Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions
نویسندگان
چکیده
منابع مشابه
Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions
— Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H2, the two-hyperboloid with isometry group SU(1,1), and prove that in three dimensions moments of the fields are finite in the thermodynamic limit. Thus the non-compact symmetry SU(1,1) is spontaneously broken. The bound...
متن کاملVacuum orbit and spontaneous symmetry breaking in hyperbolic sigma - models
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 کاملTHE FRANK KINETIC MODEL FOR SPONTANEOUS CHIRAL SYMMETRY BREAKING WITH VARIABLE CONCENTRATION OF THE ACHIRAL SUBSTRATE
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 ...
متن کاملSolitons and Spontaneous Symmetry Breaking in 2 and 4 Dimensions
We show that mass generation in 1+1 and 3+1 dimensions may occur together with spontaneous symmetry breaking. 1. Thirring model in the chirally broken phase Skyrme’s conjectured [1] that the solitons of the sine-Gordon model have the properties of fermions and couple by an interaction of the Thirring model type. The sine-Gordon model is a model of a bosonic field θ(x) in 1+1–dimensional space–t...
متن کاملSpontaneous breaking of a global symmetry in a 331 model
In a 331 model in which the lepton masses arise from a scalar sextet it is possible to break spontaneously a global symmetry implying in a pseudoscalar majoron-like Goldstone boson. This majoron does not mix with any other scalar fields and for this reason it does not couple, at the tree level, neither to the charged leptons nor to the quarks. Moreover, its interaction with neutrinos is diagona...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2004
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-004-1223-3