Momentum-space representation of the Feynman propagator in Riemann-Cartan spacetime
- 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, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.064007; (c) 2010 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Rodichev condition on torsion, spinors, and conservation laws in Riemann-Cartan space
Dirac particle in Riemann-Cartan spacetimes