Analytical asymptotics of β-function in φ^4 theory (end of the "zero charge" story)

Details Analytical asymptotics of β-function in φ^4 theory (end of the "zero charge" story) Analytical asymptotics of β-function in φ^4 theory (end of the "zero charge" story)

2008-04-02

arxiv.org/abs/0804.0368v4

Physics

High Energy Physics

High Energy Physics - Phenomenology

Latex, 16 pages, 2 figures included

Scientific paper

Reconstruction of the \beta-function for \phi^4 theory, attempted previously by summation of perturbation series, leads to asymptotics \beta(g)=\beta_\infty g^\alpha at g\to\infty, where \alpha\approx 1 for space dimensions d=2,3,4. The natural hypothesis arises, that asymptotic behavior is \beta(g) \sim g for all d. Consideration of the zero-dimensional case confirms the hypothesis and reveals the origin of this result: it is related with a zero of a certain functional integral. Consideration can be generalized to the arbitrary space dimensionality, confirming the linear asymptotics of \beta(g) for all d. Asymptotical behavior for other renormalization group functions (anomalous dimensions) is found to be constant. Relation to the "zero charge" problem is discussed.

Affiliated with

Also associated with

No associations

Rating

Analytical asymptotics of β-function in φ^4 theory (end of the "zero charge" story) 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 Analytical asymptotics of β-function in φ^4 theory (end of the "zero charge" story), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical asymptotics of β-function in φ^4 theory (end of the "zero charge" story) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-389954