Exact Correlation Function at the Lifshitz Points of the Spherical Model

Abstract

The spin-spin correlation function of the spherical model being precisely at an anisotropic Lifshitz point of arbitrary order is calculated exactly. The results are in agreement with scaling. The scaling function is shown to be universal. The direction-dependent long-range correlations may change from ferromagnetic to antiferromagnetic behaviour and back as the dimension is varied. The form of the scaling function is compared to predictions following from local scale invariance for strongly anisotropic critical systems.

Latex 23 pages, (2 figures not included) -- a Latex bug was fixed for v2

References in corpus (1)

• On the Two-Point Correlation Function in Dynamical Scaling and SCHRÖdinger Invariance

Cited by in corpus (18)

• SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
• Phenomenology of local scale invariance: from conformal invariance to dynamical scaling
• Local scale invariance and strongly anisotropic equilibrium critical systems
• Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter
• Two-loop renormalization-group analysis of critical behavior at m-axial Lifshitz points
• Anisotropic scaling and generalized conformal invariance at Lifshitz points
• Anisotropic Long-Range Spin Systems
• Quantum spherical model with competing interactions
• Quantum phase transition in the spin-anisotropic quantum spherical model
• Large-n expansion for m-axial Lifshitz points
• Critical behavior of generic competing systems
• Relevance of space anisotropy in the critical behavior of m-axial Lifshitz points
• Bulk and Boundary Critical Behavior at Lifshitz Points
• Lifshitz-point correlation length exponents from the large-n expansion
• Periodic vacuum and particles in two dimensions
• Thermodynamics of a finite system of classical particles with short and long range interactions and nuclear fragmentation
• Supersymmetric Quantum Spherical Spins with Short-Range Interactions
• Supersymmetric Quantum Spherical Spins