# Two-colour QCD at finite fundamental quark-number density and related theories

## Abstract

We are simulating SU(2) Yang-Mills theory with four flavours of dynamical quarks in the fundamental representation of SU(2) colour at finite chemical potential, p for quark number, as a model for QCD at finite baryon number density. In particular we observe that for p large enough this theory undergoes a phase transition to a state with a diquark condensate which breaks quark-number symmetry. In this phase we examine the spectrum of light scalar and pseudoscalar bosons and see evidence for the Goldstone boson associated with this spontaneous symmetry breaking. This theory is closely related to QCD at finite chemical potential for isospin, a theory which we are now studying for SU(3) colour.

- Authors:

- Publication Date:

- Research Org.:
- Argonne National Lab., IL (US)

- Sponsoring Org.:
- US Department of Energy (US)

- OSTI Identifier:
- 768625

- Report Number(s):
- ANL-HEP-CP-00-110

TRN: US0102914

- DOE Contract Number:
- W-31-109-ENG-38

- Resource Type:
- Conference

- Resource Relation:
- Conference: 18th International Symposium on Lattice Field Theory (Lattice 2000), Bangalore (IN), 08/17/2000--08/22/2000; Other Information: PBD: 15 Nov 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BARYON NUMBER; GOLDSTONE BOSONS; QUANTUM CHROMODYNAMICS; QUARKS; SYMMETRY BREAKING; YANG-MILLS THEORY; QUANTUM FLAVORDYNAMICS; PHASE TRANSFORMATIONS; PSEUDOSCALAR MESONS

### Citation Formats

```
Hands, S J, Kogut, J B, Morrison, S E, and Sinclair, D K.
```*Two-colour QCD at finite fundamental quark-number density and related theories*. United States: N. p., 2000.
Web.

```
Hands, S J, Kogut, J B, Morrison, S E, & Sinclair, D K.
```*Two-colour QCD at finite fundamental quark-number density and related theories*. United States.

```
Hands, S J, Kogut, J B, Morrison, S E, and Sinclair, D K. Wed .
"Two-colour QCD at finite fundamental quark-number density and related theories". United States. https://www.osti.gov/servlets/purl/768625.
```

```
@article{osti_768625,
```

title = {Two-colour QCD at finite fundamental quark-number density and related theories},

author = {Hands, S J and Kogut, J B and Morrison, S E and Sinclair, D K},

abstractNote = {We are simulating SU(2) Yang-Mills theory with four flavours of dynamical quarks in the fundamental representation of SU(2) colour at finite chemical potential, p for quark number, as a model for QCD at finite baryon number density. In particular we observe that for p large enough this theory undergoes a phase transition to a state with a diquark condensate which breaks quark-number symmetry. In this phase we examine the spectrum of light scalar and pseudoscalar bosons and see evidence for the Goldstone boson associated with this spontaneous symmetry breaking. This theory is closely related to QCD at finite chemical potential for isospin, a theory which we are now studying for SU(3) colour.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2000},

month = {11}

}

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