NON-CANONICAL PERTURBATION THEORY OF NONLINEAR SIGMA MODELS

被引:4
|
作者
Aldaya, V. [1 ]
Calixto, M. [1 ,2 ]
Lopez-Ruiz, F. F. [1 ]
机构
[1] CSIC, Inst Astrofis Andalucia, E-18080 Granada, Spain
[2] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, E-18071 Granada, Spain
关键词
Nonlinear sigma model; non-canonical quantization; local Euclidean group; perturbation theory; Higgs-less field models; YANG-MILLS THEORY; ALGEBRAIC QUANTIZATION; RENORMALIZABILITY; UNITARY; BOSONS;
D O I
10.1142/S0217732311034670
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We explore the O(N)-invariant Non-Linear Sigma Model (NLSM) in a different perturbative regime from the usual relativistic-free-field one, by using non-canonical basic commutation relations adapted to the underlying O(N) symmetry of the system, which also account for the nontrivial (nonflat) geometry and topology of the target manifold.
引用
收藏
页码:127 / 138
页数:12
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