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A QUANTIZABLE MODEL OF MASSIVE GAUGE VECTOR BOSONS WITHOUT HIGGS
被引:7
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 Politecn Cartagena, Dept Matemat Aplicada & Estadist, Cartagena 30203, Spain
关键词:
Massive gauge theory;
non-canonical quantization;
group-theoretical quantization;
standard model;
YANG-MILLS THEORY;
HIDDEN LOCAL SYMMETRIES;
FIELD;
RENORMALIZABILITY;
UNITARY;
MESONS;
D O I:
10.1142/S0217732309032034
中图分类号:
P1 [天文学];
学科分类号:
0704 ;
摘要:
We incorporate the parameters of the gauge group G into the gauge theory of interactions through an onlinear partial-trace sigma-model Lagrangian on G/H. The minimal coupling of the new (Goldstone-like) scalar bosons provides mass terms to those intermediate vector bosons associated with the quotient G/H, without spoiling gauge invariance, while the H-vector potentials remain massless. The main virtue of a partial trace on G/H, rather than on the entire G,is that we can find an infinite-dimensional symmetry, with nontrivial Noether invariants, which ensures quantum integrability in a non-canonical quantization scheme. The present formalism is explicitly applied to the case G=SU (2) x U(1), as a Higgsless alternative to the Standard Model of electroweak interactions, although it can also be used in low-energy phenomenological models for strong interactions.
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页码:2731 / 2740
页数:10
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