# Low-energy constants from high-energy theorems

## Abstract

New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy constants of chiral perturbation theory are then related by a set of mixing angles. It is shown that vector meson dominance is a consequence of the fact that nature has chosen the lowest-dimensional nontrivial chiral representation. It is further shown that chiral symmetry places an upper bound on the mass of the lightest scalar in the hadron spectrum. (c) 2000 The American Physical Society.

- Authors:

- Department of Physics, University of Washington, Seattle, Washington 98195-1560 (United States)

- Publication Date:

- OSTI Identifier:
- 20216479

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. D, Particles Fields

- Additional Journal Information:
- Journal Volume: 61; Journal Issue: 11; Other Information: PBD: 1 Jun 2000; Journal ID: ISSN 0556-2821

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; QUANTUM CHROMODYNAMICS; PERTURBATION THEORY; VECTOR DOMINANCE MODEL; SU-2 GROUPS; LAGRANGIAN FIELD THEORY; SUM RULES; SYMMETRY BREAKING; THEORETICAL DATA

### Citation Formats

```
Beane, Silas R.
```*Low-energy constants from high-energy theorems*. United States: N. p., 2000.
Web. doi:10.1103/PhysRevD.61.116005.

```
Beane, Silas R.
```*Low-energy constants from high-energy theorems*. United States. doi:10.1103/PhysRevD.61.116005.

```
Beane, Silas R. Thu .
"Low-energy constants from high-energy theorems". United States. doi:10.1103/PhysRevD.61.116005.
```

```
@article{osti_20216479,
```

title = {Low-energy constants from high-energy theorems},

author = {Beane, Silas R.},

abstractNote = {New constraints on resonance saturation in chiral perturbation theory are investigated. These constraints arise because each consistent saturation scheme must map to a representation of the full QCD chiral symmetry group. The low-energy constants of chiral perturbation theory are then related by a set of mixing angles. It is shown that vector meson dominance is a consequence of the fact that nature has chosen the lowest-dimensional nontrivial chiral representation. It is further shown that chiral symmetry places an upper bound on the mass of the lightest scalar in the hadron spectrum. (c) 2000 The American Physical Society.},

doi = {10.1103/PhysRevD.61.116005},

journal = {Physical Review. D, Particles Fields},

issn = {0556-2821},

number = 11,

volume = 61,

place = {United States},

year = {2000},

month = {6}

}

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