Galilean fermions: Classical and quantum aspects

被引:3
|
作者
Sharma, Aditya [1 ]
机构
[1] BITS Pilani, KK Birla Goa Campus,NH 17B,Bypass Rd, Zuarinagar 403726, Goa, India
关键词
QUANTIZATION;
D O I
10.1103/PhysRevD.107.125009
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We study the classical and quantum "properties" of Galilean fermions in 3 + 1 dimensions. We have taken the case of massless Galilean fermions minimally coupled to the scalar field. At the classical level, the Lagrangian is obtained by null reducing the relativistic theory in one higher dimension. The resulting theory is found to be invariant under infinite Galilean conformal symmetries. Using Noether's procedure, we construct the corresponding infinite conserved charges. Path integral techniques are then employed to probe the quantum properties of the theory. The theory is found to be renormalizable. A novel feature of the theory is the emergence of mass scale at the first order of quantum correction. The conformal symmetry of the theory breaks at quantum level. We confirm this by constructing the beta function of the theory.
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页数:12
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