Quantum Field Theory of Extended Particles

Quantum Field Theory for Elementary Particles

Field Theory of Yang-Mills Quantum Mechanics for D-Particles

We propose a new field-theoretic framework for formulating the non-relativistic quantum mechanics of D-particles in a Fock space of U(N) Yang-Mills theories with all different N in a unified way. D-particle field operators, creating and annihilating a D-particle and hence changing N one by one, are defined. The base space of these D-particle fields is a (complex) vector space of infinite dimens...

Emergence of particles from bosonic quantum field theory

An examination is made of the way in which particles emerge from linear, bosonic, massive quantum field theories. Two different constructions of the one-particle subspace of such theories are given, both illustrating the importance of the interplay between the quantummechanical linear structure and the classical one. Some comments are made on the Newton-Wigner representation of one-particle sta...

Elementary Particles in a Quantum Theory over a Galois Field

We consider elementary particles in a quantum theory based on a Galois field. In this approach infinities cannot exist, the cosmological constant problem does not arise and one irreducible representation of the symmetry algebra necessarily describes a particle and its antiparticle simultaneously. In other words, the very existence of antiparticles is a strong indication that nature is described...

Field Theory of Unstable Particles

Using the example of a spinless boson field, the structure of the simplest Green’s function is developed to provide a uniform theory of particles, stable and unstable. Some attention is given to the time decay law of unstable particles and it is emphasized that a full account of the relevant physical situation must be contained in its mathematical representation, leading to the conclusion that ...