing symmetries often admit heteroclinic cycles that persist under perturbations that respect the symmetry. The asymptotic stability of such cycles has previously been studied on an ad hoc basis by many authors. Sufficient conditions, but usually not necessary conditions, for the stability of these cycles have been obtained via a variety of different techniques.We begin a systematic investigation into the asymptotic stability of such cycles. A general sufficient condition for asymptotic stability is obtained, together with algebraic criteria for deciding when this condition is also necessary. These criteria are always satisfied in ℝ3 and often satisfied in higher dimensions. We end by applying our results to several higher-dimensional examples that occur in mode interactions with O(2) symmetry.

scholarly journals BLACK HOLES IN THE PRESENCE OF COSMOLOGICAL CONSTANT AND LARGE-N BRANE WORLD

2009 ◽  
Vol 24 (26) ◽  
pp. 2107-2118 ◽  
Author(s):  
MINGXING LUO ◽  
SIBO ZHENG
Keyword(s):  
Cosmological Constant ◽  
Higher Dimensions ◽  
Brane World ◽  
Gauge Fields ◽  
Brane Worlds ◽  
Gravitational Theories ◽  
Large N ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Constant Dilaton

Gravitational theories including negative cosmological constant, dilaton and gauge fields are explored in higher dimensions, in which black hole solutions are shown to exist and their asymptotic behaviors are obtained. Based on these solutions, effective Randall–Sundrum brane worlds are constructed. In the framework of gauge/gravity duality, effects from cosmological constant on the spectra of standard model fields on the branes are perturbatively calculated.

scholarly journals FIELD CONFIGURATIONS AND THEIR INSTABILITY INDUCED BY HIGHER DIMENSIONS OF SPACE–TIME: AN EXAMPLE

1999 ◽  
Vol 14 (34) ◽  
pp. 2393-2401 ◽  
Author(s):  
LAURA MERSINI
Keyword(s):  
Higher Dimensions ◽  
Energy Difference ◽  
Field Configuration ◽  
The Other ◽  
Four Dimensions ◽  
Fifth Dimension ◽  
True Vacuum ◽  
Twisted Field ◽  
Five Dimensional Model ◽  
The Stability

We use the model of L. Randall et al.3 to investigate the stability of allowed quantum field configurations. Firstly, we find that due to the topology of this five-dimensional model, there are two possible configurations of the scalar field, untwisted and twisted. They give rise to two types of instability. Secondly, when allowed to interact in the brane, the untwisted field is shown to be unstable even if it is at the true vacuum ground state as a result of one-loop corrections that arise from coupling with the twisted field. On the other hand, the twisted field can make the two three-branes (that are otherwise identical in their properties and geometry) distinguishable therefore causing an energy difference between them. That is due to the antiperiodicity of the twisted fields, when rotating with π to go from one three-brane to the other. This energy difference between the branes renders the fifth dimension unstable. This toy model is simple enough to use to illustrate a point that can be important for the general case of any high dimension model, namely: higher dimensions, besides many other effects can also induce more than one field configuration and that can have consequences (e.g. instabilities) even after reducing the problem to four dimensions.

scholarly journals Advances in synthetic gauge fields for light through dynamic modulation

2018 ◽  
Vol 5 (4) ◽  
pp. 172447 ◽  
Author(s):  
Daniel Hey ◽  
Enbang Li
Keyword(s):  
Magnetic Field ◽  
Gauge Field ◽  
Time Reversal ◽  
Higher Dimensions ◽  
Gauge Fields ◽  
Time Reversal Symmetry ◽  
Topological Properties ◽  
Dynamic Modulation ◽  
Recent Developments ◽  
Synthetic Gauge Fields

Photons are weak particles that do not directly couple to magnetic fields. However, it is possible to generate a photonic gauge field by breaking reciprocity such that the phase of light depends on its direction of propagation. This non-reciprocal phase indicates the presence of an effective magnetic field for the light itself. By suitable tailoring of this phase, it is possible to demonstrate quantum effects typically associated with electrons, and, as has been recently shown, non-trivial topological properties of light. This paper reviews dynamic modulation as a process for breaking the time-reversal symmetry of light and generating a synthetic gauge field, and discusses its role in topological photonics, as well as recent developments in exploring topological photonics in higher dimensions.

scholarly journals On the stability of (M theory) stars against collapse: Role of anisotropic pressures

2015 ◽  
Vol 30 (27) ◽  
pp. 1550165
Author(s):  
S. Kalyana Rama
Keyword(s):  
Crucial Role ◽  
Equations Of State ◽  
Higher Dimensions ◽  
Singular Solutions ◽  
Spherically Symmetric ◽  
Stability Of Stars ◽  
The Stability ◽  
M Theory ◽  
Anisotropic Pressures

Unitarity of evolution in gravitational collapses implies existence of macroscopic stable horizonless objects. With such objects in mind, we study the effects of anisotropy of pressures on the stability of stars. We consider stars in four or higher dimensions and also stars in M theory made up of (intersecting) branes. Taking the stars to be static, spherically symmetric and the equations of state to be linear, we study “singular solutions” and the asymptotic perturbations around them. Oscillatory perturbations are likely to imply instability. We find that nonoscillatory perturbations, which may imply stability, are possible if an appropriate amount of anisotropy is present. This result suggests that it may be possible to have stable horizonless objects in four or any higher dimensions, and that anisotropic pressures may play a crucial role in ensuring their stability.

Gauge fields on the stability subgroup of the vacuum in a nonlinear realization

1976 ◽  
Vol 29 (2) ◽  
pp. 1063-1066
Author(s):  
A. A. Kapustnikov
Keyword(s):  
Gauge Fields ◽  
Nonlinear Realization ◽  
The Stability

STABILITY OF NON-TOPOLOGICAL CHERN-SIMONS VORTICES IN A ϕ2-MODEL

1993 ◽  
Vol 08 (31) ◽  
pp. 2955-2962 ◽  
Author(s):  
JOAQUIN ESCALONA ◽  
MANUEL TORRES ◽  
ARMANDO ANTILLON
Keyword(s):  
Scalar Field ◽  
Gauge Fields ◽  
Magnetic Contribution ◽  
Small Perturbations ◽  
The Stability ◽  
Chern Simons ◽  
Topological Mass

We study the stability under small perturbations for the recently discovered self-dual non-topological vortices in a ϕ2 Abelian Chern-Simons (CS) theory. The solitons appear in the Bogomol'nyi limit of a model of scalar and gauge fields which includes both the CS term and an anomalous magnetic contribution. It is demonstrated here, that the vortices are stable or unstable according to whether the vector topological mass κ is less than or greater than the mass m of the scalar field. The interaction between vortices is determined as attractive for (m < κ) and repulsive for (m > κ).

scholarly journals Monomorphic ESS does not imply the stability of the corresponding polymorphic state in the replicator dynamics in matrix games under time constraints

2021 ◽  
Author(s):  
Tamás Varga ◽  
József Garay
Keyword(s):  
Replicator Dynamics ◽  
Strong Stability ◽  
Higher Dimensions ◽  
Time Constraints ◽  
Matrix Games ◽  
The Stability ◽  
Stability Concept

One of the main result in the theory of classical evolutionary matrix games (Maynard Smith and Price 1973, Maynard Smith 1982) claims that monomorphic ESS condition implies the stability of the corresponding state of the polymorphic replicator dynamics (Hofbauer et al. 1979, Zeeman 1980). The picture was then refined by Cressman (1990) introducing the strong stability concept which says that if there is a monomorphic ESS then stable polymorphism is established in polymorphic populations. In this paper we demonstrate with examples that this relationship generally does not hold in three or higher dimensions if times related to the interactions vary with the strategies of the participants.

Sign in / Sign up

Export Citation Format

Share Document