# Loop corrections and the K-matrix formalism

## Abstract

We propose a new model that combines the rigor of full-fledged loop calculations in field theory with the simplicity of the K-matrix formalism for channel-coupling effects. We show, for one example, the equivalence of this new model, the renormalized Im-K-matrix (RIK) model, with a more standard approach in which nonperturbative loop corrections are calculated. In the RIK model an analytic continuation of the K-matrix formalism is combined with a renormalization procedure to arrive at a scattering amplitude that obeys low-energy theorems and is also an analytic function in the complex momentum plane.

- Authors:

- Kernfysisch Versneller Instituut, University of Groningen, 9747 AA Groningen (Netherlands)
- (RCNP), Osaka University, Ibaraki, Osaka 567-0047 (Japan)

- Publication Date:

- OSTI Identifier:
- 20995320

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.75.055203; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANALYTIC FUNCTIONS; CORRECTIONS; FIELD THEORIES; K MATRIX; LOW-ENERGY THEOREM; SCATTERING AMPLITUDES

### Citation Formats

```
Scholten, O., Tamenaga, S., Toki, H., and Research Center for Nuclear Physics.
```*Loop corrections and the K-matrix formalism*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVC.75.055203.

```
Scholten, O., Tamenaga, S., Toki, H., & Research Center for Nuclear Physics.
```*Loop corrections and the K-matrix formalism*. United States. doi:10.1103/PHYSREVC.75.055203.

```
Scholten, O., Tamenaga, S., Toki, H., and Research Center for Nuclear Physics. Tue .
"Loop corrections and the K-matrix formalism". United States.
doi:10.1103/PHYSREVC.75.055203.
```

```
@article{osti_20995320,
```

title = {Loop corrections and the K-matrix formalism},

author = {Scholten, O. and Tamenaga, S. and Toki, H. and Research Center for Nuclear Physics},

abstractNote = {We propose a new model that combines the rigor of full-fledged loop calculations in field theory with the simplicity of the K-matrix formalism for channel-coupling effects. We show, for one example, the equivalence of this new model, the renormalized Im-K-matrix (RIK) model, with a more standard approach in which nonperturbative loop corrections are calculated. In the RIK model an analytic continuation of the K-matrix formalism is combined with a renormalization procedure to arrive at a scattering amplitude that obeys low-energy theorems and is also an analytic function in the complex momentum plane.},

doi = {10.1103/PHYSREVC.75.055203},

journal = {Physical Review. C, Nuclear Physics},

number = 5,

volume = 75,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

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