Gauge Field Theory Coherent States (GCS) : I. General Properties

Details Gauge Field Theory Coherent States (GCS) : I. General Properties Gauge Field Theory Coherent States (GCS) : I. General Properties

2000-05-25

arxiv.org/abs/hep-th/0005233v1

Class.Quant.Grav. 18 (2001) 2025-2064

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, LATEX, no figures

Scientific paper

10.1088/0264-9381/18/11/304

In this article we outline a rather general construction of diffeomorphism covariant coherent states for quantum gauge theories. By this we mean states $\psi_{(A,E)}$, labelled by a point (A,E) in the classical phase space, consisting of canonically conjugate pairs of connections A and electric fields E respectively, such that (a) they are eigenstates of a corresponding annihilation operator which is a generalization of A-iE smeared in a suitable way, (b) normal ordered polynomials of generalized annihilation and creation operators have the correct expectation value, (c) they saturate the Heisenberg uncertainty bound for the fluctuations of $\hat{A},\hat{E}$ and (d) they do not use any background structure for their definition, that is, they are diffeomorphism covariant. This is the first paper in a series of articles entitled ``Gauge Field Theory Coherent States (GCS)'' which aim at connecting non-perturbative quantum general relativity with the low energy physics of the standard model. In particular, coherent states enable us for the first time to take into account quantum metrics which are excited {\it everywhere} in an asymptotically flat spacetime manifold. The formalism introduced in this paper is immediately applicable also to lattice gauge theory in the presence of a (Minkowski) background structure on a possibly {\it infinite lattice}.

Affiliated with

Also associated with

No associations

Rating

Gauge Field Theory Coherent States (GCS) : I. General Properties does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gauge Field Theory Coherent States (GCS) : I. General Properties, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gauge Field Theory Coherent States (GCS) : I. General Properties will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-200809