# Rolling classical scalar field in a linear potential coupled to a quantum field

## Abstract

We study the dynamics of a classical scalar field that rolls down a linear potential as it interacts bi-quadratically with a quantum field. We explicitly solve the dynamical problem by using the classical-quantum correspondence (CQC). Rolling solutions on the effective potential are shown to compare very poorly with the full solution. Spatially homogeneous initial conditions maintain their homogeneity and small inhomogeneities in the initial conditions do not grow.

- Authors:

- Publication Date:

- Research Org.:
- Arizona State Univ., Tempe, AZ (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)

- OSTI Identifier:
- 1575793

- Alternate Identifier(s):
- OSTI ID: 1575219; OSTI ID: 1594972

- Grant/Contract Number:
- SC0019470

- Resource Type:
- Published Article

- Journal Name:
- Physical Review D

- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 9; Journal ID: ISSN 2470-0010

- Publisher:
- American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Mukhopadhyay, Mainak, and Vachaspati, Tanmay. Rolling classical scalar field in a linear potential coupled to a quantum field. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.096018.
```

```
Mukhopadhyay, Mainak, & Vachaspati, Tanmay. Rolling classical scalar field in a linear potential coupled to a quantum field. United States. doi:10.1103/PhysRevD.100.096018.
```

```
Mukhopadhyay, Mainak, and Vachaspati, Tanmay. Mon .
"Rolling classical scalar field in a linear potential coupled to a quantum field". United States. doi:10.1103/PhysRevD.100.096018.
```

```
@article{osti_1575793,
```

title = {Rolling classical scalar field in a linear potential coupled to a quantum field},

author = {Mukhopadhyay, Mainak and Vachaspati, Tanmay},

abstractNote = {We study the dynamics of a classical scalar field that rolls down a linear potential as it interacts bi-quadratically with a quantum field. We explicitly solve the dynamical problem by using the classical-quantum correspondence (CQC). Rolling solutions on the effective potential are shown to compare very poorly with the full solution. Spatially homogeneous initial conditions maintain their homogeneity and small inhomogeneities in the initial conditions do not grow.},

doi = {10.1103/PhysRevD.100.096018},

journal = {Physical Review D},

number = 9,

volume = 100,

place = {United States},

year = {2019},

month = {11}

}

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DOI: 10.1103/PhysRevD.100.096018

DOI: 10.1103/PhysRevD.100.096018

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Cited by: 1 work

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