Comment on "Fixed-Point Structure of Scalar Fields"
Comment on "Fixed-Point Structure of Scalar Fields"
复制标题
评《标量场的定点结构》
DOI：
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发表时间：
1996
影响因子：
8.6
通讯作者：
T. Morris
中科院分区：
文献类型：
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作者：
T. Morris
在最近的一封信中（K.Halpern和K.Huang，Phys. Rev. Lett. 74（1995）3526），揭示了Wilson重整化群的局域势近似（LPA）的某些性质，这使作者得出结论：赋予{sl非多项式}相互作用的$D>2$维标量场理论允许重整化群不动点的连续性，并且在高斯不动点周围存在渐近自由相互作用。如果这是真的，这可能预示着非常重要的新物理学，特别是对于标准模型的希格斯部分。支持这些想法的持续工作促使我们指出，我们以前研究过相同的性质，并表明它们会导致非常不同的结论。事实上，尽管hep-th/9406199中的陈述是正确的，但它们指出了关于LPA及其概括的一些深刻而美丽的事实，但没有新的物理学。
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.