Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects 1st Edition by Massimo Blasone, Petr Jizba, Giuseppe Vitiello ISBN 1911299727 9781911299721

Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects 1st Edition by Massimo Blasone, Petr Jizba, Giuseppe Vitiello – Ebook PDF Instant Download/Delivery: 1911299727, 9781911299721
Full download Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects 1st Edition after payment

Product details:

ISBN 10: 1911299727
ISBN 13:  9781911299721
Author: Massimo Blasone, Petr Jizba, Giuseppe Vitiello

Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects 1st Table of 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
1.8.1 Self-similarity, fractals and the Fock–Bargmann representation
1.9 The physical particle energy and momentum operator
1.10 The physical Fock space and the physical fields
Appendix A Strong limit and weak limit
Appendix B Glauber coherent states
Appendix C Generalized coherent states
Appendix D q-WH algebra, coherent states and theta functions
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
Appendix E Computation of h0| i(x)| n mi
Appendix F Computation of |0( )i
Appendix G Orthogonality of flavor vacua at different times
Appendix H Entanglement in neutrino oscillations
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
3.7.1 U(1) symmetry
3.7.2 SU(2) symmetry
3.8 Spontaneous symmetry breaking in local gauge theories
3.8.1 The U(1) local gauge model
3.8.2 The chiral gauge model
3.9 Finite volume effects
3.10 Space-time dimensionality
Appendix I The order parameter space
Appendix J The Mermin–Wagner–Coleman theorem
4. Dynamical rearrangement of symmetry and macroscopic manifestations of QFT
4.1 Introduction
4.2 Dynamical rearrangement of symmetry
4.2.1 SU(2) symmetry
4.2.2 Global U(1) symmetry
4.2.3 Local U(1) symmetry and the emergence of classical Maxwell equations
4.3 The boson transformation theorem and the nonhomogeneous boson condensation
4.3.1 Topological singularities, gapless modes and macroscopic observables
4.3.2 Defect formation in the process of symmetry breaking phase transitions
4.4 Group contraction and spontaneous symmetry breaking
4.4.1 The infrared effect
4.4.2 Group contraction, boson condensation and macroscopic quantum systems
4.4.3 The collective behavior of quantum components and group contraction
4.5 Quantum fluctuations and macroscopic stability
4.5.1 Quantum mechanical decoherence and stability of macroscopic quantum systems
Appendix K Group contraction and Virasoro algebra
Appendix L Phase locking in the N atom system
5. Thermal field theory and trajectories in the space of the representations
5.1 Introduction
5.2 Doubling the degrees of freedom
5.2.1 The two-slit experiment
5.3 Thermo Field Dynamics: A brief introduction
5.3.1 The propagator structure in TFD
5.3.2 Non-hermitian representation of TFD
5.3.3 TFD for fields with continuous mass spectrum
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
5.5.1 Entropy and system-environment entanglement
5.6 Thermal field theory and the gauge field
5.7 Boson condensation at finite temperature
5.7.1 Free energy and classical energy
5.8 Trajectories in the space of representations
6. Selected topics in thermal field theory
6.1 Introduction
6.2 The Gell-Mann–Low formula and the closed time-path formalism
6.3 The functional integral approach
6.3.1 Generating functionals for Green’s functions
6.3.2 The Feynman–Matthews–Salam formula
6.3.3 More on generating functionals
6.4 The effective action and the Schwinger–Dyson equations
6.5 Imaginary-time formalism
6.6 Geometric background for thermal field theories
6.6.1 The – spacetime
6.6.2 Fields in – spacetime
Appendix M Thermal Wick theorem
Appendix N Coherent state functional integrals
N.1 Glauber coherent states
N.2 Generalized coherent states
Appendix O Imaginary-time formalism and phase transitions
O.1 Landau–Ginzburg treatment
Appendix P Proof of Bogoliubov inequality
7. Topological defects as non-homogeneous condensates. I
7.1 Introduction
7.2 Quantum field dynamics and classical soliton solutions
7.2.1 The dynamical map and the boson transformation
7.2.2 The quantum coordinate
7.3 The 4 kink solution
7.3.1 The kink solution and temperature effects
7.3.2 The kink solution: closed time-path approach
7.4 The sine-Gordon solution
7.4.1 The quantum image of the B¨acklund transformations
7.5 Soliton solutions of the non-linear Schr¨odinger equation
7.5.1 The ferromagnetic chain
7.5.2 Non-linear Schr¨odinger equation with Toda lattice back-reaction potential
7.5.3 Ring solitons in the Scheibe aggregates
7.6 Fermions in topologically non-trivial background fields
7.7 Superfluid vortices
8. Topological defects as non-homogeneous condensates. II
8.1 Introduction
8.2 Vortices in U(1) local gauge theory
8.3 Topological solitons in gauge theories
8.3.1 Homogeneous boson condensation
8.3.2 The vortex of scalar electrodynamics
8.3.3 The ’t Hooft–Polyakov monopole
8.3.4 The sphaleron
8.4 The SU(2) instanton
9. Dissipation and quantization
9.1 Introduction
9.2 The exact action for damped motion
9.2.1 Quantum Brownian motion
9.3 Quantum dissipation and unitarily inequivalent representations in QFT
9.3.1 The arrow of time and squeezed coherent states
9.4 Dissipative non-commutative plane
9.4.1 The dissipative quantum phase interference
9.5 Gauge structure and thermal features in particle mixing
9.6 Dissipation and the many-body model of the brain
9.7 Quantization and dissipation
Appendix Q Entropy and geometrical phases in neutrino mixing
Appendix R Trajectories in the memory space
10. Elements of soliton theory and related concepts
10.1 Introduction
10.2 The Korteweg–de Vries soliton
10.3 Topological solitons in (1 + 1)-d relativistic field theories
10.3.1 The sine-Gordon soliton
10.3.2 The 4 kink
10.4 Topological solitons in gauge theories
10.4.1 The Nielsen–Olesen vortex
10.4.2 The ’t Hooft–Polyakov monopole
10.5 Topological defect classification and the Kibble–Zurek mechanism for defect formation
10.5.1 Exact homotopy sequences
10.5.2 Topological defects in theories with SSB
10.6 Derrick theorem and defect stability
10.7 Bogomol’nyi bounds
10.8 Non-topological solitons
10.9 Instantons and their manifestations
10.9.1 Collective coordinates and fermionic zero modes

People also search for Quantum Field Theory And Its Macroscopic Manifestations Boson Condensation Ordered Patterns And Topological Defects 1st:

quantum field theory maggiore
    
define quantum field theory
    
difference between quantum mechanics and quantum field theory
    
electromagnetism and quantum mechanics
    
macroscopic quantum entanglement

Tags: Massimo Blasone, Petr Jizba, Giuseppe Vitiello, Quantum Field, Macroscopic Manifestations, Topological