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Volumn 66, Issue 18, 2002, Pages 1804031-1804034

Chiral phase transitions: Focus driven critical behavior in systems with planar and vector ordering

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; CHIRALITY; COMPUTER ANALYSIS; MAGNETISM; MOLECULAR MODEL; PHASE TRANSITION; PHYSICS;

EID: 0036871407     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (67)

References (40)
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    • Big values of the imaginary parts found not only for three- dimensional, but also for two-dimensional systems make us sure that this result is not an artifact of the perturbative analysis and an account for nonanalytic contributions, clearly visible in two dimensions (Ref. 25), will not kill it. See P. Calabrese, M. Caselle, A. Celi, A. Pelissetto, and E. Vicari, J. Phys. A 33, 8155 (2000) and references therein for an explanation of the effects of nonanalyticities in the O(N) models.
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    • note
    • We adopt here different rescalings for the four-point renormalized couplings in two and three dimensions; they coincide with those used in Refs. 10 and 6, respectively. Due to this difference, the shaded areas turns out to depend on the space dimensionality D. In these pictures the mean-field domain of first-order phase transitions are exactly two times larger than the shaded areas (z >2 in the symmetric normalization of Ref. 10). Note that saying "the domain of the first-order phase transitions" we mean, as usually, the region where the quartic form in free energy expansion can acquire negative values. In fact, because of the presence of the higher-order terms in this expansion that make the system globally stable at any temperature, the true domains of the first-order transitions may be substantially more narrow than those predicted by the mean-field approximation.


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