Lorentz symmetric quantum field theory for symplectic fermions
Journal Article
·
· Journal of Mathematical Physics
- Newman Laboratory, Cornell University, Ithaca, New York 14850 (United States)
A free quantum field theory with Lorentz symmetry is derived for spin-half symplectic fermions in 2+1 dimensions. In particular, we show that fermionic spin-half fields may be canonically quantized in a free theory with a Klein-Gordon Lagrangian. This theory is shown to have all the required properties of a consistent free quantum field theory, namely, causality, unitarity, adherence to the spin-statistics theorem, CPT symmetry, and the Hermiticity and positive definiteness of the Hamiltonian. The global symmetry of the free theory is Sp(4){approx_equal}SO(5). Possible interacting theories of both the pseudo-Hermitian and Hermitian variety are then examined briefly.
- OSTI ID:
- 21294446
- Journal Information:
- Journal of Mathematical Physics, Vol. 50, Issue 11; Other Information: DOI: 10.1063/1.3248256; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Black holes and Rindler superspace: Classical singularity and quantum unitarity
$${\mathcal{P}}{\mathcal{T}}$$-Symmetric Effective Model for Nonequilibrium Phase Transitions in a Dissipative Fermionic Mott Insulator Chain
Relationship between causality, in a classical relativistic field theory, and Lorentz invariance, in the corresponding quantum theory, for a massive spin-one field in external potentials
Journal Article
·
Mon Oct 15 00:00:00 EDT 2007
· Physical Review. D, Particles Fields
·
OSTI ID:21294446
$${\mathcal{P}}{\mathcal{T}}$$-Symmetric Effective Model for Nonequilibrium Phase Transitions in a Dissipative Fermionic Mott Insulator Chain
Journal Article
·
Wed Apr 29 00:00:00 EDT 2020
· Scientific Reports
·
OSTI ID:21294446
Relationship between causality, in a classical relativistic field theory, and Lorentz invariance, in the corresponding quantum theory, for a massive spin-one field in external potentials
Journal Article
·
Sat Dec 01 00:00:00 EST 1973
· J. Phys., A (London), v. 6, no. 12, pp. 1935-1942
·
OSTI ID:21294446