Constrained partition functions and the antisymmetric tensor field

We consider the case when the spatial topology of the Universe is that of a torus with metric {ital g}{sub {ital i}{ital j}}. We form an expression for the density of states under the constraint that the total momentum and winding number are zero. To accomplish this we introduce nonzero values of {i...

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Veröffentlicht in:	Physical review. D, Particles and fields Particles and fields, 1990-09, Vol.42 (6), p.2040-2044
1. Verfasser:	MCGUIGAN, M
Format:	Artikel
Sprache:	eng
Schlagworte:	640106 - Astrophysics & Cosmology- Cosmology CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS COMPOSITE MODELS COSMOLOGICAL MODELS DUALITY EUCLIDEAN SPACE Exact sciences and technology EXTENDED PARTICLE MODEL FERMIONS FUNCTIONS GAUGE INVARIANCE General relativity and gravitation Gravity in more than four dimensions, kaluza-klein theory, unified field theories alternative theories of gravity INTEGRAL TRANSFORMATIONS INVARIANCE PRINCIPLES LAPLACE TRANSFORMATION MATHEMATICAL MODELS MATHEMATICAL SPACE MATHEMATICS MECHANICS METRICS PARTICLE MODELS PARTITION FUNCTIONS Physics QUARK MODEL RIEMANN SPACE SPACE STATISTICAL MECHANICS STRING MODELS TENSOR FORCES TOPOLOGY TRANSFORMATIONS UNIVERSE WILSON LOOP
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Zusammenfassung:	We consider the case when the spatial topology of the Universe is that of a torus with metric {ital g}{sub {ital i}{ital j}}. We form an expression for the density of states under the constraint that the total momentum and winding number are zero. To accomplish this we introduce nonzero values of {ital g}{sub 00}, {ital g}{sub 0{ital i}}, and {ital B}{sub 0{ital i}} in the imaginary-time formalism and integrate over all such values.
ISSN:	0556-2821 1089-4918
DOI:	10.1103/PhysRevD.42.2040