### Abstract

We construct an approximation to field theories on the noncommutative torus based on soliton projections and partial isometries which together form a matrix algebra of functions on the sum of two circles. The matrix quantum mechanics is applied to the perturbative dynamics of scalar field theory, to tachyon dynamics in string field theory, and to the Hamiltonian dynamics of noncommutative gauge theory in two dimensions. We also describe the adiabatic dynamics of solitons on the noncommutative torus and compare various classes of noncommutative solitons on the torus and the plane. © 2004 International Press.

Original language | English |
---|---|

Pages (from-to) | 1-82 |

Number of pages | 82 |

Journal | Advances in Theoretical and Mathematical Physics |

Volume | 8 |

Issue number | 1 |

Publication status | Published - Jan 2004 |

## Fingerprint Dive into the research topics of 'Matrix quantum mechanics and soliton regularization of noncommutative field theory'. Together they form a unique fingerprint.

## Cite this

Landi, G., Lizzi, F., & Szabo, R. J. (2004). Matrix quantum mechanics and soliton regularization of noncommutative field theory.

*Advances in Theoretical and Mathematical Physics*,*8*(1), 1-82.