WebMay 9, 2016 · However Derrick's No-Go theorem says that in 3 + 1 -dim there is no stable soliton in real scalar field. Therefore my question is what is a particle's classical counterpart in a field theory? If it is a wavepacket, … Derrick's theorem is an argument by physicist G. H. Derrick which shows that stationary localized solutions to a nonlinear wave equation or nonlinear Klein–Gordon equation in spatial dimensions three and higher are unstable. See more Derrick's paper, which was considered an obstacle to interpreting soliton-like solutions as particles, contained the following physical argument about non-existence of stable localized stationary solutions to … See more Derrick describes some possible ways out of this difficulty, including the conjecture that Elementary particles might correspond to stable, localized solutions which are periodic in time, rather than time-independent. Indeed, it was later shown that a time … See more We may write the equation $${\displaystyle \partial _{t}^{2}u=\nabla ^{2}u-{\frac {1}{2}}f'(u)}$$ in the Hamiltonian form See more A stronger statement, linear (or exponential) instability of localized stationary solutions to the nonlinear wave equation (in any spatial dimension) is proved by P. … See more • Orbital stability • Pokhozhaev's identity • Vakhitov–Kolokolov stability criterion See more
From the viewpoint of field theory and Derrick
WebDerrick's theorem is an argument by physicist G.H. Derrick which shows that stationary localized solutions to a nonlinear wave equation or nonlinear Klein–Gordon … WebNew integral identities satisfied by topological solitons in a range of classical field theories are presented. They are derived by considering independent length rescalings in orthogonal directions, or equivalently, f… phoenix relays 2966171
Derrick Definition, Meaning & Usage FineDictionary.com
WebThe motions of the derrick are a direct lift, a circular motion round the axis of the post, and a radial motion within the circle described by the point of the boom. On shipboard a derrick is a spar raised on end, with the head steadied by guys and the heel by lashings, and having one or more purchases depending from it to raise heavy weights. WebJun 3, 2013 · These objects have to obey Derrick’s theorem , which says that in bulk three-dimensional fields, the configuration can always lower its energy by shrinking. The object generated in Chen et al.’s experiment somehow circumvents this theorem: Once created, the Hopf fibration is stable and doesn’t change size. One possibility is that the ... WebMay 9, 2016 · This is Haag's theorem. Whenever you hear people talking about "particles", they mean state of the theory in the asymptotic future/past where the interaction is turned off and we have a notion of particle … how do you freeze fresh celery