It is very hard to define particles with interactions. Given an electronic system with some degrees of freedom and photon system with some more degrees of freedom, the quantum evolution makes all exact single particle pictures vanish/invalid. For example removing an electron from an atom takes 5eV of energy, that energy consisted of huge amount of virtual photon interactions etc. It was not the energy of the electron only. Particles are just approximate tools to understand quantum fields anyway. That is why all the confusion in 'What is really photon?' question and all the confusion about particle-wave dualities and such. I believe Higgs is just a resonance of a field and always virtual since it is not observed directly. But nobody says that Higgs is not real (neither do I).
Particles propagating asymptiotially free are easier to define, since they no longer interact. Poles of their propagators are point like, giving well defined energy and momentum for example. The whole scattering theory is based on these asymptotic free particle states and whatever interactions may occur while scattering are called virtual.
Something being hard does not make it real/virtual I don't quite buy most of the arguments about virtual particles not being real. They follow the same equations of motion (they "are"/are described by the same propagator) , so what if they are not in their mass-shell. If something behaves quantum mechanically and has due to interactions lost its single particle picture, that does not make it less real than the special asymptoic solution of the particle in free space.
It is very hard to define particles with interactions. Given an electronic system with some degrees of freedom and photon system with some more degrees of freedom, the quantum evolution makes all exact single particle pictures vanish/invalid. For example removing an electron from an atom takes 5eV of energy, that energy consisted of huge amount of virtual photon interactions etc. It was not the energy of the electron only. Particles are just approximate tools to understand quantum fields anyway. That is why all the confusion in 'What is really photon?' question and all the confusion about particle-wave dualities and such. I believe Higgs is just a resonance of a field and always virtual since it is not observed directly. But nobody says that Higgs is not real (neither do I).
There is a nice quote from Pauli:
Of your demands for a future [. . . ] field theory, the demand: “A single particle should appear as a trivialvsolution of the basic equations” (of which I know that it has been your favorite demand for months) seems rather questionable, since a charged particle is nothing trivial. (Pauli to Heisenberg, 16 July 1934)
Particles propagating asymptiotially free are easier to define, since they no longer interact. Poles of their propagators are point like, giving well defined energy and momentum for example. The whole scattering theory is based on these asymptotic free particle states and whatever interactions may occur while scattering are called virtual.
Something being hard does not make it real/virtual I don't quite buy most of the arguments about virtual particles not being real. They follow the same equations of motion (they "are"/are described by the same propagator) , so what if they are not in their mass-shell. If something behaves quantum mechanically and has due to interactions lost its single particle picture, that does not make it less real than the special asymptoic solution of the particle in free space.