Path integral formulation of quantized fields

dc.creatorVatsya, S. R.
dc.date2004-04-29
dc.date2005-01-07
dc.date.accessioned2026-07-07T06:09:38Z
dc.date.available2026-07-07T06:09:38Z
dc.descriptionPhysical path integral formulation of motion of particles in Riemannian spaces is outlined and extended to deduce the corresponding field theoretical formulation. For the special case of a zero rest mass particle in Minkowski manifold, it is shown that the underlying space can be reduced to three-dimensional while similar formulation for a massive particle requires a four-dimensional structure. The solutions obtained by the present procedure are compared with the results obtained from its counterpart for a massive particle by setting the mass equal to zero. Although similar, the present formulation has some additional implications pertaining to the energy spectrum and the associated free field quantization, particularly it yields zero vacuum energy. The results are naturally extended to higher dimensions.
dc.descriptionOriginal version: 10 pages. New version: 11 pages. Changes made: 1. Compensating errors in Eqs. (6) and (9) corrected. 2. Manuscript adjusted for consistency with Eqs. (6) and (9). 3. Minor adjustments made to the text for clarification
dc.identifierhttps://arxiv.org/abs/quant-ph/0404166
dc.identifierhttp://arxiv.org/abs/quant-ph/0404166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92028
dc.subjectQuantum Physics
dc.titlePath integral formulation of quantized fields
dc.typetext

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