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quantum_field_theory:notions_solitons [2017/12/06 09:33]
127.0.0.1 external edit
quantum_field_theory:notions_solitons [2018/03/12 15:56] (current)
jakobadmin
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 A sphaleron is a maximum of the energy functional in the direction of changing winding number, and a minimum in the orthogonal direction. Thus it is a saddle point. (page 336 in An introduction to gauge theories and modern particle physics by E. Leader and E. Predazzi.) A sphaleron is a maximum of the energy functional in the direction of changing winding number, and a minimum in the orthogonal direction. Thus it is a saddle point. (page 336 in An introduction to gauge theories and modern particle physics by E. Leader and E. Predazzi.)
  
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-[instanton] is much like a topological soliton in field theory, except that it is localized in time rather than in space+ 
 +<​blockquote>​ 
 +[An instanton] is much like a topological soliton in field theory, except that it is localized in time rather than in space
  
 <​cite>​http://​www.weizmann.ac.il/​particle/​perez/​Courses/​QMII16/​TA4.pdf</​cite>​ <​cite>​http://​www.weizmann.ac.il/​particle/​perez/​Courses/​QMII16/​TA4.pdf</​cite>​
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-Before suggesting why [[http://​ieeexplore.ieee.org/​stamp/​stamp.jsp?​arnumber=1451226|the paper]] has been so often cited, it is appropriate to explain what the term soliton means. As coined by Zabusky and Kruskal, 1 this term is generic for special solitary wave solutions of certain nonlinear wave equations. What then is a solitary wave? It is a pulse-like wave that travels with constant speed and shape; the effects of dispersion on the wave shape are just balanced by those of nonlinearit y. There is just enough yin for the yang; it is a dynamically self-sufficient object, a ‘thing.’ “Solitons are solitary waves that preserve their speeds and shapes after+Before suggesting why [[http://​ieeexplore.ieee.org/​stamp/​stamp.jsp?​arnumber=1451226|the paper]] has been so often cited, it is appropriate to explain what the term soliton means. As coined by Zabusky and Kruskal, 1 this term is generic for special solitary wave solutions of certain nonlinear wave equations. What then is a solitary wave? It is a pulse-like wave that travels with constant speed and shape; the effects of dispersion on the wave shape are just balanced by those of nonlinearity. There is just enough yin for the yang; it is a dynamically self-sufficient object, a ‘thing.’ “Solitons are solitary waves that preserve their speeds and shapes after
 mutual collision. They play a role in the mutual collision. They play a role in the
 construction of complete solutions for construction of complete solutions for
quantum_field_theory/notions_solitons.txt · Last modified: 2018/03/12 15:56 by jakobadmin