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  • Derived Functors And Sheaf Cohomology

    Series Book 2 - Contemporary Mathematics And Its Applications: Monographs, Expositions And Lecture Notes
    The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.The first part of the book provides the foundational material: Chapter 1 ... Read more

    $62.99 USD

  • Geometric Representation Theory and Gauge Theory

    Cetraro, Italy 2018

    Series series Mathematics and Statistics (R0)
    This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniques in representation theory with the use of powerful tools from algebraic geometry, and with strong inputs from physics. The notes are based on lectures delivered at the CIME school "Geometric Representation Theory and Gauge Theory" held in ... Read more

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  • Enrico Fermi

    The Obedient Genius

    Translated by Ugo Bruzzo ...
    Series series Mathematics and Statistics (R0)
    This biography explores the life and career of the Italian physicist Enrico Fermi, which is also the story of thirty years that transformed physics and forever changed our understanding of matter and the universe: nuclear physics and elementary particle physics were born, nuclear fission was discovered, the Manhattan Project was developed, the atomic bombs were dropped, and the era of “big science ... Read more

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  • Geometry and Physics of Branes

    Edited by U Bruzzo, V. Gorini, U. Moschella ...
    Series series Series in High Energy Physics, Cosmology and Gravitation
    Branes are solitonic configurations of a string theory that are represented by extended objects in a higher-dimensional space-time. They are essential for a comprehension of the non-perturbative aspects of string theory, in particular, in connection with string dualities. From the mathematical viewpoint, branes are related to several important theo ... Read more

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    Integration, Summation and Special Functions

    Series series Computer Science (R0)
    The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from ... Read more

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  • Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

    Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

    Series series Lecture Notes of the Les Houches Summer School
    The book is based on the lectures delivered at the XCIII Session of the École de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations. ... Read more

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  • Non-minimal Higgs Inflation and Frame Dependence in Cosmology

    Series series Physics and Astronomy (R0)
    This thesis explores the idea that the Higgs boson of the Standard Model and the cosmological inflation are just two manifestations of one and the same scalar field - the Higgs-inflation. By this unification two energy scales that are separated by many orders of magnitude are connected, thereby building a bridge between particle physics and cosmology. An essential ingredient for making this model ... Read more

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  • An Advanced Course in Computational Nuclear Physics

    Bridging the Scales from Quarks to Neutron Stars

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    This graduate-level text collects and synthesizes a series of ten lectures on the nuclear quantum many-body problem. Starting from our current understanding of the underlying forces, it presents recent advances within the field of lattice quantum chromodynamics before going on to discuss effective field theories, central many-body methods like Monte Carlo methods, coupled cluster theories, the ... Read more

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  • Supersymmetric Grand Unified Theories

    From Quarks to Strings via SUSY GUTs

    by Stuart Raby ...
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    These course-tested lectures provide a technical introduction to Supersymmetric Grand Unified Theories (SUSY GUTs), as well as a personal view on the topic by one of the pioneers in the field.While the Standard Model of Particle Physics is incredibly successful in describing the known universe it is, nevertheless, an incomplete theory with many free parameters and open issues. An elegant solution ... Read more

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  • An Introduction to Relativistic Processes and the Standard Model of Electroweak Interactions

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    This book offers a self-contained introduction to the theory of electroweak interactions based on the semi-classical approach to relativistic quantum field theory, with thorough discussion of key aspects of the field. The basic tools for the calculation of cross sections and decay rates in the context of relativistic quantum field theory are reviewed in a short, but complete and rigorous, ... Read more

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  • Embedded Random Matrix Ensembles in Quantum Physics

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    Although used with increasing frequency in many branches of physics, random matrix ensembles are not always sufficiently specific to account for important features of the physical system at hand. One refinement which retains the basic stochastic approach but allows for such features consists in the use of embedded ensembles.The present text is an exhaustive introduction to and survey of this ... Read more

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  • Quantum Mechanics in Matrix Form

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    This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrödinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the ... Read more

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