# Conformal or walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions

## Abstract

Strongly coupled gauge systems with many fermions are important in many phenomenological models. I use the 2-lattice matching Monte Carlo renormalization group method to study the fixed point structure and critical indexes of SU(3) gauge models with 8 and 12 flavors of fundamental fermions. With an improved renormalization group block transformation I am able to connect the perturbative and confining regimes of the N{sub f}=8 flavor system, thus verifying its QCD-like nature. With N{sub f}=12 flavors the data favor the existence of an infrared fixed point and conformal phase, though the results are also consistent with very slow walking. I measure the anomalous mass dimension in both systems at several gauge couplings and find that they are barely different from the free-field value.

- Authors:

- Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)

- Publication Date:

- OSTI Identifier:
- 21410051

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 82; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.82.014506; (c) 2010 The American Physical Society

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COUPLING; FERMIONS; FLAVOR MODEL; GAUGE INVARIANCE; MASS; MONTE CARLO METHOD; QUANTUM CHROMODYNAMICS; RENORMALIZATION; SIMULATION; STRONG-COUPLING MODEL; SU-3 GROUPS; TRANSFORMATIONS; CALCULATION METHODS; COMPOSITE MODELS; FIELD THEORIES; INVARIANCE PRINCIPLES; LIE GROUPS; MATHEMATICAL MODELS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL; SU GROUPS; SYMMETRY GROUPS

### Citation Formats

```
Hasenfratz, Anna.
```*Conformal or walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions*. United States: N. p., 2010.
Web. doi:10.1103/PHYSREVD.82.014506.

```
Hasenfratz, Anna.
```*Conformal or walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions*. United States. doi:10.1103/PHYSREVD.82.014506.

```
Hasenfratz, Anna. Thu .
"Conformal or walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions". United States. doi:10.1103/PHYSREVD.82.014506.
```

```
@article{osti_21410051,
```

title = {Conformal or walking? Monte Carlo renormalization group studies of SU(3) gauge models with fundamental fermions},

author = {Hasenfratz, Anna},

abstractNote = {Strongly coupled gauge systems with many fermions are important in many phenomenological models. I use the 2-lattice matching Monte Carlo renormalization group method to study the fixed point structure and critical indexes of SU(3) gauge models with 8 and 12 flavors of fundamental fermions. With an improved renormalization group block transformation I am able to connect the perturbative and confining regimes of the N{sub f}=8 flavor system, thus verifying its QCD-like nature. With N{sub f}=12 flavors the data favor the existence of an infrared fixed point and conformal phase, though the results are also consistent with very slow walking. I measure the anomalous mass dimension in both systems at several gauge couplings and find that they are barely different from the free-field value.},

doi = {10.1103/PHYSREVD.82.014506},

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

number = 1,

volume = 82,

place = {United States},

year = {Thu Jul 01 00:00:00 EDT 2010},

month = {Thu Jul 01 00:00:00 EDT 2010}

}