RELATIVISTIC QUANTUM THEORY OF PARTICLES WITH VARIABLE MASS, I

Relativistic Quantum Theory of Particles with Variable Mass, Ii.

Introduction.-In the first part of this paper,' it was shown that the following wave equation offers a new method for describing a free particle in relativistic quantum theory: (iEps ± Mc)/M = 0, (1) where M is the operator M = m + moEk l?7kq + m'eke?7. (2) Here, m, mo, m' are any scalar hermitian operators which commute with ECk, 7ki, Pi, and in particular they may be c-numbers. The momentum o...

Relativistic Quantum Field Theory

Relativistic Field Theory of Unstable Particles

I feel quite ashamed no t to be speaking a b o u t any indefinite metric. I a m going to confine my r emarks to the old familiar relativistic local field theory and discuss the p rob lem of creat ing a f ramework for the descript ion of uns table e lementary particles. I need n o t apologize for this. Of the sixteen k n o w n e lementary particles, only four — the p ro ton , the electron, the n...

BRST Field Theory of Relativistic Particles

A generalization of BRST field theory is presented, based on wave operators for the fields constructed out of, but different from the BRST operator. We discuss their quantization, gauge fixing and the derivation of propagators. We show, that the generalized theories are relevant to relativistic particle theories in the Brink-Di Vecchia-Howe-Polyakov (BDHP) formulation, and argue that the same p...

Discrete Spacetime and Relativistic Quantum Particles

We study a single quantum particle in discrete spacetime evolving in a causal way. We see that in the continuum limit any massless particle with a two dimensional internal degree of freedom obeys the Weyl equation, provided that we perform a simple relabeling of the coordinate axes or demand rotational symmetry in the continuum limit. It is surprising that this occurs regardless of the specific...