# Chiral condensate and Dirac spectrum of one- and two-flavor QCD at nonzero $θ$-angle

@inproceedings{Kieburg2018ChiralCA, title={Chiral condensate and Dirac spectrum of one- and two-flavor QCD at nonzero \$$\theta$\$-angle}, author={Mario Kieburg and Jacobus J. M. Verbaarschot and Tilo Wettig}, year={2018} }

In previous work we showed that the chiral condensate of one-flavor QCD exhibits a Silver Blaze phenomenon when the quark mass crosses m = 0: the chiral condensate remains constant while the quark mass crosses the spectrum of the Dirac operator, which is dense on the imaginary axis. This behavior can be explained in terms of exponentially large cancellations between contributions from the zero modes and from the nonzero modes when the quark mass is negative. In these proceedings we show that a…

## 3 Citations

### Dirac spectrum and chiral condensate for QCD at fixed θ angle

- PhysicsPhysical Review D
- 2019

We analyze the mass dependence of the chiral condensate for QCD at nonzero $\theta$-angle and find that in general the discontinuity of the chiral condensate is not on the support of the Dirac…

### GUE-chGUE transition preserving chirality at finite matrix size

- Mathematics, PhysicsJournal of Physics A: Mathematical and Theoretical
- 2018

We study a random matrix model which interpolates between the singular values of the Gaussian unitary ensemble (GUE) and of the chiral Gaussian unitary ensemble (chGUE). This symmetry crossover is…

### Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model.

- PhysicsPhysical review letters
- 2018

A random matrix model which interpolates between the chiral Gaussian unitary ensemble and the Gaussianunitary ensemble while preserving chiral symmetry is considered, an Osborn-type two-matrix model which is equivalent to the elliptic ensemble but the singular value statistics rather than the complex eigenvalue statistics.

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