Kinks and Domain Walls: An Introduction to Classical and Quantum Solitons

Tanmay Vachaspati

doi:10.1017/9781009290456

Kinks and domain walls are the simplest kind of solitons and are invaluable for testing various ideas and for learning about non-perturbative aspects of field theories. They are the subject of research in essentially every branch of physics, ranging from condensed matter to cosmology. This book, first published in 2006, is an introduction to kinks and domain walls and their principal classical and quantum properties. The book examines classical solitons, building from examples in elementary systems to more complicated settings. The formation of solitons in phase transitions, their dynamics and their cosmological consequences are further discussed. The volume concludes with an explicit description of a few laboratory systems containing solitons. This text will be of interest to both graduate students and academic researchers in theoretical physics, particle physics, cosmology and condensed matter physics. This book has been reissued as an Open Access publication on Cambridge Core.

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Contents

Frontmatter
pp i-iv
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Dedication
pp v-vi
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Contents
pp vii-x
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Preface
pp xi-xiv
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1 - Classical kinks
pp 1-19
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2 - Field parameters
pp 20-34
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3 - Interactions
pp 35-49
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4 - Kinks in quantum field theory
pp 50-72
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5 - Condensates and zero modes on kinks
pp 73-89
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6 - Formation of kinks
pp 90-112
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7 - Dynamics of domain walls
pp 113-127
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8 - Gravity and cosmology of domain walls
pp 128-146
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9 - Kinks in the laboratory
pp 147-153
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Appendix A - Units, numbers and conventions
pp 154-154
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Appendix B - SU(N) generators
pp 155-156
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Appendix C - Solution to a common differential equation
pp 157-158
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Appendix D - Useful operator identities
pp 159-161
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Appendix E - Variation of the determinant
pp 162-162
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Appendix F - Summary of cosmological equations
pp 163-164
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References
pp 165-173
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Index
pp 174-176
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Kinks and Domain Walls

An Introduction to Classical and Quantum Solitons

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Contents

Frontmatter
pp i-iv

Dedication
pp v-vi

Contents
pp vii-x

Preface
pp xi-xiv

1 - Classical kinks
pp 1-19

2 - Field parameters
pp 20-34

3 - Interactions
pp 35-49

4 - Kinks in quantum field theory
pp 50-72

5 - Condensates and zero modes on kinks
pp 73-89

6 - Formation of kinks
pp 90-112

7 - Dynamics of domain walls
pp 113-127

8 - Gravity and cosmology of domain walls
pp 128-146

9 - Kinks in the laboratory
pp 147-153

Appendix A - Units, numbers and conventions
pp 154-154

Appendix B - SU(N) generators
pp 155-156

Appendix C - Solution to a common differential equation
pp 157-158

Appendix D - Useful operator identities
pp 159-161

Appendix E - Variation of the determinant
pp 162-162

Appendix F - Summary of cosmological equations
pp 163-164

References
pp 165-173

Index
pp 174-176

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Kinks and Domain Walls

An Introduction to Classical and Quantum Solitons

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