Yuri M Pis'mak et al 2009 J. Phys. A: Math. Theor. 42 095003 doi:10.1088/1751-8113/42/9/095003
Critical behavior of a general O(n)-symmetric model of two n-vector fields in D = 4 − 2
Yuri M Pis'mak1, Alexej Weber2 and Franz J Wegner2
Show affiliationsThe critical behavior of the O(n)-symmetric model with two n-vector fields is studied within the field-theoretical renormalization group approach in a D = 4 − 2 expansion. Depending on the coupling constants, the β-functions, fixed points and critical exponents are calculated up to the one- and two-loop order, respectively (η in two- and three-loop order). Both continuous lines of fixed points and 
invariant discrete solutions were found. Apart from already known fixed points two new ones arise. One agrees in one-loop order with a known fixed point, but differs from it in two-loop order.
- PACS
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05.10.Cc Renormalization group methods
75.10.Jm Quantized spin models
75.40.-s Critical-point effects, specific heats, short-range order
- MSC
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82B26 Phase transitions (general)
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
- Subjects
- Dates
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Issue 9 (6 March 2009)
Received 2 October 2008, in final form 2 January 2009
Published 4 February 2009
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Critical behavior of a general O(n)-symmetric model of two n-vector fields in D = 4 − 2
Yuri M Pis'mak et al 2009 J. Phys. A: Math. Theor. 42 095003
-
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