# Finiteness of the Coulomb gauge QCD perturbative effective action

## Abstract

At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for transverse external fields. The calculation results in a generalization of the Christ–Lee term which was inserted into the Hamiltonian.

- Authors:

- Vlaška 58, Zagreb (Croatia)
- DAMTP, University of Cambridge, Cambridge (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 22451173

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics

- Additional Journal Information:
- Journal Volume: 356; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACTION INTEGRAL; GRAPH THEORY; HAMILTONIANS; QUANTUM CHROMODYNAMICS

### Citation Formats

```
Andraši, A., E-mail: aandrasi@irb.hr, and Taylor, J.C., E-mail: jct@damtp.cam.ac.uk.
```*Finiteness of the Coulomb gauge QCD perturbative effective action*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.03.014.

```
Andraši, A., E-mail: aandrasi@irb.hr, & Taylor, J.C., E-mail: jct@damtp.cam.ac.uk.
```*Finiteness of the Coulomb gauge QCD perturbative effective action*. United States. doi:10.1016/J.AOP.2015.03.014.

```
Andraši, A., E-mail: aandrasi@irb.hr, and Taylor, J.C., E-mail: jct@damtp.cam.ac.uk. Fri .
"Finiteness of the Coulomb gauge QCD perturbative effective action". United States. doi:10.1016/J.AOP.2015.03.014.
```

```
@article{osti_22451173,
```

title = {Finiteness of the Coulomb gauge QCD perturbative effective action},

author = {Andraši, A., E-mail: aandrasi@irb.hr and Taylor, J.C., E-mail: jct@damtp.cam.ac.uk},

abstractNote = {At 2-loop order in the Coulomb gauge, individual Feynman graphs contributing to the effective action have energy divergences. It is proved that these cancel in suitable combinations of graphs. This has previously been shown only for transverse external fields. The calculation results in a generalization of the Christ–Lee term which was inserted into the Hamiltonian.},

doi = {10.1016/J.AOP.2015.03.014},

journal = {Annals of Physics},

issn = {0003-4916},

number = ,

volume = 356,

place = {United States},

year = {2015},

month = {5}

}

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