# More about chiral symmetry restoration at finite temperature in the planar limit

## Abstract

In the planar limit, in the deconfined phase, the Euclidean Dirac operator has a spectral gap around zero. We show that functions of eigenvalues close to the spectral edge, which are independent of common rescalings and shifts gauge configuration by gauge configuration, have distributions described by a Gaussian Hermitian matrix model. However, combinations of eigenvalues that are scale and shift invariant only on the average, do not match this matrix model.

- Authors:

- Publication Date:

- Research Org.:
- Thomas Jefferson National Accelerator Facility, Newport News, VA

- Sponsoring Org.:
- USDOE - Office of Energy Research (ER)

- OSTI Identifier:
- 908715

- Report Number(s):
- JLAB-THY-07-644; DOE/ER/40150-4283; hep-lat/0612006

Journal ID: ISSN 0370-2693; PYLBAJ; TRN: US0703750

- DOE Contract Number:
- AC05-84ER40150

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Phys.Lett.B; Journal Volume: 646

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRAL SYMMETRY; CONFIGURATION; DIRAC OPERATORS; EIGENVALUES; HERMITIAN MATRIX

### Citation Formats

```
R. Narayanan, and H. Neuberger.
```*More about chiral symmetry restoration at finite temperature in the planar limit*. United States: N. p., 2007.
Web. doi:10.1016/j.physletb.2006.12.075.

```
R. Narayanan, & H. Neuberger.
```*More about chiral symmetry restoration at finite temperature in the planar limit*. United States. doi:10.1016/j.physletb.2006.12.075.

```
R. Narayanan, and H. Neuberger. Thu .
"More about chiral symmetry restoration at finite temperature in the planar limit". United States.
doi:10.1016/j.physletb.2006.12.075. https://www.osti.gov/servlets/purl/908715.
```

```
@article{osti_908715,
```

title = {More about chiral symmetry restoration at finite temperature in the planar limit},

author = {R. Narayanan and H. Neuberger},

abstractNote = {In the planar limit, in the deconfined phase, the Euclidean Dirac operator has a spectral gap around zero. We show that functions of eigenvalues close to the spectral edge, which are independent of common rescalings and shifts gauge configuration by gauge configuration, have distributions described by a Gaussian Hermitian matrix model. However, combinations of eigenvalues that are scale and shift invariant only on the average, do not match this matrix model.},

doi = {10.1016/j.physletb.2006.12.075},

journal = {Phys.Lett.B},

number = ,

volume = 646,

place = {United States},

year = {Thu Mar 01 00:00:00 EST 2007},

month = {Thu Mar 01 00:00:00 EST 2007}

}

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