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

Journal Article · Wed Sep 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.064007· OSTI ID:21421149

Wu, Y -H; Wang, C -H ^[1]

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1. Center for Mathematics and Theoretical Physics, National Central University, and Department of Physics, National Central University, No. 300, Jhongda Road, Jhongli 320, Taiwan (China)

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.

• OSTI ID: 21421149
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FUNCTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL SPACE
PROPAGATOR
RENORMALIZATION
RIEMANN SPACE
SCALAR FIELDS
SPACE
SPACE-TIME
TORSION