Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple explicitly solvable interacting relativistic N-particle model   In this paper, we generalize a previous relativistic $1+1$-dimensional model
for two mass-less Dirac particles with relativistic contact interactions to the
$N$-particle case. Our model is based on the notion of a multi-time wave
function which, according to Dirac, is the central object in a relativistic
multi-particle quantum theory in the Schr\"odinger picture. Consequently, we
achieve a manifestly Lorentz invariant formulation on configuration space-time.
Our model is constructed to be compatible with antisymmetry and probability
conservation in a relativistic sense. On the mathematical side, we further
develop the method of multi-time characteristics and show that uniqueness of
solutions follows from probability conservation. We prove that the model is
interacting and outline how one can understand the interaction as effectively
given by a $\delta$-potential at equal times. Finally, we answer the question
whether Lorentz invariant and probability-conserving dynamics can also be
obtained when the particles are confined in a region with a non-zero minimal
space-like distance, a question relevant for an extension to higher dimensions.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th