1998/04/07 by Chigak Itoi, Itoi, Chigak
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.48550/arxiv.cond-mat/9804075
12 pages latex, several mistakes (especially in the beta function in section 2) have been corrected
openalex publication_date 1998/04/07 · arxiv created 1998/05/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Employing a simple calculation method obtained by M.-H. Kato, we calculate the three loop renormalization group in the su(2) coset conformal field theory with a slightly relevant perturbation and the su(2) Wess-Zumino-Witten model with a particular invariant marginal perturbation. Zamolodchikov's c-theorem, exact data of the perturbation operator and a known exact form of the operator product coefficient enable us to calculate the beta function, the gamma function and the c-function to three loop order. This result gives the logarithmic finite size correction to the ground state energy and the low temperature behavior of the specific heat in the Heisenberg antiferromagnetic chain with high accuracy. We describe the consistency with results obtained by several authors on the basis of its exact solvability. We discuss an experiment of the specific heat and the suceptibility recently observed.