Symmetries and phase structure of the layered sine-Gordon model
نویسندگان
چکیده
منابع مشابه
Symmetries and Phase Structure of the Layered Sine-Gordon Model
Abstract. The phase structure of the layered sine-Gordon (LSG) model is investigated in terms of symmetry considerations by means of a differential renormalization group (RG) method, within the local potential approximation. The RG analysis of the general N -layer model provides us with the possibility to consider the dependence of the vortex dynamics on the number of layers. The Lagrangians ar...
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As I briefly review, the sine-Gordon model may be obtained by dimensional and algebraic reduction from 2+2 dimensional self-dual U(2) Yang-Mills through a 2+1 dimensional integrable U(2) sigma model. I argue that the noncommutative (Moyal) deformation of this procedure should relax the algebraic reduction from U(2) → U(1) to U(2) → U(1)×U(1). The result are novel noncommutative sine-Gordon equa...
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Acknowledgments We acknowledge useful discussions with B. b 2 Figure 5: Coeecient of the log 2 (b 2) versus the temperature for diierent values of the parameter from a two parameter t. The same symbols as in gure 3. 4 Conclusions This comprehensive study reveals clear signals of a transition both in the static and dynamic properties of the system. The transition seems to occur at the same tempe...
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At large distances and in the low temperature phase, the quenched correlation functions in the 2d random phase sine-Gordon model have been argued to be of the form : [ϕ(x) − ϕ(0)] 2 * = A(log |x|) + Bǫ 2 (log |x|) 2 , with ǫ = (T − T c). However, renormalization group computations predict B = 0 while variational approaches (which are supposed to be exact for models with a large number of compon...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2006
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/25/s22