Momentum-space representation of the Feynman propagator in Riemann-Cartan spacetime

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/52792

Title:	Momentum-space representation of the Feynman propagator in Riemann-Cartan spacetime
Authors:	Wu,YH;Wang,CH
Contributors:	物理學系
Keywords:	SPECTRAL GEOMETRY;POINT-SEPARATION;TIME TORSION;FIELD
Date:	2010
Issue Date:	2012-06-11 10:44:22 (UTC+8)
Publisher:	國立中央大學
Abstract:	We first construct generalized normal coordinates by using autoparallels, instead of geodesics, in an arbitrary Riemann-Cartan spacetime. With the aid of generalized normal coordinates and their associated orthonormal frames, we obtain a momentum-space representation of the Feynman propagator for scalar fields, which is a direct generalization of Bunch and Parker's works to curved spacetime with torsion. We further derive the proper-time representation in n-dimensional Riemann-Cartan spacetime from the momentum-space representation. It leads us to obtain the renormalization of the one-loop effective Lagrangians of free scalar fields by using dimensional regularization. When the torsion tensor vanishes, our resulting momentum-space representation returns to the standard Riemannian results.
Relation:	PHYSICAL REVIEW D
Appears in Collections:	[Department of Physics] journal & Dissertation

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