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Author Blasone, Massimo.

Title Quantum field theory and its macroscopic manifestations : Boson condensation, ordered patterns, and topological defects / Massimo Blasone & Giuseppe Vitiello, Petr Jizba.

Publication Info. London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific, [2011]
©2011

Item Status

Description 1 online resource (xviii, 526 pages) : illustrations
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references and index.
Summary This book is a self-contained presentation of the quantum field theory of topological defects created during spontaneous symmetry breakdown phase transitions, with a particular emphasis on phenomenological issues of current interest.
Contents 1. The structure of the space of the physical states. 1.1. Introduction. 1.2. The space of the states of physical particles. 1.3. The Weyl-Heisenberg algebra and the Fock space. 1.4. Irreducible representations of the canonical commutation relations. 1.5. Unitarily equivalent representations. 1.6. The Stone-von Neumann theorem. 1.7. Unitarily inequivalent representations. 1.8. The deformation of Weyl-Heisenberg algebra. 1.9. The physical particle energy and momentum operator. 1.10. The physical Fock space and the physical fields -- 2. Inequivalent representations of the canonical commutation relations. 2.1. Introduction. 2.2. Heisenberg fields, physical fields and the dynamical map. 2.3. Examples of inequivalent representations. 2.4. The Haag theorem and non-perturbative physics. 2.5. The momentum operator. 2.6. Time evolution and asymptotic limits. 2.7. Inequivalent representations in flavor mixing -- 3. Spontaneous breakdown of symmetry and the Goldstone theorem. 3.1. Introduction. 3.2. Invariance and symmetry. 3.3. Irreducible representations of the symmetry group. 3.4. Symmetry and the vacuum manifold. 3.5. Boson transformation and inequivalent representations. 3.6. Spontaneous symmetry breaking and functional integrals. 3.7. The Goldstone theorem. 3.8. Spontaneous symmetry breaking in local gauge theories. 3.9. Finite volume effects. 3.10. Space-time dimensionality -- 4. Dynamical rearrangement of symmetry and macroscopic manifestations of QFT. 4.1. Introduction. 4.2. Dynamical rearrangement of symmetry. 4.3. The boson transformation theorem and the non-homogeneous boson condensation. 4.4. Group contraction and spontaneous symmetry breaking. 4.5. Quantum fluctuations and macroscopic stability -- 5. Thermal field theory and trajectories in the space of the representations. 5.1. Introduction. 5.2. Doubling the degrees of freedom. 5.3. Thermo field dynamics : A brief introduction. 5.4. The q-deformed Hopf algebra and the doubling of the field degrees of freedom. 5.5. Free energy, entropy and the arrow of time. Intrinsic thermal nature of QFT. 5.6. Thermal field theory and the gauge field. 5.7. Boson condensation at finite temperature. 5.8. Trajectories in the space of representations.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Quantum field theory.
Quantum field theory.
Quantum theory.
Quantum theory.
Crystals.
Crystals.
Ferromagnetism.
Ferromagnetism.
Superconductors.
Superconductors.
Genre/Form Electronic books.
Electronic books.
Added Author Jizba, Petr.
Vitiello, Giuseppe.
Other Form: Print version: Blasone, Massimo. Quantum field theory and its macroscopic manifestations. London : Imperial College Press ; Singapore ; Hackensack, NJ : Distributed by World Scientific, ©2011 9781848162808 (DLC) 2010034113 (OCoLC)244765476
ISBN 9781848162815 (electronic book)
1848162812 (electronic book)
9781848162808
1848162804