Lorentz invariance in heavy particle effective theories

被引：45

作者：

Heinonen, Johannes ^{[1
]}

Hill, Richard J.

Solon, Mikhail P.

机构：

[1] Univ Chicago, Enrico Fermi Inst, Chicago, IL 60637 USA

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 09期

关键词：

CHIRAL PERTURBATION-THEORY; EFFECTIVE-FIELD-THEORY; REPARAMETERIZATION INVARIANCE; REPARAMETRIZATION INVARIANCE; CONSTRAINTS; QCD;

D O I：

10.1103/PhysRevD.86.094020

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Employing induced representations of the Lorentz group (Wigner's little group construction), formalism for constructing heavy particle effective Lagrangians is developed, and Lagrangian constraints enforcing Lorentz invariance of the S matrix are derived. The relationship between Lorentz invariance and reparametrization invariance is established and it is shown why a standard ansatz for implementing reparametrization invariance in heavy fermion effective Lagrangians breaks down at order 1/M-4. Formalism for fields of arbitrary spin and for self-conjugate fields is presented, and the extension to effective theories of massless fields is discussed.

引用

页数：14

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