Equivalence of local potential approximations
In recent papers it has been noted that the local potential approximation of the Legendre and Wilson-Polchinski flow equations give, within numerical error, identical results for a range of exponents…
O(N)-invariant Hierarchical Renormalization Group Fixed Points by Algebraic Numerical Computation and \epsilon-Expansion
Generalizing methods developed by Pinn, Pordt and Wieczerkowski for the hierarchical model with one component (N=1) and dimensions d between 2 and 4 we compute O(N)-symmetric fixed points of the…
Fate of nonpolynomial interactions in scalar field theory
We present an exact RG (renormalization group) analysis of O(N)-invariant scalar eld theory about the Gaussian xed point. We prove a series of statements that taken together show that the…
The local potential approximation in quantum gravity
A bstractWithin the context of the functional renormalization group flow of gravity, we suggest that a generic f (R) ansatz (i.e. not truncated to any specific form, polynomial or not) for the…
Why Might the Standard Large N Analysis Fail in the O(N) Model: The Role of Cusps in Fixed Point Potentials.
- Physics, MathematicsPhysical review letters
This work shows on the example of the O(N) model that at N=∞ its standard implementation misses some fixed points of the renormalization group in all dimensions smaller than four, and shows that the mechanism at play holds also for the O (N)⊗O(2) model and is thus probably generic.
Solutions of the Polchinski Erg Equation in the O(n) Scalar Model
Solutions of the Polchinski exact renormalization group equation in the scalar O(N) theory are studied. Families of regular solutions are found and their relation with fixed points of the theory is…
Antisymmetric and other subleading corrections to scaling in the local potential approximation
Polchinski ERG Equation in O(N) Scalar Field Theory
We investigate the Polchinski ERG equation for d-dimensional O(N) scalar field theory. In the context of the non-perturbative derivative expansion we find families of regular solutions and establish…
SHOWING 1-10 OF 71 REFERENCES
The Effectiveness of the Local Potential Approximation in the Wegner-Houghton Renormalization Group.
are calculated in order to investigate the effectiveness of the local potential approximation by comparing them with other non-perturbative methods. We show analytically that the local potential…
The Exact renormalization group and approximate solutions
We investigate the structure of Polchinski’s formulation of the flow equations for the continuum Wilson effective action. Reinterpretations in terms of I.R. cutoff Green’s functions are given. A…
Critical exponents of a three-dimensional O(4) spin model.
- PhysicsPhysical review. D, Particles and fields
By Monte Carlo simulation we study the critical exponents governing the transition of the three-dimensional classical O(4) Heisenberg model, which is considered to be in the same universality class…