Physics NotePublished
Construction of a Non-Standard Quantum Field Theory Through a Generalized Heisenberg Algebra
Marco Aurélio do Rego Monteiro; E. M. F. Curado
2001
Publication details
- Authors
- Marco Aurélio do Rego Monteiro; E. M. F. Curado
- Type
- Physics Note
- Status
- Published
- Publication date
- 2001
- Description
- We construct a Heisenberg-like algebra for the one dimensional quantum free Klein-Gordon equation defined on the interval of the real line of length ''L''. Using the realization of the ladder operators of this type Heisenberg algebra in terms of physical operators we build a 3+1 dimensional free quantum field theory based on this algebra. We introduce fields written in terms of the ladder operators of this type Heisenberg algebra and a free quantum Hamiltonian in terms of these fields. The mass spectrum of the physical excitations of this quantum field theory are given by <math>\sqrt{n^2 \pi^2/L^2+m_q^2}</math>, where <math>n= 1,2,\cdots</math> denotes the level of the particle with mass <math>m_q\,\!</math> in an infinite square-well potential of width ''L'' .
- Year
- 2001
- Number
- CBPF-NF-004/01
- Linked to a thesis
- No
- Linked to a grant
- No