Conformal invariance and apparent universality of semiclassical gravity

Conformal invariance from non-conformal gravity

We discuss the conditions under which classically conformally invariant models in four dimensions can arise out of non-conformal (Einstein) gravity. As an ‘existence proof’ that this is indeed possible we show how to derive N = 4 super Yang Mills theory with any compact gauge group G from non-conformal gauged N = 4 supergravity as a special flat space limit. We stress the role that the anticipa...

Lorentz Invariance and the semiclassical approximation of loop quantum gravity

It is shown that the field equations derived from an effective interaction hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using weave states are Lorentz invariant. To derive this result, which is in agreement with the observational evidence, we use the geometrical properties of the electromagnetic field. PACS numbers: 04.25.Nx, 04.60,...

Universality and conformal invariance for the Ising model in domains

The partition function with boundary conditions for various two-dimensional Ising models is examined and previously unobserved properties of conformal invariance and universality are established numerically. ∗ First appeared in J. Stat. Physics 98, Nos. 1/2, pp. 131–244, 2000

Conformal dilaton gravity: Classical noninvariance gives rise to quantum invariance

Enrique Álvarez, Sergio González-Martín, and Carmelo P. Martín Instituto de Física Teórica, IFT-UAM/CSIC, Universidad Autónoma, 28049 Madrid, Spain Departamento de Física Teórica, Universidad Autónoma de Madrid, 28049 Madrid, Spain Universidad Complutense de Madrid (UCM), Departamento de Física Teórica I, Facultad de Ciencias Físicas, Av. Complutense S/N (Ciudad Univ.), 28040 Madrid, Spain (Rec...

Invariance and Universality of Complexity