About: Gauge theory gravity is a research topic. Over the lifetime, 25 publications have been published within this topic receiving 612 citations. The topic is also known as: GTG.
TL;DR: In this article, a D3-brane probe is used to uncover details of the supersymmetric SU(N) Yang-Mills theory, where the probe becomes tensionless on a ring at finite radius.
Abstract: We study the family of ten-dimensional type-IIB supergravity solutions corresponding to renormalisation group flows from = 4 to = 2 supersymmetric SU(N) Yang-Mills theory. Part of the solution set corresponds to a submanifold of the Coulomb branch of the gauge theory, and we use a D3-brane probe to uncover details of this physics. At generic places where supergravity is singular, the smooth physics of the probe yields the correct one-loop form of the effective low energy gauge coupling. The probe becomes tensionless on a ring at finite radius. Supergravity flows which end on this ``enhancon'' ring correspond to the vacua where extra massless degrees of freedom appear in the gauge theory, and the gauge coupling diverges there. We identify an SL(2,) duality action on the enhancon ring which relates the special vacua, and comment on the massless dyons within them. We propose that the supergravity solution inside the enhancon ring should be excised, since the probe's tension is unphysical there.
TL;DR: In this article, the spin-torsion sector of a new gauge-theoretic formulation of gravity is analyzed and the relationship to the Einstein-Cartan-Kibble-Sciama theory is discussed.
Abstract: The spin-torsion sector of a new gauge-theoretic formulation of gravity is analyzed and the relationship to the Einstein–Cartan–Kibble–Sciama theory of gravity is discussed. The symmetries of the Riemann tensor and the conservation laws of the theory are derived. This formalism is applied to the problem of a Dirac field coupled self-consistently to gravity. The equations derived from a minimally coupled gauge-invariant Lagrangian naturally give the gauge-theoretic analogs of the Einstein–Cartan–Dirac equations. Finally, a semiclassical model for a spinning point-particle moving in a gravitational background with torsion is considered.
TL;DR: In this article, the Weinberg-Salam model is formulated to incorporate zitterbewegung in electron states and a promising variant that replaces chiral states with Majorana states is formulated.
Abstract: Reformulation of the Dirac equation in terms of the real Spacetime Algebra (STA) reveals hidden geometric structure, including a geometric role for the unit imaginary as generator of rotations in a spacelike plane. The STA and the real Dirac equation play essential roles in a new Gauge Theory Gravity (GTG) version of General Relativity (GR). Besides clarifying the conceptual foundations of GR and facilitating complex computations, GTG opens up new possibilities for a unified gauge theory of gravity and quantum mechanics, including spacetime geometry of electroweak interactions. The Weinberg-Salam model fits perfectly into this geometric framework, and a promising variant that replaces chiral states with Majorana states is formulated to incorporate zitterbewegung in electron states.
TL;DR: The shared background independence of spacetime algebra and the impedance approach to quantization, coupled with the natural gauge invariance of phase shifts introduced by quantum impedances, opens the possibility that identifying the geometric objects of the impedance model with those of spacetetime algebra will permit a more intuitive understanding of the equivalence of gauge theory gravity in flat space with general relativity in curved space.
Abstract: The shared background independence of spacetime algebra and the impedance approach to quantization, coupled with the natural gauge invariance of phase shifts introduced by quantum impedances, opens the possibility that identifying the geometric objects of the impedance model with those of spacetime algebra will permit a more intuitive understanding of the equivalence of gauge theory gravity in flat space with general relativity in curved space.
TL;DR: In this article, a multipartite formulation of gauge theory gravity based on the formalism of space-time algebra for gravitation developed by Lasenby and Doran is presented.
Abstract: In this paper we present a multipartite formulation of gauge theory gravity based on the formalism of space–time algebra for gravitation developed by Lasenby and Doran (Philos Trans R Soc Lond A 582:356–487, 1998). We associate the gauge fields with a description of fermionic and bosonic states using the generalized graded tensor product. Einstein’s equations are deduced from the graded projections and an algebraic Hopf-like structure naturally emerges from formalism. A connection with quantum information theory is performed through the minimal left ideals and entangled qubits are derived. In addition, applications to black holes physics and standard model are outlined.