### Abstract

The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external inhomogeneous magnetic field is established. The two-derivative effective action of spinor and scalar QED in a static magnetic background at T ≠ 0 is derived.

Original language | English (US) |
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Pages (from-to) | 313-318 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 441 |

Issue number | 1-4 |

State | Published - Nov 26 1998 |

Externally published | Yes |

### Fingerprint

### Keywords

- Quantum electrodynamics
- Thermal effective action
- Worldline method

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**One-loop finite temperature effective potential in QED in the worldline approach.** / Shovkovy, Igor.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 441, no. 1-4, pp. 313-318.

}

TY - JOUR

T1 - One-loop finite temperature effective potential in QED in the worldline approach

AU - Shovkovy, Igor

PY - 1998/11/26

Y1 - 1998/11/26

N2 - The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external inhomogeneous magnetic field is established. The two-derivative effective action of spinor and scalar QED in a static magnetic background at T ≠ 0 is derived.

AB - The one-loop finite temperature effective potential of QED in an external electromagnetic field is obtained using the worldline method. The general structure of the temperature dependent part of the effective action in an arbitrary external inhomogeneous magnetic field is established. The two-derivative effective action of spinor and scalar QED in a static magnetic background at T ≠ 0 is derived.

KW - Quantum electrodynamics

KW - Thermal effective action

KW - Worldline method

UR - http://www.scopus.com/inward/record.url?scp=0347570052&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0347570052&partnerID=8YFLogxK

M3 - Article

VL - 441

SP - 313

EP - 318

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-4

ER -