TY - JOUR
T1 - About the Triviality of the Higher Derivative Sector in the Abelian Lee-Wick Model
AU - Fiorentini, D.
AU - Vasquez-Otoya, V. J.
N1 - Publisher Copyright:
© 2018, Sociedade Brasileira de Física.
PY - 2018/12/1
Y1 - 2018/12/1
N2 - Canonical quantization is reviewed here for the Abelian Lee-Wick model by using the Dirac constraints method, a Gupta-Bleuler-like prescription is implemented and the BRST charge operator for this model is built. New degrees of freedom associated to the (higher derivatives) Lee-Wick ghost are excluded from the (physical) space of observables by the imposition of a Piguet-Nielsen-type BRST-extended symmetry for the Lee-Wick mass term, removing the Lee-Wick mass parameter of the theory, which implies remove all the higher derivative sector. In addition, another prescription based on a new subsidiary condition of invariance under a purely higher derivative BRST-type new symmetry is proposed.
AB - Canonical quantization is reviewed here for the Abelian Lee-Wick model by using the Dirac constraints method, a Gupta-Bleuler-like prescription is implemented and the BRST charge operator for this model is built. New degrees of freedom associated to the (higher derivatives) Lee-Wick ghost are excluded from the (physical) space of observables by the imposition of a Piguet-Nielsen-type BRST-extended symmetry for the Lee-Wick mass term, removing the Lee-Wick mass parameter of the theory, which implies remove all the higher derivative sector. In addition, another prescription based on a new subsidiary condition of invariance under a purely higher derivative BRST-type new symmetry is proposed.
KW - BRST
KW - Cohomology
KW - Faddev-Popov quantization
KW - Lee-Wick Abelian model
UR - http://www.scopus.com/inward/record.url?scp=85056134789&partnerID=8YFLogxK
U2 - 10.1007/s13538-018-0598-0
DO - 10.1007/s13538-018-0598-0
M3 - Article
AN - SCOPUS:85056134789
SN - 0103-9733
VL - 48
SP - 619
EP - 628
JO - Brazilian Journal of Physics
JF - Brazilian Journal of Physics
IS - 6
ER -