# Configurational information approach to instantons and false vacuum decay in $D$ -dimensional spacetime

## Abstract

Here, we extend the use of configurational information measures (CIMs) to instantons and vacuum decay in arbitrary spatial dimensions. We find that both the complexity and the information content in the shape of instanton solutions have distinct regions of behavior in parameter space, discriminating between qualitative thin- and thick-wall profiles. For Euclidean spaces of dimension $D$, we show that for $D$ ≥ 6 instantons undergo a qualitative change of behavior from their lower-dimensional counterparts, indicating that $D$ = 6 is a critical dimension. We also find a scaling law relating the different CIMs to the rate of vacuum decay, thus connecting the stability of the vacuum to the informational complexity stored in the shape of the related critical bounce.

- Authors:

- Publication Date:

- Research Org.:
- Dartmouth College, Hanover, NH (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1474778

- Alternate Identifier(s):
- OSTI ID: 1483282

- Grant/Contract Number:
- SC0010386

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 5; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Gleiser, Marcelo, and Sowinski, Damian. Configurational information approach to instantons and false vacuum decay in D -dimensional spacetime. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.056026.
```

```
Gleiser, Marcelo, & Sowinski, Damian. Configurational information approach to instantons and false vacuum decay in D -dimensional spacetime. United States. doi:10.1103/PhysRevD.98.056026.
```

```
Gleiser, Marcelo, and Sowinski, Damian. Fri .
"Configurational information approach to instantons and false vacuum decay in D -dimensional spacetime". United States. doi:10.1103/PhysRevD.98.056026.
```

```
@article{osti_1474778,
```

title = {Configurational information approach to instantons and false vacuum decay in D -dimensional spacetime},

author = {Gleiser, Marcelo and Sowinski, Damian},

abstractNote = {Here, we extend the use of configurational information measures (CIMs) to instantons and vacuum decay in arbitrary spatial dimensions. We find that both the complexity and the information content in the shape of instanton solutions have distinct regions of behavior in parameter space, discriminating between qualitative thin- and thick-wall profiles. For Euclidean spaces of dimension D, we show that for D ≥ 6 instantons undergo a qualitative change of behavior from their lower-dimensional counterparts, indicating that D = 6 is a critical dimension. We also find a scaling law relating the different CIMs to the rate of vacuum decay, thus connecting the stability of the vacuum to the informational complexity stored in the shape of the related critical bounce.},

doi = {10.1103/PhysRevD.98.056026},

journal = {Physical Review D},

number = 5,

volume = 98,

place = {United States},

year = {2018},

month = {9}

}

DOI: 10.1103/PhysRevD.98.056026

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Works referencing / citing this record:

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