18
GAUGE FIELDS AND STRINGS
(Here F is an amplitude for the scattering of /4^-quanta and fc is a
characteristic wavelength.) Therefore, even for large jS the true infrared
behaviour has nothing to do with the naive continuum limit. In fact we
shall give arguments that the theory has a mass gap and a rather
peculiar spectrum for large jS. Investigation of this limit is in fact a
central problem of the theory of strong interactions. This is because the
theory (1.56) reaches its continuum limit at jS oo only, and there are
numerous pieces of evidence that this continuum limit for G = SU(3)
describes the world of strong interactions. Most of our efforts in the
next chapters will be devoted to this problem.
Here it remains to say that for ^ = 3 the theory has similar
properties, namely no phase transition for any jS and a massive phase at
jS->oo. For^>4we have first order transitions.
We shall pass now to a more systematic study of some of the
properties listed above.
GAUGE FIELDS AND STRINGS
(Here F is an amplitude for the scattering of /4^-quanta and fc is a
characteristic wavelength.) Therefore, even for large jS the true infrared
behaviour has nothing to do with the naive continuum limit. In fact we
shall give arguments that the theory has a mass gap and a rather
peculiar spectrum for large jS. Investigation of this limit is in fact a
central problem of the theory of strong interactions. This is because the
theory (1.56) reaches its continuum limit at jS oo only, and there are
numerous pieces of evidence that this continuum limit for G = SU(3)
describes the world of strong interactions. Most of our efforts in the
next chapters will be devoted to this problem.
Here it remains to say that for ^ = 3 the theory has similar
properties, namely no phase transition for any jS and a massive phase at
jS->oo. For^>4we have first order transitions.
We shall pass now to a more systematic study of some of the
properties listed above.