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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 | OL21836391M |

ISBN 10 | 0817643109 |

ISBN 10 | 9780817643102, 9780817646080 |

LC Control Number | 2007941559 |

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.

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