The modern formulation of the renormalization group is explained for both critical phenomena in classical statistical mechanics and quantum field theory. The expansion in ϵ = 4−d is explained [d is the dimension of space (statistical mechanics) or space-time (quantum field theory)]. The emp...
The renormalization group and the ??{lunate} expansionWilson, Kenneth GKogut, J
Renormalization-group theory of turbulence: A d-dimensional expansion The renormalization-group (RG) method applied to homogeneous and isotropic turbulence is built up as an expansion around the particular dimension where the energy cascade reverses. As usual, the expansion parameter is related to the...
The basic concepts and formulation of the renormalization group are explained beginning at an elementary level. Discussion is in the framework of classical statistical mechanics with emphasis on applications to the theory of critical phenomena. The details are worked out in the largenlimit for 2 <d...
Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture The Kadanoff theory of scaling near the critical point for an Ising ferromagnet is cast in differential form. The resulting differential equations are an e... Wilson,Kenneth G. - 《Physical ...
The Superkamiokande experiment suggests the large flavor mixing between nu_mu and nu_tau. We show that the mixing angle receives significant corrections from the renormalization group equation (RGE) when both the second and the third generation neutrino masses are larger than O(0.1eV). This means...
We formulate a method of performing non-perturbative calculations in quantum field theory, based upon a derivative expansion of the exact renormalization group. We then proceed to apply this method to the calculation of critical exponents for three dimensional O(N) symmetric theory. Finally we ...
universality class (redirected fromRenormalization group) Acronyms Wikipedia universality class [‚yü·nə·vər′sal·əd·ē ‚klas] (statistical mechanics) A class of substances which have the same critical exponents according to the universality hypothesis. ...
Explicitly solving the renormalization group equation (RGE) for an inflationary model, it is shown that the conventional procedure of using "running couplings" in the one-loop coefficient is quantitatively incorrect. It is also shown that the effects of scalar loops cannot be neglected, and the ...
Introduction to the Renormalization Group and to Critical Phenomena 作者:Pierre Pfeuty ISBN:9780471994404 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到 推荐 在哪儿借这本书· ··· 上海图书馆(1)