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Invariance And System Theory by Allen Tannenbaum

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1Nambu-Goldstone Bosons And The Higgs Mechanism Without Lorentz Invariance: Analysis Based On Constrained-system Theory

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First, we develop the counting rule for Nambu-Goldstone bosons to the system including two-time derivative terms. In this case, the type-II Nambu-Goldstone bosons may appear along with the massive Nambu-Goldstone ones. The number of the bosons is not reduced in contrast to the system without two-time derivative terms. We also investigate the reduction of the degrees of freedom from the perspective of the Dirac-Bergmann theory of constraints and reproduce the counting rule for Nambu-Goldstone bosons without Lorentz invariance. Then, we construct the generic Higgs model and study a Higgs phenomenon with these Nambu-Goldstone bosons on the basis of the Dirac-Bergmann theory. We show that the gauge fields in this system absorb all of the Nambu-Goldstone bosons such as the type-I, type-II and massive ones.

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  • Title: ➤  Nambu-Goldstone Bosons And The Higgs Mechanism Without Lorentz Invariance: Analysis Based On Constrained-system Theory
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The book is available for download in "texts" format, the size of the file-s is: 0.22 Mbs, the file-s for this book were downloaded 20 times, the file-s went public at Sat Jun 30 2018.

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2Invariance And System Theory : Algebraic And Geometric Aspects

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First, we develop the counting rule for Nambu-Goldstone bosons to the system including two-time derivative terms. In this case, the type-II Nambu-Goldstone bosons may appear along with the massive Nambu-Goldstone ones. The number of the bosons is not reduced in contrast to the system without two-time derivative terms. We also investigate the reduction of the degrees of freedom from the perspective of the Dirac-Bergmann theory of constraints and reproduce the counting rule for Nambu-Goldstone bosons without Lorentz invariance. Then, we construct the generic Higgs model and study a Higgs phenomenon with these Nambu-Goldstone bosons on the basis of the Dirac-Bergmann theory. We show that the gauge fields in this system absorb all of the Nambu-Goldstone bosons such as the type-I, type-II and massive ones.

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  • Title: ➤  Invariance And System Theory : Algebraic And Geometric Aspects
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  • Language: English

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The book is available for download in "texts" format, the size of the file-s is: 479.28 Mbs, the file-s for this book were downloaded 15 times, the file-s went public at Tue Aug 16 2022.

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