# Excursions through KK modes

## Abstract

In this article we study Kaluza-Klein (KK) dimensional reduction of massive Abelian gauge theories with charged matter fields on a circle. Since local gauge transformations change position dependence of the charged fields, the decomposition of the charged matter fields into KK modes is gauge dependent. While whole KK mass spectrum is independent of the gauge choice, the mode number depends on the gauge. The masses of the KK modes also depend on the field value of the zero-mode of the extra dimensional component of the gauge field. In particular, one of the KK modes in the KK tower of each massless 5D charged field becomes massless at particular values of the extra-dimensional component of the gauge field. When the extra-dimensional component of the gauge field is identified with the inflaton, this structure leads to recursive cosmological particle productions.

- Authors:

- Manipal Centre for Natural Sciences, Manipal University,Manipal, Karnataka 576104 (India)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22572112

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2016; Journal Issue: 07; Other Information: PUBLISHER-ID: JCAP07(2016)008; OAI: oai:repo.scoap3.org:16317; cc-by Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPACTIFICATION; COSMOLOGICAL INFLATION; COSMOLOGY; GAUGE INVARIANCE; INFLATIONARY UNIVERSE; INFLATONS; KALUZA-KLEIN THEORY; MANY-DIMENSIONAL CALCULATIONS; MASS SPECTRA; QUANTUM FIELD THEORY; SPACE DEPENDENCE; STRING THEORY

### Citation Formats

```
Furuuchi, Kazuyuki.
```*Excursions through KK modes*. United States: N. p., 2016.
Web. doi:10.1088/1475-7516/2016/07/008.

```
Furuuchi, Kazuyuki.
```*Excursions through KK modes*. United States. doi:10.1088/1475-7516/2016/07/008.

```
Furuuchi, Kazuyuki. Thu .
"Excursions through KK modes". United States. doi:10.1088/1475-7516/2016/07/008.
```

```
@article{osti_22572112,
```

title = {Excursions through KK modes},

author = {Furuuchi, Kazuyuki},

abstractNote = {In this article we study Kaluza-Klein (KK) dimensional reduction of massive Abelian gauge theories with charged matter fields on a circle. Since local gauge transformations change position dependence of the charged fields, the decomposition of the charged matter fields into KK modes is gauge dependent. While whole KK mass spectrum is independent of the gauge choice, the mode number depends on the gauge. The masses of the KK modes also depend on the field value of the zero-mode of the extra dimensional component of the gauge field. In particular, one of the KK modes in the KK tower of each massless 5D charged field becomes massless at particular values of the extra-dimensional component of the gauge field. When the extra-dimensional component of the gauge field is identified with the inflaton, this structure leads to recursive cosmological particle productions.},

doi = {10.1088/1475-7516/2016/07/008},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 07,

volume = 2016,

place = {United States},

year = {Thu Jul 07 00:00:00 EDT 2016},

month = {Thu Jul 07 00:00:00 EDT 2016}

}