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Patterns of Symmetry Breaking 2003 ed. [Hardback]

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  • Format: Hardback, 404 pages, height x width: 235x155 mm, weight: 1680 g, 10 Illustrations, black and white; X, 404 p. 10 illus., 1 Hardback
  • Series: NATO Science Series II: Mathematics, Physics and Chemistry 127
  • Pub. Date: 30-Nov-2003
  • Publisher: Springer-Verlag New York Inc.
  • ISBN-10: 1402017448
  • ISBN-13: 9781402017445
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  • Format: Hardback, 404 pages, height x width: 235x155 mm, weight: 1680 g, 10 Illustrations, black and white; X, 404 p. 10 illus., 1 Hardback
  • Series: NATO Science Series II: Mathematics, Physics and Chemistry 127
  • Pub. Date: 30-Nov-2003
  • Publisher: Springer-Verlag New York Inc.
  • ISBN-10: 1402017448
  • ISBN-13: 9781402017445
Other books in subject:
The conceptofspontaneous symmetry breaking plays a fundamental role in contemporary physics. It is essential for the description of degenerate ground states, massless modes, and topological defects. Examples are abundant in condensed matter physics, atomic and particle physics, as well as in astro­ physics and cosmology. In fact, spontaneous symmetry breaking can be re­ garded as a cornerstone ofa whole branch ofphysics which intersects the above mentioned traditionally distinct fields. In the year 2000 the European Science Foundation (ESF) started the Pro­ gramme "Cosmology in the Laboratory" (COSLAB), with the goal to search for and to develop analogies betweencondensed matterphysics, particle physics, and cosmology. Not surprisingly, spontaneous symmetry breaking is among the most useful notions in that endeavour. It has been decided that in the sec­ ond year of the Programme a School should be held in order to work out and deliver to a wide audience of students synthetic overviews of achievements and of current research topics of COSLAB. This idea has been supported by the Scientific and Environmental Affairs Division of NATO by including the School in the renowned series of its Advanced Study Institutes. The School, entitled" Patterns of Symmetry Breaking", was held in Cracow during 16-28 September 2002. It gathered 17 lecturers and about 60 students. The present volume contains notes ofmost of the lectures from that School. We hope that of the physics of spon­ it will convey to the reader the breadth and the beauty taneous symmetry breaking.

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Springer Book Archives
Preface 1(2)
Symmetry Breaking and Defects
3(34)
T.W.B. Kibble
Acknowledgments
33(1)
References
34(3)
Liquid 4He and Its Superfluidity
37(46)
O.J. Griffiths
P.C. Hendry
P.V.E. McClintock
H.A. Nichol
Acknowledgments
76(1)
References
76(7)
The Role of Topological Defects in Cosmology
83(28)
M. Sakellariadou
References
107(4)
Cosmic Defects and Particle Physics Constraints
111(28)
A.C. Davis
Theory-F
125(1)
Theory-D
125(4)
Scaling Cosmic Strings
129(1)
Friction Dominated Strings
130(1)
Vortons
130(4)
Constraints
134(3)
References
137(2)
Introduction to the Modern Theory of Phase Transitions
139(22)
Jozef Sznajd
Phase Transitions: From Early Universe to Ice Cube
139(2)
Spontaneous Symmetry Breaking
141(1)
Symmetry and Phase Transitions. Order Parameter
142(2)
Landau theory
143(1)
Fluctuations
144(2)
Power laws - Saint Graal of the complex system science
146(2)
Company size distribution
146(1)
Mortality evolution
146(1)
Lifespan
147(1)
Goal distribution
147(1)
Family name distribution
147(1)
Opinion evolution
147(1)
Scaling
148(2)
Renormalization Group
150(7)
Renormalization group transformation
150(1)
Fixed points
151(1)
Critical index
152(1)
Renormalization group techniques
152(1)
Real-space renormalization
153(2)
Upper critical dimension
155(1)
Momentum-space renormalization
156(1)
Final remarks
157(4)
References
158(3)
Defects in Liquid Crystals: Surface and Interfacial Anchoring Effects
161(36)
O.D. Lavrentovich
Introduction
161(2)
Experimental observations of LC structures
163(4)
Polarizing Microscopy of Liquid Crystals
163(4)
Defects in nematics
167(13)
Topological classification
167(4)
Disclination textures
171(1)
Elasticity
172(4)
Surface anchoring phenomena; Equilibrium point defects in nematic droplets
176(4)
Defects in SmA and other Lamellar Systems
180(13)
Elasticity
180(3)
Dislocations
183(6)
Focal Conic Domains: Surface facetting and Grain boundaries
189(4)
Summary
193(4)
Acknowledgments
193(1)
References
193(4)
Scaling Laws for Fluxon Formation in Annular Josephson Tunnel Junctions
197(12)
R. Monaco
R.J. Rivers
Scaling Laws for Fluxon Production
197(2)
Background
197(1)
The Scaling Predictions For Fluxons
198(1)
The Experiment
199(6)
Measuring Fluxons
199(1)
The experimental setup
200(3)
The measurements
203(2)
The results
205(1)
Comments, Future Experiments and Conclusions
206(3)
Acknowledgments
207(1)
References
207(2)
Nonholonomic Field Theory of Vortices and Defect and their Physe Transitions
209(64)
H. Kleinert
Summary
209(2)
Phase Transitions in Nambu-Goldstone Systems
211(3)
Superfluid 4He and Superconductors
214(22)
Gradient Energy
214(2)
Vortex Density
216(1)
The Partition Function
217(1)
Interaction Energy between Vortices
218(1)
Physical Jumping Surfaces
218(1)
Gauge Field of Superflow
219(3)
Disorder Field Theory
222(3)
Disorder Theory of Superconductor
225(3)
Order versus Disorder
228(4)
Order of Superconducting Phase Transition---Tricritical Point
232(1)
Vortex Lattices
233(3)
Abelian Quark Confinement
236(8)
References
239(5)
Superfluid 4He
244(16)
Gradient Energy
244(1)
Vortex Density
245(1)
The Partition Function
246(1)
Interaction Energy between Vortices
247(1)
Physical Jumping Surfaces
247(1)
Gauge Field of Superflow
248(2)
Disorder Field Theory
250(3)
Disorder Theory of Ginzburg-Superconductor
253(2)
Order versus Disorder
255(4)
Order of Superconducting Phase Transition---Tricritical Point
259(1)
Vortex Lattices
260(1)
Crystals
260(8)
Abelian Quark Confinement
268(5)
Acknowledgments
272(1)
References
272(1)
Vortices and Flat Directions: the Uses of Bogomolnyi Bounds
273(14)
A. Achucarro
Introduction
273(1)
Energy bounds for topological defects
274(2)
Bogomolnyi bounds for Abrikosov-Nielsen-Olesen vortices
276(2)
Semilocal strings
278(1)
D--term supersymmetric QED
279(2)
Bogomolnyi bounds, supersymmetry and fermion zero modes
281(3)
Summary
284(3)
References
284(3)
Evolution of Local Vortices and Interfaces
287(26)
Henryk Arodz
Introduction
287(1)
Simple example - kink in one spatial dimension
288(4)
Vortex in the Abelian Higgs model
292(9)
Evolution of interface in a dissipative system
301(8)
Remarks
309(4)
References
311(2)
Non-Equilibrium Mott Transition in a lattice of Bose-Einstein condensates
313(22)
J. Dziarmaga
A. Smerzi
W.H. Zurek
A.R. Bishop
Introduction
313(2)
Josephson junction arrays
315(2)
The quantum phase model
317(1)
Linear Quench
318(3)
Adiabatic transition: τQ → ∞
319(1)
Instantaneous transition: τQ → 0
319(1)
Diabatic transition
319(2)
The gaussian regime
321(4)
Soft modes
323(2)
Commensurate versus non-commensurate
325(1)
The critical regime
325(2)
From superfluid to insulating phase
327(3)
Conclusion
330(5)
Acknowledgments
331(1)
Appendix
331(1)
References
332(3)
Spontaneous Breakdown of chiral symmetry in QCD
335(32)
Maciej A. Nowak
Introduction
335(2)
QCD in a nut-shell
337(4)
Diffusion and QCD Vacuum
341(6)
Instantons - defects of the vacuum
347(3)
Spectral universal fluctuations in the QCD
350(3)
Lattice as a quantum dot
353(4)
Prospects
357(10)
Acknowledgments
360(4)
References
364(3)
Domain Wall Solutions
367(14)
Tanmay Vachaspati
Introduction
367(1)
The kink
368(1)
SU (5) x Z2 walls
369(12)
Domain wall lattice
374(2)
Formation of domain walls
376(2)
Importance in cosmology
378(1)
References
378(3)
Phenomenology of Effective Gravity
381(1)
G.E. Volvik
Introduction
381(1)
Gravity as perturbation of quantum vacuum
382(1)
Einstein theory in standard formulation
382(1)
Cosmological constant as vacuum energy
383(1)
Sakharov gravity as elasticity of quantum vacuum
384(1)
Conservation of energy and momentum
384(1)
Three components of `cosmic fluid'
385(1)
Induced cosmological constant
385(1)
Gibbs-Duhem relation and cosmological constant
386(1)
Cosmological constant from vacuum perturbations
387(1)
Robertson-Walker metric and its energy momentum tensor
388(1)
Einstein action
388(1)
Energy-momentum tensor for gravitational field
388(1)
Einstein static Universe
389(1)
Equation of state for gravitational field
389(1)
Einstein solution from phenomenology
389(1)
de Sitter solution as a thermodynamic equilibrium state
390(1)
Phenomenology of Godel Universe
391(1)
Rotating Universe
391(1)
Spin susceptibility of the vacuum
392(1)
Equation of state for the gravitational field and equilibrium state
393(1)
Modification of Einstein equation and relaxation of the vacuum energy
394(1)
Cosmological constant as evolving parameter
394(1)
Dissipation in Einstein equation
395(1)
Cosmological constant as integration constant
396(1)
Flat Universe with two relaxation parameters
397(1)
Relaxation after cosmological phase transition
397(1)
Dark energy as dark matter
398(1)
Analog of quintessence
399(1)
One energy and momentum of gravitational waves
399(3)
Discussion
402(1)
Acknowledgments
403(1)
References
403