L Bombelli et al 1992 Class. Quantum Grav. 9 2193 doi:10.1088/0264-9381/9/10/005
L Bombelli, E Gunzig and A Nesteruk
Show affiliationsThe authors investigate some aspects of the dependence of the trace anomaly on the regularization method used in the case of a scalar field with conformal coupling to gravity in a Bianchi I type universe. In the isotropic case, one of the regularization procedures one may use, the so-called 'minimal regularization', gives no trace anomaly. In the anisotropic case, however, the same procedure is no longer sufficient to remove all divergences; one must perform a further regularization, which in effect makes the whole procedure equivalent to covariant regularization; this necessarily gives a trace anomaly, which does not vanish when one takes its isotropic limit. One may thus consider that the choice of regularization procedure even in the isotropic case is forced by the more general situation, and the corresponding anomaly as a remnant of the renormalized stress-energy tensor in the anisotropic case.
Issue 10 (October 1992)
L Bombelli et al 1992 Class. Quantum Grav. 9 2193
Luca Bombelli et al 1994 Class. Quantum Grav. 11 139
L Bombelli and R J Torrence 1990 Class. Quantum Grav. 7 1747
L Bombelli and T Wyrozumski 1989 Class. Quantum Grav. 6 919
D K Srivastava and B Sinha 1992 J. Phys. G: Nucl. Part. Phys. 18 1467
Miguel Abadi and Nicolas Vergne 2008 Nonlinearity 21 2871