Non-Amenability and Spontaneous Symmetry Breaking – The Hyperbolic Spin-Chain –
نویسندگان
چکیده
منابع مشابه
4 Non - amenability and spontaneous symmetry breaking – The hyperbolic spin - chain –
The hyperbolic spin chain is used to elucidate the notion of spontaneous symmetry breaking for a non-amenable internal symmetry group, here SO(1, 2). The noncompact symmetry is shown to be spontaneously broken – something which would be forbidden for a compact group by the Mermin-Wagner theorem. Expectation functionals are defined through the L → ∞ limit of a chain of length L; the functional m...
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We present a detailed study of quantized noncompact, nonlinear SO(1, N) sigma-models in arbitrary space-time dimensions D ≥ 2, with the focus on issues of spontaneous symmetry breaking of boost and rotation elements of the symmetry group. The models are defined on a lattice both in terms of a transfer matrix and by an appropriately gauge-fixed Euclidean functional integral. The main results in ...
متن کاملar X iv : h ep - t h / 03 12 29 3 v 3 2 2 A pr 2 00 5 Non - amenability and spontaneous symmetry breaking – The hyperbolic spin - chain –
The hyperbolic spin chain is used to elucidate the notion of spontaneous symmetry breaking for a non-amenable internal symmetry group, here SO(1, 2). The noncompact symmetry is shown to be spontaneously broken – something which would be forbidden for a compact group by the Mermin-Wagner theorem. Expectation functionals are defined through the L → ∞ limit of a chain of length L; the functional m...
متن کاملar X iv : h ep - t h / 03 12 29 3 v 1 2 6 D ec 2 00 3 Non - amenability and spontaneous symmetry breaking – The hyperbolic spin - chain –
The hyperbolic spin chain is used to elucidate the notion of spontaneous symmetry breaking for a non-amenable internal symmetry group, here SO(1, 2). The noncompact symmetry is shown to be spontaneously broken – something which would be forbidden for a compact group by the Mermin-Wagner theorem. Expectation functionals are defined through the L → ∞ limit of a chain of length L; the functional m...
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This paper considers the possibility of spontaneous transition of aracemic mixture (composed of equal amounts of two enantiomeric species, say L and D) into a monochiral state (in which only one enantiomer, say L, is present). Transitions of this kind have been recently experimentally observed. A plausible approach to this phenomenon is a model put forward by Frank, based on simple laws of ...
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2005
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-005-0233-9