On the Fixed-Point Structure of Scalar Fields

Дата и время публикации : 1996-01-24T10:34:18Z

Авторы публикации и институты :
Tim R. Morris

Ссылка на журнал-издание: Phys.Rev.Lett. 77 (1996) 1658
Коментарии к cтатье: Typos corrected. A Comment – to be published in Phys. Rev. Lett. 1 page, 1 eps figure, uses LaTeX, RevTex and epsf
Первичная категория: hep-th

Все категории : hep-th, cond-mat, hep-lat, hep-ph

Краткий обзор статьи: In a recent Letter (K.Halpern and K.Huang, Phys. Rev. Lett. 74 (1995) 3526), certain properties of the Local Potential Approximation (LPA) to the Wilson renormalization group were uncovered, which led the authors to conclude that $D>2$ dimensional scalar field theories endowed with {sl non-polynomial} interactions allow for a continuum of renormalization group fixed points, and that around the Gaussian fixed point, asymptotically free interactions exist. If true, this could herald very important new physics, particularly for the Higgs sector of the Standard Model. Continuing work in support of these ideas, has motivated us to point out that we previously studied the same properties and showed that they lead to very different conclusions. Indeed, in as much as the statements in hep-th/9406199 are correct, they point to some deep and beautiful facts about the LPA and its generalisations, but however no new physics.

Category: Physics