Physics – Mathematical Physics
Scientific paper
2011-02-22
Physics
Mathematical Physics
Latex, 15 pages
Scientific paper
According to recent results, the Gell-Mann - Low function \beta(g) of four-dimensional \phi^4 theory is non-alternating and has a linear asymptotics at infinity. According to the Bogoliubov and Shirkov classification, it means possibility to construct the continuous theory with finite interaction at large distances. This conclusion is in visible contradiction with the lattice results indicating triviality of \phi^4 theory. This contradiction is resolved by a special character of renormalizability in \phi^4 theory: to obtain the continuous renormalized theory, there is no need to eliminate a lattice from the bare theory. In fact, such kind of renormalizability is not accidental and can be understood in the framework of Wilson's many-parameter renormalization group. Application of these ideas to QCD shows that Wilson's theory of confinement is not purely illustrative, but has a direct relation to a real situation. As a result, the problem of analytical proof of confinement and a mass gap can be considered as solved, at least on the physical level of rigor.
No associations
LandOfFree
Triviality, Renormalizability and Confinement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Triviality, Renormalizability and Confinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Triviality, Renormalizability and Confinement will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-559569