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- O W Greenberg
- Physical review letters
- 2002

A interacting theory that violates CPT invariance necessarily violates Lorentz invariance. On the other hand, CPT invariance is not sufficient for out-of-cone Lorentz invariance. Theories that violate CPT by having different particle and antiparticle masses must be nonlocal.

- O W Greenberg
- 2000

I discuss theories of violations of statistics, including intermediate statistics, parastatistics, parons, and quons. I emphasize quons, which allow small violations of statistics. I analyze the quon algebra and its representations, implications of the algebra including the observables allowed by the superselection rule separating inequivalent… (More)

- O W Greenberg
- 1997

I show that the spin-statistics theorem has been confused with another theorem that I call the spin-locality theorem. I also argue that the spin-statistics theorem properly depends on the properties of asymptotic fields which are free fields. In addition, I discuss how ghosts evade both theorems, give the basis of the spin-statistics theorem for fields… (More)

- O. W. Greenberg
- 2005

The star commutator of : φ(x) ⋆ φ(x) : with : φ(y) ⋆ φ(y) : fails to vanish at equal times and thus also fails to obey microcausality at spacelike separation even for the case in which θ 0i = 0. The failure to obey microcausality for this sample observable implies that this form of noncommutative field theory fails to obey microcausality in general. This… (More)

- O W Greenberg
- 2003

G. Lüders and W. Pauli proved the CPT theorem based on Lagrangian quantum field theory almost half a century ago. R. Jost gave a more general proof based on " axiomatic " field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the ax-iomatic point of view makes clear why CPT is fundamental–because it… (More)

- O W Greenberg
- 2008

After a brief mention of Bose and Fermi oscillators and of particles which obey other types of statistics, including intermediate statistics, parastatistics, paronic statistics, anyon statistics and infinite statistics, I discuss the statistics of " quons " (pronounced to rhyme with muons), particles whose annihilation and creation operators obey the… (More)

The quon algebra gives a description of particles, " quons, " that are neither fermions nor bosons. The parameter q attached to a quon labels a smooth interpolation between bosons, for which q = +1, and fermions, for which q = −1. Wigner and Ehrenfest and Oppenheimer showed that a composite system of identical bosons and fermions is a fermion if it contains… (More)

- O W Greenberg
- 1999

There are two motivations to consider statistics that are neither Bose nor Fermi: (1) to extend the framework of quantum theory and of quantum field theory, and (2) to provide a quantitative measure of possible violations of statistics. After reviewing tests of statistics for various particles, and types of statistics that are neither Bose nor Fermi, I… (More)

- O W Greenberg
- 2008

I give a brief review of the parton model. The parton model pictures hadrons as a collection of pointlike quasi-free particles. The model describes the cross section for high-energy scattering of hadrons with another particle as an incoherent sum of the cross sections of the pointlike partons in the hadron with the other particle. The hadronic factors in… (More)

- O W Greenberg
- 2004

We formulate Lorentz covariance of a quantum field theory in terms of covariance of time-ordered products (or other Green's functions). This formulation of Lorentz covariance implies spacelike local commutativity or anticom-mutativity of fields, sometimes called microscopic causality or microcausality. With this formulation microcausality does not have to… (More)