The method of Ostrogradsky has been used to construct a first-order Lagrangian, hence Hamiltonian, for the fourth-order field-theoretical model of Pais–Uhlenbeck with unfortunate results when quantization is undertaken since states with negative norm, commonly called “ghosts,” appear. We propose an alternative route based on the preservation of symmetry and this leads to a ghost-free quantization.
NUCCI, M.C., P. G. L. LEACH (2009). The method of Ostrogradsky, quantisation and a move towards a ghost-free future. JOURNAL OF MATHEMATICAL PHYSICS, 50(11), 113508-1-113508-6 [10.1063/1.3257179].
The method of Ostrogradsky, quantisation and a move towards a ghost-free future
NUCCI, Maria Clara;
2009
Abstract
The method of Ostrogradsky has been used to construct a first-order Lagrangian, hence Hamiltonian, for the fourth-order field-theoretical model of Pais–Uhlenbeck with unfortunate results when quantization is undertaken since states with negative norm, commonly called “ghosts,” appear. We propose an alternative route based on the preservation of symmetry and this leads to a ghost-free quantization.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
