On First-Quantized Fermions in Compact Dimensions

dc.creatorMarshakov, A.
dc.date2001-04-11
dc.date2001-05-04
dc.date.accessioned2026-07-07T04:11:33Z
dc.date.available2026-07-07T04:11:33Z
dc.descriptionWe discuss the path integral representation for the fermionic particles and strings and concentrate at the problems arising when some target-space dimensions are compact. An example of partition function for fermionic particle at finite temperature or with one compact target-space dimension is considered in detail. It is demonstrated that the first-quantized path integral requires, in general, presence of nonvanishing "Wilson loops" and modulo some common problems for real fermions in Grassmannian formulation one can try to reinterpret them in terms of condensates of the world-line fermions. The properties of corresponding path integrals in string theory are also discussed.
dc.descriptionContribution to a special issue of Theoretical and Mathematical Physics in honour of 75th birthday of Vladimir Ya. Fainberg; 9 pp, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0104109
dc.identifierhttp://arxiv.org/abs/hep-th/0104109
dc.identifierTheor.Math.Phys. 128 (2001) 1213-1224; Teor.Mat.Fiz. 128 (2001) 446-460
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50632
dc.subjectHigh Energy Physics - Theory
dc.titleOn First-Quantized Fermions in Compact Dimensions
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