# Lattice study of the conformal window in QCD-like theories.

@article{Appelquist2008LatticeSO, title={Lattice study of the conformal window in QCD-like theories.}, author={Thomas Appelquist and George Tamminga Fleming and Ethan T. Neil}, journal={Physical review letters}, year={2008}, volume={100 17}, pages={ 171607 } }

We study the extent of the conformal window for an SU(3) gauge theory with N{f} Dirac fermions in the fundamental representation. We present lattice evidence for 12<or=N{f}<or=16 that the infrared behavior is governed by a fixed point, while confinement and chiral symmetry breaking are present for N{f}<or=8.

## 191 Citations

### Exploring the conformal window: SU(2) gauge theory on the lattice

- Physics
- 2012

We study the SU(2) gauge theory on the lattice with different numbers of fermions in the fundamental representation of the gauge group to explore the gauge theory phase diagram. We find evidence for…

### Study of the scaling properties in SU(2) gauge theory with eight flavors

- Physics
- 2010

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point.…

### Strong dynamics, composite Higgs and the conformal window

- Physics
- 2016

We review recent progress in the lattice investigations of near-conformal non-abelian gauge theories relevant for dynamical symmetry breaking and model building of composite Higgs models. The…

### Exploration of SU(N(c)) gauge theory with many Wilson fermions at strong coupling

- Physics
- 2009

We explore aspects of the phase structure of SU(2) and SU(3) lattice gauge theories at strong coupling with many flavors N{sub f} of Wilson fermions in the fundamental representation. The…

### Lattice studies of quantum chromodynamics-like theories with many fermionic degrees of freedom

- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2011

An elementary introduction to the study of gauge theories coupled to fermions with many degrees of freedom, candidates for non-perturbative extensions of the Higgs sector of the standard model.

### Conformal phase transition: QCD like theories with a large number of fermion flavors and all that

- Physics
- 2015

The notion of the conformal phase transiton (CPhT) is discussed. As its realization, the dynamics with an infrared stable fixed point in the conformal window in QCD like theories with a relatively…

### Strong conformal dynamics at the LHC and on the lattice

- Physics
- 2009

Conformal technicolor is a paradigm for new physics at the LHC that may solve the problems of strong electroweak symmetry breaking for quark masses and precision electroweak data. We give explicit…

### Infrared evolution and phase structure of a gauge theory containing different fermion representations

- Physics
- 2010

We study the evolution of an asymptotically free vectorial SU(N) gauge theory from the ultraviolet to the infrared and the resultant phase structure in the general case in which the theory contains…

## References

SHOWING 1-10 OF 25 REFERENCES

### Nucl

- Phys. B359, 221
- 1991

### and U

- Wolff (ALPHA), Nucl. Phys. B576, 517
- 2000

### Behavior similar to quenched theory [ALPHA N.P

- Proc. Suppl. 106,
- 2002

### and L

- C. R. Wi jewardhana, Phys. Rev. D58, 105017
- 1998

### Nucl

- Phys.B504, 435
- 1997

### Phys

- Rev. Lett. 33, 244
- 1974

### Nucl

- Phys.B384, 168
- 1992

### Phys

- Rev. D35, 2531
- 1987

### Phys

- Rev.D69, 014507
- 2004