Uniaxial Lifshitz Point at O(ε_L²)

2000/06/29 by Luiz C. de Albuquerque, de Albuquerque, Luiz C., Marcelo M. Leite +1 · 1 citation
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #cond-mat #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/0006462

18 pages, Revtex, updated version with four figures, some references added

openalex publication_date 2000/06/29 · arxiv created 2001/12/13 · arxiv updated 2009/11/30 · openalex created_date 2022/09/30 · openalex updated_date 2026/07/28

Abstract

The critical exponents ν_L2, η_L2 and γ_L2 of a uniaxial Lifshitz point are calculated at two-loop level using renormalization group and ε_L-expansion techniques. We found a new constraint involving the loop momenta along the competition axis, which allows to solve the two-loop integrals. The exponent γ_L2 obtained using our method is in good agreement with numerical estimates based on Monte Carlo simulations.

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