# Signals for Non-Cummutative Interactions at Linear Colliders

## Abstract

Recent theoretical results have demonstrated that non-commutative geometries naturally appear within the context of string/M-theory. One consequence of this possibility is that QED takes on a non-abelian nature due to the introduction of 3- and 4-point functions. In addition, each QED vertex acquires a momentum dependent phase factor. We parameterize the effects of non-commutative space-time co-ordinates and show that they lead to observable signatures in several 2 {yields} 2 QED processes in e{sup +}e{sup -} collisions. In particular, we examine pair annihilation, Moller and Bhabha scattering, as well as {gamma}{gamma} {yields} {gamma}{gamma} scattering and show that non-commutative scales of order a TeV can be probed at high energy linear colliders.

- Authors:

- Publication Date:

- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)

- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)

- OSTI Identifier:
- 784955

- Report Number(s):
- SLAC-PUB-8635

TRN: US0108726

- DOE Contract Number:
- AC03-76SF00515

- Resource Type:
- Technical Report

- Resource Relation:
- Other Information: PBD: 23 Jul 2001

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 43 PARTICLE ACCELERATORS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANNIHILATION; BHABHA SCATTERING; LINEAR COLLIDERS; POWER FACTOR; SCATTERING; SPACE-TIME; QUANTUM ELECTRODYNAMICS; STRING MODELS; ELECTRON-POSITRON COLLISIONS; MOELLER SCATTERING

### Citation Formats

```
Rizzo, Thomas G.
```*Signals for Non-Cummutative Interactions at Linear Colliders*. United States: N. p., 2001.
Web. doi:10.2172/784955.

```
Rizzo, Thomas G.
```*Signals for Non-Cummutative Interactions at Linear Colliders*. United States. doi:10.2172/784955.

```
Rizzo, Thomas G. Mon .
"Signals for Non-Cummutative Interactions at Linear Colliders". United States. doi:10.2172/784955. https://www.osti.gov/servlets/purl/784955.
```

```
@article{osti_784955,
```

title = {Signals for Non-Cummutative Interactions at Linear Colliders},

author = {Rizzo, Thomas G.},

abstractNote = {Recent theoretical results have demonstrated that non-commutative geometries naturally appear within the context of string/M-theory. One consequence of this possibility is that QED takes on a non-abelian nature due to the introduction of 3- and 4-point functions. In addition, each QED vertex acquires a momentum dependent phase factor. We parameterize the effects of non-commutative space-time co-ordinates and show that they lead to observable signatures in several 2 {yields} 2 QED processes in e{sup +}e{sup -} collisions. In particular, we examine pair annihilation, Moller and Bhabha scattering, as well as {gamma}{gamma} {yields} {gamma}{gamma} scattering and show that non-commutative scales of order a TeV can be probed at high energy linear colliders.},

doi = {10.2172/784955},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2001},

month = {7}

}