An asymptotic formula for marginal running coupling constants and universality of loglog corrections

Details An asymptotic formula for marginal running coupling constants and universality of loglog corrections An asymptotic formula for marginal running coupling constants and universality of loglog corrections

2004-05-20

arxiv.org/abs/cond-mat/0405466v2

Physics

Condensed Matter

Statistical Mechanics

16 pages; typos fixed, one appendix removed for quick access to the main result; to be published in J. Phys. A

Scientific paper

10.1088/0305-4470/37/45/007

Given a two-loop beta function for multiple marginal coupling constants, we
derive an asymptotic formula for the running coupling constants driven to an
infrared fixed point. It can play an important role in universal loglog
corrections to physical quantities.

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