Ebook: The Skyrme Model: Fundamentals Methods Applications

The December 1988 issue of the International Journal of Modern Physics A is dedicated to the memory of Tony Hilton Royle Skyrme. It contains an informative account of his life by Dalitz and Aitchison's reconstruction of a talk by Skyrme on the origin of the Skyrme model. From these pages, we learn that Tony Skyrme was born in England in December 1922. He grew up in that country during a period of increasing economic and political turbulence in Europe and elsewhere. In 1943, after Cambridge, he joined the British war effort in making the atomic bomb. He was associated with military projects throughout the war years and began his career as an academic theoretical physicist only in 1946. During 1946-61, he was associated with Cambridge, Birmingham and Harwell and was engaged in wide-ranging investigations in nuclear physics. It was this research which eventually culminated in his studies of nonlinear field theories and his remarkable proposals for the description of the nucleon as a chiral soliton. In his talk, Skyrme described the reasons behind his extraordinary sug­ gestions, which when first made must have seemed bizarre. According to him, ideas of this sort go back many decades and occur in the work of Sir William Thomson, who later became Lord Kelvin. Skyrme had heard of Kelvin in his youth.

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This reference book on the Skyrme model of hadron matter aims at presenting to researchers and advanced undergraduate students the current state of the art of this simplest description of hadron structure and interactions. Having traced the evolution of the model from Skyrme's ideas as given in his pioneering papers, the book gives a thorough overview of relevant problems that can serve as an introduction for researchers who are new to this field. Furthermore, multidimensional nonlinear models are discussed, such as the generalization of Hobart-Derrick's theorem. A set of appendices with technical derivations and a list of references complete the book.

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This reference book on the Skyrme model of hadron matter aims at presenting to researchers and advanced undergraduate students the current state of the art of this simplest description of hadron structure and interactions. Having traced the evolution of the model from Skyrme's ideas as given in his pioneering papers, the book gives a thorough overview of relevant problems that can serve as an introduction for researchers who are new to this field. Furthermore, multidimensional nonlinear models are discussed, such as the generalization of Hobart-Derrick's theorem. A set of appendices with technical derivations and a list of references complete the book.
Content:
Front Matter....Pages I-XVIII
Introduction....Pages 1-8
Front Matter....Pages 9-9
The Evolution of Skyrme’s Approach....Pages 11-29
Elements of Field Theory with Topological Charges....Pages 30-48
Topological Stability....Pages 49-64
Front Matter....Pages 65-65
The Principle of Symmetric Criticality....Pages 67-79
Absolute Minimum of the Energy Functional....Pages 80-88
The Existence of Skyrmions....Pages 89-98
Multi-Baryon and Rotating Skyrmion States....Pages 99-112
Quantization of Skyrmions....Pages 113-123
Front Matter....Pages 125-125
The Skyrme Model and QCD....Pages 127-146
Skyrmion as a Fermion....Pages 147-163
Quantized SU(3)Skyrmions and Their Interactions....Pages 164-191
Concluding Remarks....Pages 192-193
Front Matter....Pages 195-195
Chiral Symmetry....Pages 197-203
A Concise Account of Algebraic Topology....Pages 204-228
Methods of Reductions....Pages 229-233
Proofs of Stability and Existence Theorems....Pages 234-238
Finkelstein-Williams’ Spinor Structures....Pages 239-241
Back Matter....Pages 243-267

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This reference book on the Skyrme model of hadron matter aims at presenting to researchers and advanced undergraduate students the current state of the art of this simplest description of hadron structure and interactions. Having traced the evolution of the model from Skyrme's ideas as given in his pioneering papers, the book gives a thorough overview of relevant problems that can serve as an introduction for researchers who are new to this field. Furthermore, multidimensional nonlinear models are discussed, such as the generalization of Hobart-Derrick's theorem. A set of appendices with technical derivations and a list of references complete the book.
Content:
Front Matter....Pages I-XVIII
Introduction....Pages 1-8
Front Matter....Pages 9-9
The Evolution of Skyrme’s Approach....Pages 11-29
Elements of Field Theory with Topological Charges....Pages 30-48
Topological Stability....Pages 49-64
Front Matter....Pages 65-65
The Principle of Symmetric Criticality....Pages 67-79
Absolute Minimum of the Energy Functional....Pages 80-88
The Existence of Skyrmions....Pages 89-98
Multi-Baryon and Rotating Skyrmion States....Pages 99-112
Quantization of Skyrmions....Pages 113-123
Front Matter....Pages 125-125
The Skyrme Model and QCD....Pages 127-146
Skyrmion as a Fermion....Pages 147-163
Quantized SU(3)Skyrmions and Their Interactions....Pages 164-191
Concluding Remarks....Pages 192-193
Front Matter....Pages 195-195
Chiral Symmetry....Pages 197-203
A Concise Account of Algebraic Topology....Pages 204-228
Methods of Reductions....Pages 229-233
Proofs of Stability and Existence Theorems....Pages 234-238
Finkelstein-Williams’ Spinor Structures....Pages 239-241
Back Matter....Pages 243-267
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