A reformulation of the Feynman chessboard model

The chessboard model is reviewed and reformulated as a four-state process. In this formulation both the Dirac propagator of the chessboard model and the partition function of the associated Ising chain are observed to be projections of a single matrix of partition functions onto two orthogonal eigen...

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Veröffentlicht in:	Journal of statistical physics 1992, Vol.66 (1-2), p.647-659
1. Verfasser:	ORD, G. N
Format:	Artikel
Sprache:	eng
Schlagworte:	665000 > Physics of Condensed Matter-- (1992-) CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS CLASSICAL MECHANICS CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY CRYSTAL MODELS Exact sciences and technology FEYNMAN PATH INTEGRAL FUNCTIONS INTEGRALS ISING MODEL Lattice theory and statistics (ising, potts, etc.) MATHEMATICAL MODELS MECHANICS 661100 > Classical & Quantum Mechanics-- (1992-) PARTITION FUNCTIONS Physics PROPAGATOR QUANTUM MECHANICS Statistical physics, thermodynamics, and nonlinear dynamical systems STOCHASTIC PROCESSES
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Beschreibung
Zusammenfassung:	The chessboard model is reviewed and reformulated as a four-state process. In this formulation both the Dirac propagator of the chessboard model and the partition function of the associated Ising chain are observed to be projections of a single matrix of partition functions onto two orthogonal eigenspaces. This helps clarify the role played by the phase associated with Feynman paths in this model.
ISSN:	0022-4715 1572-9613
DOI:	10.1007/BF01060086