# Application of renormalization-group techniques to a homogeneous Bose gas at finite temperature

## Abstract

A homogeneous Bose gas is investigated at finite temperature using renormalization-group techniques. A nonperturbative flow equation for the effective potential is derived using sharp and smooth cutoff functions. Numerical solutions of these equations show that the system undergoes a second-order phase transition in accordance with universality arguments. We obtain the critical exponent {nu}=0.73. {copyright} {ital 1999} {ital The American Physical Society}

- Authors:

- Department of Physics, The Ohio State University, Columbus, Ohio 43210 (United States)

- Publication Date:

- OSTI Identifier:
- 357292

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review A

- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 2; Other Information: PBD: Aug 1999

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 66 PHYSICS; BOSE-EINSTEIN CONDENSATION; BOSE-EINSTEIN GAS; NUMERICAL SOLUTION; RENORMALIZATION; CRITICAL TEMPERATURE; PHASE TRANSFORMATIONS

### Citation Formats

```
Andersen, J.O., and Strickland, M.
```*Application of renormalization-group techniques to a homogeneous Bose gas at finite temperature*. United States: N. p., 1999.
Web. doi:10.1103/PhysRevA.60.1442.

```
Andersen, J.O., & Strickland, M.
```*Application of renormalization-group techniques to a homogeneous Bose gas at finite temperature*. United States. doi:10.1103/PhysRevA.60.1442.

```
Andersen, J.O., and Strickland, M. Sun .
"Application of renormalization-group techniques to a homogeneous Bose gas at finite temperature". United States. doi:10.1103/PhysRevA.60.1442.
```

```
@article{osti_357292,
```

title = {Application of renormalization-group techniques to a homogeneous Bose gas at finite temperature},

author = {Andersen, J.O. and Strickland, M.},

abstractNote = {A homogeneous Bose gas is investigated at finite temperature using renormalization-group techniques. A nonperturbative flow equation for the effective potential is derived using sharp and smooth cutoff functions. Numerical solutions of these equations show that the system undergoes a second-order phase transition in accordance with universality arguments. We obtain the critical exponent {nu}=0.73. {copyright} {ital 1999} {ital The American Physical Society}},

doi = {10.1103/PhysRevA.60.1442},

journal = {Physical Review A},

number = 2,

volume = 60,

place = {United States},

year = {1999},

month = {8}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.