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Determination of the exponent gamma for SAWs on the two-dimensional Manhattan lattice
Sergio Caracciolo, Maria Serena Causo, Peter Grassberger +1
We present a high-statistics Monte Carlo determination of the exponent gamma for self-avoiding walks on a Manhattan lattice in two dimensions. A conservative estimate is $γ\gtappro…
Testing the efficiency of different improvement programs
Sergio Caracciolo, Andrea Montanari, Andrea Pelissetto
We study the finite-size behaviour of a tree-level on-shell improved action for the N-vector model. We present numerical results for N=3 and analytic results in the large-N limit f…
Pseudo-Character Expansions for U(N)-Invariant Spin Models on CP^{N-1}
Attilio Cucchieri, Tereza Mendes, Andrea Pelissetto
We define a set of orthogonal functions on the complex projective space CP^{N-1}, and compute their Clebsch-Gordan coefficients as well as a large class of 6-j symbols. We also pro…
Crossover scaling from classical to non-classical critical behaviour
Sergio Caracciolo, Maria Serena Causo, Andrea Pelissetto +2
Interacting physical systems in the neighborhood of criticality (and massive continuum field theories) can often be characterized by just two physical scales: a (macroscopic) corre…
Operator product expansion and non-perturbative renormalization
Sergio Caracciolo, Andrea Montanari, Andrea Pelissetto
It has been recently proposed to use the operator product expansion to evaluate the expectation values of renormalized operators without the need of a direct computation of the rel…
Non-analyticity of the Callan-Symanzik beta-function of O(N) models
A. Pelissetto, E. Vicari
In the framework of the 1/N-expansion we show that the Callan-Symanzik beta- function associated with the four-point coupling g is non-analytic at its zero, i.e. at the fixed-point…
Low-temperature effective potential of the Ising model
A. Pelissetto, E. Vicari
We study the low-temperature effective potential of the Ising model. We evaluate the three-point and four-point zero-momentum renormalized coupling constants that parametrize the e…
Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N
Sergio Caracciolo, Andrea Pelissetto
We compute the corrections to finite-size scaling for the N-vector model on the square lattice in the large-N limit. We find that corrections behave as log L/L^2. For tree-level im…
Crossover scaling from classical to nonclassical critical behavior
A. Pelissetto, P. Rossi, E. Vicari
We study the crossover between classical and nonclassical critical behaviors. The critical crossover limit is driven by the Ginzburg number G. The corresponding scaling functions a…
Effective potential in three-dimensional O(N) models
A. Pelissetto, E. Vicari
We consider the effective potential in three-dimensional models with O(N) symmetry. For generic values of N, and in particular for the physically interesting cases N=0,1,2,3, we de…