RELATIVISTIC QUANTUM THEORY OF PARTICLES WITH VARIABLE MASS, II

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...

8.324 Relativistic Quantum Field Theory II

The renormalization program has been shown to be a success operationally: 1. For a renormalizable theory, all ultraviolet divergences can be absorbed into redefinitions of bare quan­ tities, which are not observable. What is meant by the set of physical observables is unambiguous: it is well-defined in terms of a small number of physical couplings, masses and so forth. 2. The requirement of ren...

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...