Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Point Particle with Extrinsic Curvature as a Boundary of a Nambu-Goto
  String: Classical and Quantum Model   It is shown how a string living in a higher dimensional space can be
approximated as a point particle with squared extrinsic curvature. We consider
a generalized Howe-Tucker action for such a "rigid particle" and consider its
classical equations of motion and constraints. We find that the algebra of the
Dirac brackets between the dynamical variables associated with velocity and
acceleration contains the spin tensor. After quantization, the corresponding
operators can be represented by the Dirac matrices, projected onto the
hypersurface that is orthogonal to the direction of momentum. A condition for
the consistency of such a representation is that the states must satisfy the
Dirac equation with a suitable effective mass. The Pauli-Lubanski vector
composed with such projected Dirac matrices is equal to the Pauli-Lubanski
vector composed with the usual, non projected, Dirac matrices, and its
eigenvalues thus correspond to spin one half states.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics