Feynman diagams coupled to three-dimensional quantum gravity
نویسنده
چکیده
A framework for quantum field theory coupled to three-dimensional quantum gravity is proposed. The coupling with quantum gravity regulates the Feynman diagrams. One recovers the usual Feynman amplitudes in the limit as the cosmological constant tends to zero. The purpose of this note is to give further detail of the proposal to define a quantum field theory of particles coupled to three-dimensional quantum gravity which was developed in [B, BGM, B2]. There are two ways of formulating the usual Feynman diagram in flat space the position representation and the (more common) momentum representation. Both of these can be used, after a little reformulation, to give the same theory of the coupling of Feynman diagrams to quantum gravity. I will describe each of these in turn. ∗Copyright c © John W. Barrett 2005
منابع مشابه
- qc / 0 60 20 10 v 1 2 F eb 2 00 6 Group field theory formulation of 3 d quantum gravity coupled to matter fields
We present a new group field theory describing 3d Riemannian quantum gravity coupled to matter fields for any choice of spin and mass. The perturbative expansion of the partition function produces fat graphs colored with SU(2) algebraic data, from which one can reconstruct at once a 3-dimensional simplicial complex representing spacetime and its geometry, like in the Ponzano-Regge formulation o...
متن کاملA Note on the Dimensional Regularization of the Standard Model Coupled with Quantum Gravity
In flat space, γ5 and the epsilon tensor break the dimensionally continued Lorentz symmetry in such a way that the propagators have fully Lorentz invariant denominators. When the Standard Model is coupled with quantum gravity γ5 breaks the continued local Lorentz symmetry. I show how to deform the Einstein lagrangian and gauge-fix the residual local Lorentz symmetry so that the propagators of t...
متن کاملMatrix model formulation of four dimensional gravity
The problem of constructing a quantum theory of gravity has been tackled with very different strategies. An attractive possibility is that of encoding all possible space-times as specific Feynman diagrams of a suitable field theory as it happens for the matrix model formulation of two-dimensional quantum gravity (see for example [1] and references therein). In the perturbative approach to the m...
متن کاملFeynman Rules for Simplicial Gravity
We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a useful guide for non-perturbative studies of gravity. The Feynman rules for Regge's simplicial lattice formulation of gravity are then discussed in detail in tw...
متن کاملFeynman loops and three-dimensional quantum gravity
This paper explores the idea that within the framework of threedimensional quantum gravity one can extend the notion of Feynman diagram to include the coupling of the particles in the diagram with quantum gravity. The paper concentrates on the non-trivial part of the gravitational response, which is to the large momenta propagating around a closed loop. By taking a limiting case one can give a ...
متن کامل