WebDerrick's theorem is an argument due to a 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 . Contents 1 Original argument 2 Pohozaev's identity 3 Interpretation in the Hamiltonian form WebDerrick’s theorem. where the eigenvalues of G are all positive definite for any value of ϕ, and V = 0 at its minima. Any finite energy static solution of the field equations is a stationary …
Derrick’s Theorem, Bogomolnyi Bound, theAbelian-Higgs …
WebWe extend Derrick’s theorem to the case of a generic irrotational curved spacetime adopting a strategy similar to the original proof. We show that a static relativistic star made of real scalar fields is never possible regardless of the geometrical properties of the (static) spacetimes. The generalised theorem offers a tool that can be used to check the … WebMar 20, 2024 · A recent analysis by one of the authors [L. Perivolaropoulos, Gravitational interactions of finite thickness global topological defects with black holes, Phys. Rev. D 97, 124035 (2024).] has pointed out that Derrick's theorem can be evaded in curved space. Here we extend that analysis by demonstrating the existence of a static metastable … camo school bag
Pokhozhaev
WebSep 17, 2008 · New 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, from the conservation of the stress tensor. These identities are refinements of Derrick's theorem. WebDerrick’s theorem: one may rule out the existence of localized inhomoge-neous stable field configurations (solitons) by inspecting the Hamiltonian and making scaling … 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 … .php searchtext jsjcenergy