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 dime
We reformulate the renormalization group (RNG) and theɛ-expansion for derivation of turbulence models. The procedure is developed for the Navier-Stokes equations and the transport equations for the kinetic energyK and energy dissipation rate ℰ. The derivation draws on the works of Yakhot and...
The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function , the next-to-leading-log (NLL) contributions in terms of the two-loop RG function, ...
Sloppy Models, Renormalization Group Realism, and the Success… 653 Fig. 1 Left: eigenvalue spectra for 14 different systems biology models, collected by Gutenkunst et al. (2007). Right: eigenvalue spectra for models in a number of different fields (Brown et al., 2004a;...
Historically, most renormalization group studies have been performed for equilibrium systems. Here, I give a personal reflection on the unexpected outcome of studying non-equilibrium flocking using renormalization methods.
当当上海外文书店旗舰店在线销售正版《预订Renormalization:An Introduction to Renormalization, the Renormalization Group and the Operator-Pro》。最新《预订Renormalization:An Introduction to Renormalization, the Renormalization Group and the Operator-Pro》简
作者: G' Hooft 摘要: This section consists of an introduction by the author and the following reprint articles are included:THE RENORMALIZATION GROUP IN QUANTUM FIELD THEORY#THE RENORMALIZATION GROUP IN QUANTUM FIELD THEORY 关键词: Magnetic 被引量: 6 收藏...
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 ...
by defining an effective action that depends on a scale parameter∧. The differential equation obtained by applying∂/∂∧to the functional integral for the effective action is the renormalization group (RG) equation. The graphical expansion derived in Chap. 2 provides an explicit solution of th...