FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime

Details FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime

2008-05-12

arxiv.org/abs/0805.1595v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Unpublished report

Scientific paper

Fulling, King, Wybourne and Cummings (FKWC) have proposed to expand systematically the Riemann polynomials encountered in the context of field theories in curved spacetime on standard bases constructed from group theoretical considerations. They have also displayed such bases for scalar Riemann polynomials of order eight or less in the derivatives of the metric tensor and for tensorial Riemann polynomials of order six or less. Here we provide a slightly modified version of the FKWC-bases as well as an important list of geometrical relations we have used in recent works. These relations are independent of the dimension of spacetime. In our opinion, they are helpful to achieve quickly and easily, by hand, very tedious calculations as well as, of course, to provide irreducible expressions for all the results obtained. They could be very helpful to people working in gravitational physics and more particularly (i) to treat some aspects of the classical theory of gravitational waves such as the radiation reaction problem and (ii) to deal with regularization and renormalization of quantum field theories, of stochastic semiclassical gravity and of higher-order theories of gravity.

Affiliated with

Also associated with

No associations

Rating

FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and FKWC-bases and geometrical identities for classical and quantum field theories in curved spacetime will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-325074