"The idea that in some sense the ordinary proton and neutron might be solitons in a non-linear sigma model has a long history. The first suggestion was made by Skyrme more than twenty years ago ... David Finkelstein and Rubinstein showed that such objects could in principle be fermions ... in a paper that probably represented the first use of what would now be θ vacua in quantum field theory. A gauge invariant version was attempted by Faddeev ... Some relevant miracles are known to occur in two space-time dimensions ... ; there also exists a different mechanism by which solitons can be fermions ..."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
Edward Witten, (quote from p. 433)
https://en.wikiquote.org/wiki/Soliton
Revision History
No revisions have been submitted for this quote.
Categories
Soliton
4 quotes on TrueQuotesView all quotes by Soliton →
Related Quotes
"...attributes may be maintained because of deformations in fields. Such conservation laws are called topological. Thu…"
"A method is proposed to calculate quantum numbers on solitons in quantum field theory. The method is checked on previ…"
"While J. Scott Russell first observed solitons in water waves in Augst 1834, a full-fledged theory of solitons has on…"
"The process of reasoning called "Mathematical Induction" has had several independent origins. It has been traced back…"
"The method represents a best approximation algorithm of minimal length that, owing to several minimization properties…"
"This method is supreme above all praise; it is certainly the finest thing accomplished in number theory before Lagrange."
"Multiply the arc by the square of the arc, and take the result of repeating that [any number of times]. Divide [each …"
"This is as I have said in my Arithmetic:—The area of a circle is equal to the product of the circumference by one-fou…"
"A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains fixed.The ax…"
"Having fixed a pole, on a level piece of ground, and having described a circle by a cord attached to the pole, one sh…"