The Skyrme Model

1. Front Matter

   Pages I-XVIII

   PDF

2. Introduction

   1. Introduction

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 1-8

3. Fundamentals

   1. Front Matter

      Pages 9-9

      PDF

   2. The Evolution of Skyrme’s Approach

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 11-29

   3. Elements of Field Theory with Topological Charges

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 30-48

   4. Topological Stability

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 49-64

4. Methods for the Study of Skyrmions

   1. Front Matter

      Pages 65-65

      PDF

   2. The Principle of Symmetric Criticality

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 67-79

   3. Absolute Minimum of the Energy Functional

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 80-88

   4. The Existence of Skyrmions

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 89-98

   5. Multi-Baryon and Rotating Skyrmion States

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 99-112

   6. Quantization of Skyrmions

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 113-123

5. Hadron Physics Applications

   1. Front Matter

      Pages 125-125

      PDF

   2. The Skyrme Model and QCD

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 127-146

   3. Skyrmion as a Fermion

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 147-163

   4. Quantized SU(3)Skyrmions and Their Interactions

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 164-191

   5. Concluding Remarks

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 192-193

6. Appendices

   1. Front Matter

      Pages 195-195

      PDF

   2. Chiral Symmetry

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 197-203

   3. A Concise Account of Algebraic Topology

      • Vladmir G. Makhankov, Yurii P. Rybakov, Valerii I. Sanyuk

      Pages 204-228

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.

• Baryon
• Boson
• Meson
• Particle Physics
• condensed matter physics
• evolution
• hadron
• high energy physics
• mathematical physics
• nuclear physics
• paper
• skyrmion
• structure

• Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia

  Vladmir G. Makhankov

• People’s Friendship University, GSP Moscow, Russia

  Yurii P. Rybakov, Valerii I. Sanyuk

Policies and ethics