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The N-component Ginzburg-Landau Hamiltonian with cubic anisotropy: a six-loop study
J. M. Carmona, A. Pelissetto, E. Vicari
We consider the Ginzburg-Landau Hamiltonian with a cubic-symmetric quartic interaction and compute the renormalization-group functions to six-loop order in d=3. We analyze the stab…
Bilocal Dynamics for Self-Avoiding Walks
Sergio Caracciolo, Maria Serena Causo, Giovanni Ferraro +2
We introduce several bilocal algorithms for lattice self-avoiding walks that provide reasonable models for the physical kinetics of polymers in the absence of hydrodynamic effects.…
The effective potential of N-vector models: a field-theoretic study to O(ε^3)
A. Pelissetto, E. Vicari
We study the effective potential of three-dimensional O() models. In statistical physics the effective potential represents the free-energy density as a function of the order pa…
End-to-end distribution function for dilute polymers
Sergio Caracciolo, Maria Serena Causo, Andrea Pelissetto
We study the end-to-end distribution function for dilute polymers. We present a computation to order , , and discuss in detail its asymptotic behaviour for small…
Composite operators from the operator product expansion: what can go wrong?
Sergio Caracciolo, Andrea Montanari, Andrea Pelissetto
The operator product expansion is used to compute the matrix elements of composite renormalized operators on the lattice. We study the product of two fundamental fields in the two-…
Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
Massimo Campostrini, Andrea Pelissetto, Paolo Rossi +1
High-temperature series are computed for a generalized Ising model with arbitrary potential. Two specific ``improved'' potentials (suppressing leading scaling corrections) are…
High-precision determination of the critical exponents for the lambda-transition of 4He by improved high-temperature expansion
Massimo Campostrini, Andrea Pelissetto, Paolo Rossi +1
We determine the critical exponents for the XY universality class in three dimensions, which is expected to describe the -transition in He. They are obtained from the anal…
Mean-field expansion for spin models with medium-range interactions
A. Pelissetto, P. Rossi, E. Vicari
We study the critical crossover between the Gaussian and the Wilson-Fisher fixed point for general O(N)-invariant spin models with medium-range interactions. We perform a systemati…