Additive renormalization of the specific heat of O(n) symmetric systems\n in three-loop order

1997/10/29 by Stuart S. C. Burnett, Burnett, Stuart S. C.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.48550/arxiv.cond-mat/9710314

9 pages RevTeX, 1 figure

arxiv created 1997/10/29 · openalex publication_date 1997/10/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present three-loop formulas for the additive renormalization constant\nA(u,epsilon) and associated renormalization group function B(u) for the\nspecific heat of the O(n) symmetric phi⁴ model. Using this result, we obtain\nalso the amplitude function above Tc within the minimally renormalied theory at\nfixed d=3. At the fixed point, the three-loop correction to B(u) turns out to\nbe small (about 3% for n=2). We note that a correction of this size may become\nimportant at the level of accuracy expected in future experiments.\n

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