# Stretched strings in noncommutative field theory

@article{Liu2000StretchedSI, title={Stretched strings in noncommutative field theory}, author={Hong Liu and Jeremy Michelson}, journal={Physical Review D}, year={2000}, volume={62}, pages={066003} }

Motivated by recent discussions of IR-UV mixing in noncommutative field theories, we perform a detailed analysis of the nonplanar amplitudes of the bosonic open string in the presence of an external B field at the one-loop level. We carefully isolate, at the string theory level, the contribution which is responsible for the IR-UV behavior in the field theory limit. We show that it is a pure open string effect by deriving it from the factorization of the one-loop amplitude into the disk…

## 53 Citations

### UNITARITY OF NONCOMMUTATIVE FIELD THEORIES FROM STRING THEORY

- Physics
- 2003

We improve the study of the lack of perturbative unitarity of noncommutative space-time quantum field theories derived from open string theory in electric backgrounds, enforcing the universality of…

### UV/IR MIXING IN NONCOMMUTATIVE FIELD THEORIES AND OPEN–CLOSED STRING DUALITY

- Physics
- 2006

In this paper we study the phenomenon of UV/IR mixing in noncommutative field theories from the point of view of worldsheet open–closed duality in string theory. New infrared divergences in…

### Multiloop Noncommutative Open String Theory and their QFT Limit

- Physics
- 2001

The multiloop amplitudes for open bosonic string in presence of a constant B-field are derived from first principles. The basic ingredients of the construction are the commutation relations for the…

### Cutting rules and perturbative unitarity of noncommutative electric-type field theories from string theory

- Physics
- 2002

We discuss the breakdown of perturbative unitarity of noncommutative quantum field theories in electric-type background in the light of string theory. We consider the analytic structure of string…

### Nonrelativistic noncommutative field theory and UV-IR mixing

- Mathematics, Physics
- 2000

We study a non-commutative non-relativistic scalar field theory in 211 dimensions. The theory shows the UV-IR mixing typical of QFT on non-commutative spaces. The one-loop correction to the two-point…

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