4 research outputs found
Particle dynamics in a class of 2-dimensional gravity theories
We provide a method to determine the motion of a classical massive particle
in a background geometry of 2-dimensional gravity theories, for which the
Birkhoff theorem holds. In particular, we get the particle trajectory in a
continuous class of 2-dimensional dilaton gravity theories that includes the
Callan-Giddings-Harvey-Strominger (CGHS) model, the Jackiw-Teitelboim (JT)
model, and the -dimensional -wave Einstein gravity. The explicit
trajectory expressions for these theories are given along with the discussions
on the results.Comment: 15 pages, LaTeX. The deletion of the repeated portion of the abstract
and the proper line wrapping of the tex file. No other change
Topological Excitations in Compact Maxwell-Chern-Simons Theory
We construct a lattice model of compact (2+1)-dimensional Maxwell-Chern-
Simons theory, starting from its formulation in terms of gauge invariant
quantities proposed by Deser and Jackiw. We thereby identify the topological
excitations and their interactions. These consist of monopolo- antimonopole
pairs bounded by strings carrying both magnetic flux and electric charge. The
electric charge renders the Dirac strings observable and endows them with a
finite energy per unit length, which results in a linearly confining string
tension. Additionally, the strings interact via an imaginary, topological term
measuring the (self-) linking number of closed strings.Comment: harvmac, CERN-TH. 6906/93, DFUPG 80/9