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Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields, Arai


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Автор: Arai
Название:  Infinite-Dimensional Dirac Operators and Supersymmetric Quantum Fields
ISBN: 9789811956775
Издательство: Springer
Классификация:


ISBN-10: 9811956774
Обложка/Формат: Soft cover
Страницы: 117
Вес: 0.22 кг.
Дата издания: 02.11.2022
Серия: SpringerBriefs in Mathematical Physics
Язык: English
Издание: 1st ed. 2022
Иллюстрации: 1 illustrations, black and white; xiii, 117 p. 1 illus.
Размер: 235 x 155
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Подзаголовок: An introduction to analysis on boson-fermion fock spaces
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book explains the mathematical structures of supersymmetric quantum field theory (SQFT) from the viewpoints of functional and infinite-dimensional analysis. The main mathematical objects are infinite-dimensional Dirac operators on the abstract Boson–Fermion Fock space. The target audience consists of graduate students and researchers who are interested in mathematical analysis of quantum fields, including supersymmetric ones, and infinite-dimensional analysis. The major topics are the clarification of general mathematical structures that some models in the SQFT have in common, and the mathematically rigorous analysis of them. The importance and the relevance of the subject are that in physics literature, supersymmetric quantum field models are only formally (heuristically) considered and hence may be ill-defined mathematically. From a mathematical point of view, however, they suggest new aspects related to infinite-dimensional geometry and analysis. Therefore, it is important to show the mathematical existence of such models first and then study them in detail. The book shows that the theory of the abstract Boson–Fermion Fock space serves this purpose. The analysis developed in the book also provides a good example of infinite-dimensional analysis from the functional analysis point of view, including a theory of infinite-dimensional Dirac operators and Laplacians.
Дополнительное описание: 1. Boson Fock Space and Bose Field.- 2. Fermion Fock Space and Fermi Field.- 3. Boson-Fermion Fock Space and Supersymmetric Quantum Fields.- 4. Applications to Models in Supersymmetric Quantum Field Theory.



Schwinger`s Quantum Action Principle

Автор: Kimball A. Milton
Название: Schwinger`s Quantum Action Principle
ISBN: 3319201271 ISBN-13(EAN): 9783319201276
Издательство: Springer
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Цена: 6986.00 р.
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Описание: Starting from the earlier notions of stationary action principles, these tutorial notes shows how Schwinger`s Quantum Action Principle descended from Dirac`s formulation, which independently led Feynman to his path-integral formulation of quantum mechanics.

Searches for Supersymmetric Particles in Final States with Multiple Top and Bottom Quarks with the Atlas Detector

Автор: Rizzi Chiara
Название: Searches for Supersymmetric Particles in Final States with Multiple Top and Bottom Quarks with the Atlas Detector
ISBN: 3030528766 ISBN-13(EAN): 9783030528768
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This PhD thesis documents two of the highest-profile searches for supersymmetry performed at the ATLAS experiment using up to 80/fb of proton-proton collision data at a center-of-mass energy of 13 TeV delivered by the Large Hadron Collider (LHC) during its Run 2 (2015-2018).

Searches for the Supersymmetric Partner of the Top Quark, Dark Matter and Dark Energy at the ATLAS Experiment

Автор: Nicolas Maximilian K?hler
Название: Searches for the Supersymmetric Partner of the Top Quark, Dark Matter and Dark Energy at the ATLAS Experiment
ISBN: 3030259870 ISBN-13(EAN): 9783030259877
Издательство: Springer
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Цена: 20962.00 р.
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Описание: Astrophysical observations implying the existence of Dark Matter and Dark Energy, which are not described by the Standard Model (SM) of particle physics, have led to extensions of the SM predicting new particles that could be directly produced at the Large Hadron Collider (LHC) at CERN. Based on 2015 and 2016 ATLAS proton-proton collision data, this thesis presents searches for the supersymmetric partner of the top quark, for Dark Matter, and for DarkEnergy, in signatures with jets and missing transverse energy.Muon detection is key to some of the most important LHC physics results, including the discovery of the Higgs boson and the measurement of its properties. The efficiency with which muons can be detected with the ATLAS detector is measured using Z boson decays. The performance of high-precision Monitored Drift Tube muon chambers under background rates similar to the ones expected for the High Luminosity-LHC is studied.

Dirac Kets, Gamow Vectors and Gel`fand Triplets

Автор: Arno Bohm; Arno Bohm; J.D. Dollard; Manuel Gadella
Название: Dirac Kets, Gamow Vectors and Gel`fand Triplets
ISBN: 3662137518 ISBN-13(EAN): 9783662137512
Издательство: Springer
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Цена: 11753.00 р.
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Описание: The results are then deepened by giving the analytic tools, such as the Hardy class function and Hilbert and Mellin transforms, needed in applications to physical problems. Applications are given to physical theories of such phenomena as decaying states and resonances.

Supersymmetric Grand Unified Theories

Автор: Stuart Raby
Название: Supersymmetric Grand Unified Theories
ISBN: 3319552538 ISBN-13(EAN): 9783319552538
Издательство: Springer
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Цена: 9781.00 р.
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Описание: The Standard Model: background.- The Minimal Supersymmetric Standard Model (MSSM).- Supersymmetric GUTs in 4 space-time dimensions.- SUSY GUTs meets data: LHC, fermion masses and mixing angles, dark matter.- Problems of 4 D SUSY GUTs.- SUSY GUTs in 5 or 6 dimensions: Orbifold GUTs.- SUSY breaking in extra dimensions.- Orbifold GUTs meet data.- SUSY GUTs in string theory: background.- Heterotic orbifold constructions.- Guaranteeing the MSSM, proton decay and precise gauge coupling unification.- Smooth heterotic constructions.- Type II string models and F theory - lectures.- Stabilizing moduli and SUSY breaking.- Cosmology.- Conclusions and Outlook.

Searches for the Supersymmetric Partner of the Top Quark, Dark Matter and Dark Energy at the Atlas Experiment

Автор: Kцhler Nicolas Maximilian
Название: Searches for the Supersymmetric Partner of the Top Quark, Dark Matter and Dark Energy at the Atlas Experiment
ISBN: 3030259900 ISBN-13(EAN): 9783030259907
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Astrophysical observations implying the existence of Dark Matter and Dark Energy, which are not described by the Standard Model (SM) of particle physics, have led to extensions of the SM predicting new particles that could be directly produced at the Large Hadron Collider (LHC) at CERN.

Supersymmetric Mechanics - Vol. 3

Автор: Stefano Bellucci
Название: Supersymmetric Mechanics - Vol. 3
ISBN: 3642098452 ISBN-13(EAN): 9783642098451
Издательство: Springer
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Цена: 13059.00 р.
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Описание: This is the third volume in a series of books on general topics in supersymmetric mechanics. This collection presents material from the well established international and annual INFN-Laboratori Nazionali di Frascati Winter School on the Attractor Mechanism.

Muonium-antimuonium Oscillations in an Extended Minimal Supersymmetric Standard Model

Автор: Boyang Liu
Название: Muonium-antimuonium Oscillations in an Extended Minimal Supersymmetric Standard Model
ISBN: 146142805X ISBN-13(EAN): 9781461428053
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This innovative volume investigates muonium-antimuonium oscillations in an extended, minimal supersymmetric standard model. The text helps establish relationships between the experimental result of the muonium-antimuonium oscillation process and model parameters.

Geometry of Supersymmetric Gauge Theories

Автор: Francois Gieres
Название: Geometry of Supersymmetric Gauge Theories
ISBN: 3662136775 ISBN-13(EAN): 9783662136775
Издательство: Springer
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Цена: 9141.00 р.
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Описание: This monograph gives a detailed and pedagogical account of the geometry of rigid superspace and supersymmetric Yang-Mills theories.

Supersymmetric Gravity and Black Holes

Автор: Stefano Bellucci
Название: Supersymmetric Gravity and Black Holes
ISBN: 3642448690 ISBN-13(EAN): 9783642448690
Издательство: Springer
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Цена: 22201.00 р.
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Описание: This book is based upon lectures presented in the summer of 2009 at the INFN-Laboratori Nazionali di Frascati School on Attractor Mechanism, directed by Stefano Bellucci. It is the fifth volume in a series of books on the general topics of supersymmetry, supergravity, black holes and the attractor mechanism.

Mass Term Effect on Fractional Quantum Hall States of Dirac Particles

Автор: Yonaga Kouki
Название: Mass Term Effect on Fractional Quantum Hall States of Dirac Particles
ISBN: 9811691657 ISBN-13(EAN): 9789811691652
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This book presents the high-precision analysis of ground states and low-energy excitations in fractional quantum Hall states formed by Dirac electrons, which have attracted a great deal of attention. In particular the author focuses on the physics of fractional quantum Hall states in graphene on a hexagonal boron nitride substrate, which was recently implemented in experiments. The numerical approach employed in the book, which uses an exact numerical diagonalization of an effective model Hamiltonian on a Haldane’s sphere based on pseudopotential representation of electron interaction, provides a better understanding of the recent experiments. The book reviews various aspects of quantum Hall effect: a brief history, recent experiments with graphene, and fundamental theories on integer and fractional Hall effects. It allows readers to quickly grasp the physics of quantum Hall states of Dirac fermions, and to catch up on latest research on the quantum Hall effect in graphene.

Differential Geometry through Supersymmetric Glasses

Название: Differential Geometry through Supersymmetric Glasses
ISBN: 9811206775 ISBN-13(EAN): 9789811206771
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
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Описание:

Back in 1982, Edward Witten noticed that classical problems of differential geometry and differential topology such as the de Rham complex and Morse theory can be described in a very simple and transparent way using the language of supersymmetric quantum mechanics. Since then, many research papers have been written on this subject. Unfortunately not all the results in this field known to mathematicians have obtained a transparent physical interpretation, even if this new physical technique has also allowed many mathematical results to be derived which are completely new, in particular, hyper-Kaehler and the so-called HKT geometry. But in almost 40 years, no comprehensive monograph has appeared on this subject. So this book written by an expert in supersymmetric quantum field theories, supersymmetric quantum mechanics and its geometrical applications, addresses this yearning gap.

It comprises three parts: The first, GEOMETRY, gives basic information on the geometry of real, complex, hyper-Kaehler and HKT manifolds, and is principally addressed to the physicist. The second part "PHYSICS" presents information on classical mechanics with ordinary and Grassmann dynamics variables. Besides, the author introduces supersymmetry and dwells in particular on the representation of supersymmetry algebra in superspace. And the last and most important part of the book "SYNTHESIS", is where the ideas borrowed from physics are used to study purely mathematical phenomena.


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