6533b85ffe1ef96bd12c24cb

RESEARCH PRODUCT

Monte Carlo estimation of transverse and longitudinal correlation functions in the model

Roderick MelnikJ. RimšānsJevgenijs Kaupužs

subject

CorrelationPhysicsTransverse planeCorrelation function (statistical mechanics)Condensed matter physicsQuantum Monte CarloQuantum electrodynamicsMonte Carlo methodPhase (waves)General Physics and AstronomyMonte carlo estimationScaling

description

Abstract Monte Carlo simulations of the three-dimensional O ( 4 ) model in the ordered phase are performed to study the Goldstone mode effects. Our data show a distinct scaling region, where the Fourier-transformed transverse correlation function behaves as ∝ k − λ ⊥ with λ ⊥ 2 ( λ ≃ 1.95 ), in disagreement with the standard theoretical prediction λ ⊥ = 2 .

https://doi.org/10.1016/j.physleta.2010.03.002