Renormalization group for renormalization-group equations toward the universality classification of infinite-order phase transitions

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 60, Issue 4, 1999, Pages 3688-3700

  Itoi, Chigak ^a   Mukaida, Hisamitsu ^b  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b SAITAMA MEDICAL UNIVERSITY   (Japan)

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ARTICLE;

EID: 0000094850     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.3688     Document Type: Article

References (25)

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25. In fact, there exists a component of (Formula presented) that does not vanish at the turning point, say, (Formula presented). We parametrize the flow of our RGE by (Formula presented) instead of (Formula presented) near the turning point and change the integration variable in Eq. (25). The measure changes as(Formula presented)from Eq. (10). The denominator of the right-hand side does not vanish near the turning point. Therefore, the denominators in the integrand in Eq. (25) does not contribute to the divergence of (Formula presented) and can be replaced by a certain constant when we evaluate the leading divergence of the integration in Eq. (25).