5 edition of **Selfdual gauge field vortices** found in the catalog.

- 66 Want to read
- 30 Currently reading

Published
**2007**
by Birkhäuser in Boston, Mass
.

Written in English

- Differential equations, Elliptic.,
- Differential equations, Partial.,
- Differential equations, Nonlinear.,
- Gauge fields (Physics),
- Quantum field theory.

**Edition Notes**

Includes bibliographical references (p. [305]-321) and index.

Statement | Gabriella Tarantello. |

Series | Progress in nonlinear differential equations and their applications -- v. 72 |

Classifications | |
---|---|

LC Classifications | QA377 .T335 2007 |

The Physical Object | |

Pagination | xi, 325 p. ; |

Number of Pages | 325 |

ID Numbers | |

Open Library | OL20010098M |

ISBN 10 | 0817643109 |

ISBN 10 | 9780817643102, 9780817646080 |

LC Control Number | 2007941559 |

CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): The classical theory of non-relativistic charged particle interacting with U(1) gauge field is reformulated as the Schrödinger wave equation modified by the de-Broglie-Bohm quantum potential nonlinearity. For, (1- ¯h 2) deformed strength of quantum potential the model is gauge equivalent to the . Submission history From: Rodolfo Casana R. Casana [] Tue, 15 Sep GMT (47kb) Sun, 21 Feb GMT (15kb) [v3] Mon, 5 Dec GMT (kb)Cited by: 6.

Making use of ϕ-mapping topological current method, we discuss the self-dual vortices in the Abelian Chern-Simons model with two complex scalar fields. For each scalar field, an exact nontrivial equation with a topological term which is missing in many references is derived analytically. The general angular momentum is obtained. The magnetic flux which relates the Cited by: 1. With this duality constraint imposed, one speaks of self-dual higher gauge fields or chiral higher gauge fields or higher gauge fields with self-dual curvature. (These are a higher degree/dimensional generalization of what in Yang-Mills theory are called Yang-Mills instanton field configurations.). Since imposing the self-duality constraint on the fields that enter the .

Nonabelian Gauge Theories 1 Non-Perturbative Methods of Quantum Field Theory 8 Bogomol'nyi Equations and Dimensional Reduction31 Real Singular Solutions of the Two Dimensional Self-Duality Equations - A First Attempt 45 2. Axially Symmetric Self-Dual Vortices The Atiyah-Ward Construction In physics, a gauge theory is a type of field theory in which the Lagrangian does not change (is invariant) under local transformations from certain Lie groups.. The term gauge refers to any specific mathematical formalism to regulate redundant degrees of freedom in the Lagrangian. The transformations between possible gauges, called gauge transformations, form a Lie .

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The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts. Selfdual Gauge Field Vortices: An Analytical Approach is ideal for graduate students and researchers interested in partial differential equations and mathematical by: Selfdual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Applications Book 72) - Kindle edition by Tarantello, Gabriella.

Download it once and read it on your Kindle device, PC, phones or cturer: Birkhäuser. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts.

Selfdual Gauge Field Vortices: An Analytical Approach is ideal for graduate students and researchers interested in partial differential equations and mathematical : Birkhäuser Basel. The goal of this text is to form an understanding of selfdual solutions arising in a variety of physical contexts.

Selfdual Gauge Field Vortices: An Analytical Approach is ideal for graduate students and researchers interested in partial differential equations and mathematical physics. Selfdual Gauge Field Vortices: An Analytical Approach is ideal for graduate students and researchers interested in partial differential equations and mathematical physics.

Keywords Gauge theory Partial differential equations Quantum Hall effect Theoretical physics elliptic equations mathematical physics partial differential equation quantum field theory. Selfdual gauge field vortices: an analytical approach.

[Gabriella Tarantello] -- "In modern theoretical physics, gauge field theories are of great importance since they keep internal symmetries and account for phenomena such as spontaneous symmetry. This monograph discusses specific examples of selfdual gauge field structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge field theory.

The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of Chern–Simons–Higgs.

Preface.- Selfdual Gauge Field Theories.- Elliptic Problems in the Study of Self-ual Vortex Configurations.- Planar Self-dual Chern–Simons Vortices.- Periodic Selfdual Chern–Simons Vortices.- The Analysis of Liouville-type Equations with Singular Sources.- Mean Field Equations of Liouville-type.- Selfdual Electroweak Vortices and Strings.- References Cite this chapter as: () Selfdual Electroweak Vortices and Strings.

In: Selfdual Gauge Field Vortices. Progress in Nonlinear Differential Equations and Their Applications, vol Selfdual Gauge Field Vortices: An Analytical Approach This monograph discusses specific examples of Selfdual gauge field structures.

Many open questions remain in the field and are examined here. The goal of this text is to form an understanding of Selfdual solutions arising in a variety of physical contexts. This monograph discusses specific examples of gauge field theories that exhibit a selfdual author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of the subject and formulating examples ranging from the well-known abelian–Higgs and Yang–Mills models to the Chern–Simons–Higgs theories (in both Author: G Tarantello.

Motivated by the study of selfdual vortices in gauge field theory, we consider a class of Mean Field equations of Liouville-type on compact surfaces involving singular data assigned by Dirac Author: Gabriella Tarantello. About this book Self-dual Chern-Simons theories form a new class of self-dual gauge theories and provide a field theoretical formulation of anyonic excitations in planar (i.e., Brand: Springer-Verlag Berlin Heidelberg.

The abelian Chern–Simons model with two Higgs fields is the (2+1)-dimensional Chern–Simons gauge field theory described by the Lagrangian density (1) L = κ 4 ε μ ν ρ F μ ν A ρ + (D 1 μ ψ) (D 1 μ ψ) ∗ + (D 2 μ ϕ) (D 2 μ ϕ) ∗ − V (ψ, ϕ), where A μ (μ = 0, 1, 2) is the gauge field Cited by: 1.

Tarantello G Self-dual gauge field vortices: an analytical approach Progress in Nonlinear Differential Equations and their Applications vol 72 (Boston, MA: Birkhäuser) [67] Tarantello G Multiple condensate solutions for the Chern–Simons–Higgs theory J. Math.

Phys. 37 – Tarantello is the author of the book Selfdual Gauge Field Vortices: An Analytical Approach (Progress in Nonlinear Differential Equations and Their Applicati Birkhäuser, ).

We have shown the existence of self-dual solutions in new Maxwell-Higgs scenarios where the gauge field possesses a k-generalized dynamic, i.e., the kinetic term of gauge field is a highly nonlinear function of F μν F μν.

We have implemented our proposal by means of a k-generalized model displaying the spontaneous symmetry breaking by: 6. SIAM Journal on Mathematical Analysis > Vol Issue 1 > / Gauge Theory on Infinite Connected Sum and Mean Dimension. Mathematical Physics, Analysis and GeometryOn Some Elliptic Problems in the Study of Selfdual Chern-Simons Vortices.

Geometric Analysis and PDEs, () Gluing an Infinite Cited by: Recently, Hong, Kim and Pac [ 1 ], and Jackiw and Weinberg [2] constructed selfdual vortex solutions, in the static limit of a (2+ 1)-dimensional system consisting of an abelian gauge field interacting with a complex scalar Higgs field.

The gauge field dynamics of this model [ ] was controlled by a ChernSimons (CS) term, rather than the Cited by: There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

Received: February k-generalized gauge R. Casana 0 A. Cavalcante 0 E. da Hora 0 1 Open Access 0 c The Authors. 0 0S~ao Lu s, Maranh~ao, Brazil 1 Coordenadoria Interdisciplinar de Ci 2 encia e Tecnologia, Universidade Federal do Maranh~ao We have shown the existence of self-dual solutions in new Maxwell-Higgs scenarios where the gauge eld Cited by: 6.Selfdual Gauge Field Vortices An Analytical Approach GABRIELLA TARANTELLO, Università di Roma ‘Tor Vergata’, Italy This monograph discusses speciﬁ c examples of selfdual gauge ﬁ eld structures, including the Chern–Simons model, the abelian–Higgs model, and Yang–Mills gauge .Abstract.

In this paper, we prove the existence of nontopological so-lutions to the self-dual equations arising from the Chern-Simons gaugedO(3) sigma models.

The property of solutions depends on a parameterτ ∈ [−1,1] appearing in the nonlinear term. The case τ = 1 lies on theborderline for the existence of solutions in the previous results [4, 5, 7].We prove the .