TY - JOUR
T1 - Lorentz invariance in heavy particle effective theories
AU - Heinonen, Johannes
AU - Hill, Richard J.
AU - Solon, Mikhail P.
PY - 2012/11/15
Y1 - 2012/11/15
N2 - 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/M4. Formalism for fields of arbitrary spin and for self-conjugate fields is presented, and the extension to effective theories of massless fields is discussed.
AB - 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/M4. Formalism for fields of arbitrary spin and for self-conjugate fields is presented, and the extension to effective theories of massless fields is discussed.
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U2 - 10.1103/PhysRevD.86.094020
DO - 10.1103/PhysRevD.86.094020
M3 - Article
AN - SCOPUS:84870227039
SN - 1550-7998
VL - 86
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 9
M1 - 094020
ER -