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

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

Creator
Contributor
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
Language
eng
Work
Publication
Extent
1 online resource (xviii, 526 pages)
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
Isbn
9781848162815
Instance
Label
Quantum field theory and its macroscopic manifestations : Boson condensation, ordered patterns, and topological defects
Title
Quantum field theory and its macroscopic manifestations
Title remainder
Boson condensation, ordered patterns, and topological defects
Statement of responsibility
Massimo Blasone & Giuseppe Vitiello, Petr Jizba
Creator
Contributor
Subject
Language
eng
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Blasone, Massimo
Dewey number
530.14/3
Illustrations
illustrations
Index
index present
LC call number
QC174.45
LC item number
.B5575 2011eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Jizba, Petr
  • Vitiello, Giuseppe
http://library.link/vocab/subjectName
  • Quantum field theory
  • Quantum theory
  • Crystals
  • Ferromagnetism
  • Superconductors
  • SCIENCE
  • Crystals
  • Ferromagnetism
  • Quantum field theory
  • Quantum theory
  • Superconductors
Label
Quantum field theory and its macroscopic manifestations : Boson condensation, ordered patterns, and topological defects, Massimo Blasone & Giuseppe Vitiello, Petr Jizba
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
733047765
Dimensions
unknown
Extent
1 online resource (xviii, 526 pages)
File format
unknown
Form of item
online
Isbn
9781848162815
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)733047765
Label
Quantum field theory and its macroscopic manifestations : Boson condensation, ordered patterns, and topological defects, Massimo Blasone & Giuseppe Vitiello, Petr Jizba
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
733047765
Dimensions
unknown
Extent
1 online resource (xviii, 526 pages)
File format
unknown
Form of item
online
Isbn
9781848162815
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)733047765

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