Is the Polyakov path integral prescription too restrictive?

dc.creatorMathur, Samir D.
dc.date1993-06-18
dc.date.accessioned2026-07-07T04:19:29Z
dc.date.available2026-07-07T04:19:29Z
dc.descriptionIn the first quantised description of strings, we integrate over target space co-ordinates $X^μ$ and world sheet metrics $g_{αβ}$. Such path integrals give scattering amplitudes between the `in' and `out' vacuua for a time-dependent target space geometry. For a complete description of `particle creation' and the corresponding backreaction, we need instead the causal amplitudes obtained from an `initial value formulation'. We argue, using the analogy of a scalar particle in curved space, that in the first quantised path integral one should integrate over $X^μ$ and world sheet {\it zweibiens}. This extended formalism can be made to yield causal amplitudes; it also naturally allows incorporation of density matrices in a covariant manner. (This paper is an expanded version of hep-th 9301044)
dc.description37 pages, harvmac
dc.identifierhttps://arxiv.org/abs/hep-th/9306090
dc.identifierhttp://arxiv.org/abs/hep-th/9306090
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/53571
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleIs the Polyakov path integral prescription too restrictive?
dc.typetext

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