Published February 15, 1987
| Version v1
Journal article
Species doubling and transfer matrices for fermionic fields
Description
The transfer-matrix formalism for relating Hamiltonian quantum mechanics and Euclidean path integrals is discussed in the context of fermionic fields. Particular emphasis is placed on the extra fermionic species encountered with the naive discretization of time. When both particles and antiparticles are present, the Wilson projection-operator formalism arises naturally for the temporal coordinate. We discuss in detail how the Hilbert space must be enlarged to remove these projections
Additional details
Publishing Information
- Journal Title
- Phys. Rev., D
- Journal Volume
- 35
- Journal Issue
- 4
- Series
- Phys. Rev., D.
- Journal Page Range
- 1460-1467
- ISSN
- 0556-2821
- CODEN
- PRVDA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 19014659
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHIRAL SYMMETRY; DIRAC EQUATION; EUCLIDEAN SPACE; FERMIONS; FEYNMAN PATH INTEGRAL; HAMILTONIANS; HILBERT SPACE; LATTICE FIELD THEORY; MATRICES; MONTE CARLO METHOD; QUANTUM MECHANICS; SPACE-TIME; SYMMETRY BREAKING; TIME DEPENDENCE
- Descriptors DEC
- BANACH SPACE; CONSTRUCTIVE FIELD THEORY; DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FIELD THEORIES; INTEGRALS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; RIEMANN SPACE; SPACE; SYMMETRY; WAVE EQUATIONS