Induced gravity from gauge theories

Abstract

We discuss the possibility of a class of gauge theories, in four Euclidean dimensions, to describe gravity at quantum level. The requirement is that, at low energies, these theories can be identified with gravity as a geometrodynamical theory. Specifically, we deal with de Sitter-type groups and show that a Riemann-Cartan first order gravity emerges. An analogy with quantum chromodynamics is also formulated. Under this analogy it is possible to associate a soft BRST breaking to a continuous deformation between both sectors of the theory, namely, ultraviolet and infrared. Moreover, instead of hadrons and glueballs, the physical observables are identified with the geometric properties of spacetime. Furthermore, Newton and cosmological constants can be determined from the dynamical content of the theory.

17pp. No figures. Talk given at \emph{NEB 15 - Recent Developments in Gravity}, 20-23 June 2012, Technological Educational Institute, Chania, Crete, Greece

References in corpus (9)

• Glueball masses from an infrared moment problem and nonperturbative Landau gauge
• Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
• The Gribov horizon and spontaneous BRST symmetry breaking
• Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
• Cosmological Constant Problems and Renormalization Group
• Effective gravity from a quantum gauge theory in Euclidean space-time
• Dynamically broken Anti-de Sitter action for gravity
• On the topological reduction from the affine to the orthogonal gauge theory of gravity
• de Sitter group and Einstein-Hilbert Lagrangian

Cited by in corpus (3)

• Constrained gauge-gravity duality in three and four dimensions
• Static and spherically symmetric solutions in a scenario with quadratic curvature contribution
• Cosmology from a gauge induced gravity