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High-precision estimates of critical quantities by means of improved Hamiltonians
M. Campostrini, M. Hasenbusch, A. Pelissetto +2
Three-dimensional spin models of the Ising and XY universality classes are studied by a combination of high-temperature expansions and Monte Carlo simulations applied to improved H…
Critical Phenomena and Renormalization-Group Theory
Andrea Pelissetto, Ettore Vicari
We review results concerning the critical behavior of spin systems at equilibrium. We consider the Ising and the general O()-symmetric universality classes, including the $N\to…
Finite-Size Correlation Length and Violations of Finite-Size Scaling
Sergio Caracciolo, Andrea Gambassi, Massimiliano Gubinelli +1
We address the problem of the definition of the finite-volume correlation length. First, we study the large-N limit of the N-vector model, and we show the existence of several cons…
Nonanalyticity of the beta-function and systematic errors in field-theoretic calculations of critical quantities
M. Caselle, A. Pelissetto, E. Vicari
We consider the fixed-dimension perturbative expansion. We discuss the nonanalyticity of the renormalization-group functions at the fixed point and its consequences for the numeric…
Critical exponents and equation of state of three-dimensional spin models
M. Campostrini, M. Hasenbusch, A. Pelissetto +2
Three-dimensional spin models of the Ising and XY universality classes are studied by a combination of high-temperature expansions and Monte Carlo simulations. Critical exponents a…
Critical behavior of the three-dimensional XY universality class
Massimo Campostrini, Martin Hasenbusch, Andrea Pelissetto +2
We improve the theoretical estimates of the critical exponents for the three-dimensional XY universality class. We find alpha=-0.0146(8), gamma=1.3177(5), nu=0.67155(27), eta=0.038…
Operator Product Expansion on the Lattice: a Numerical Test in the Two-Dimensional Non-Linear Sigma-Model
Sergio Caracciolo, Andrea Montanari, Andrea Pelissetto
We consider the short-distance behaviour of the product of the Noether O(N) currents in the lattice nonlinear sigma-model. We compare the numerical results with the predictions of…
The critical behavior of frustrated spin models with noncollinear order
Andrea Pelissetto, Paolo Rossi, Ettore Vicari
We study the critical behavior of frustrated spin models with noncollinear order, including stacked triangular antiferromagnets and helimagnets. For this purpose we compute the fie…
High-precision estimate of g4 in the 2D Ising model
Michele Caselle, Martin Hasenbusch, Andrea Pelissetto +1
We compute the renormalized four-point coupling in the 2d Ising model using transfer-matrix techniques. We greatly reduce the systematic uncertainties which usually affect this typ…
Randomly dilute spin models: a six-loop field-theoretic study
A. Pelissetto, E. Vicari
We consider the Ginzburg-Landau MN-model that describes M N-vector cubic models with O(M)-symmetric couplings. We compute the renormalization-group functions to six-loop order in d…
The critical equation of state of three-dimensional XY systems
Massimo Campostrini, Andrea Pelissetto, Paolo Rossi +1
We address the problem of determining the critical equation of state of three-dimensional XY systems. For this purpose we first consider the small-field expansion of the effective…