A new matrix model for noncommutative field theory

Giovanni Landi; Fedele Lizzi; Richard J. Szabo

doi:10.1016/j.physletb.2003.10.059

A new matrix model for noncommutative field theory

Giovanni Landi
, Fedele Lizzi
, Richard J. Szabo

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched. © 2003 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	449-458
Number of pages	10
Journal	Physics Letters B
Volume	578
Issue number	3-4
DOIs	https://doi.org/10.1016/j.physletb.2003.10.059
Publication status	Published - 8 Jan 2004

Access to Document

10.1016/j.physletb.2003.10.059

Cite this

@article{4f44e8a9c84144c28b070b43b5cc362e,

title = "A new matrix model for noncommutative field theory",

abstract = "We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched. {\textcopyright} 2003 Elsevier B.V. All rights reserved.",

author = "Giovanni Landi and Fedele Lizzi and Szabo, \{Richard J.\}",

year = "2004",

month = jan,

day = "8",

doi = "10.1016/j.physletb.2003.10.059",

language = "English",

volume = "578",

pages = "449--458",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier B.V.",

number = "3-4",

}

TY - JOUR

T1 - A new matrix model for noncommutative field theory

AU - Landi, Giovanni

AU - Lizzi, Fedele

AU - Szabo, Richard J.

PY - 2004/1/8

Y1 - 2004/1/8

N2 - We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched. © 2003 Elsevier B.V. All rights reserved.

AB - We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models. The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra. The matrix trajectories are obtained via the expansion of fields in a basis of new noncommutative solitons described by projections and partial isometries. The matrix quantum mechanics are compared with the usual zero-dimensional matrix model regularizations and some applications are sketched. © 2003 Elsevier B.V. All rights reserved.

UR - https://www.scopus.com/pages/publications/0346154816

U2 - 10.1016/j.physletb.2003.10.059

DO - 10.1016/j.physletb.2003.10.059

M3 - Article

SN - 0370-2693

VL - 578

SP - 449

EP - 458

JO - Physics Letters B

JF - Physics Letters B

IS - 3-4

ER -

A new matrix model for noncommutative field theory

Abstract

Access to Document

Other files and links

Fingerprint

Cite this