Jacobus Verbaarschot

Professor of Physics, Ph.D. 1982, University of Utrecht

NEWS: Workshop on New Directions in Nonperturbative QCD, ECT Trento, March 27 - 31, 2006


Office: Physics Building, C142b

Telephone: 631-632 8123 (office) 
                      631-751 0743 (home) 

Mailing Address:

Department of Physics and Astronomy
State University of New York
Stony Brook, NY 11794

Curriculum Vitae

Publications listed by SPIRES  (120 articles)

Publications NOT listed by SPIRES (27 articles)

Useful Links



J.J.M. Verbaarschot, QCD, Chiral Random Matrix Theory and Integrability
Lectures given at NATO Advanced Study Institute: Marie Curie Training Course: Applications of Random Matrices in Physics, Les Houches, France, 6-25 Jun 2004.

J.J.M. Verbaarschot, The Supersymmetric Method in Random Matrix Theory and Applications to QCD
AIP Conf. Proc. 744, 277, 2005

J.J.M. Verbaarschot Lectures on Topics in Random Matrix Theory

Conferences and Workshops organized

Non-Hermiticity and Disorder, Trieste August 23 - 26, 1999

QCD at Finite Baryon Density, Seattle, February 28 - June 2, 2000

James H. Simons Conference on Random Matrix Theory, Stony Brook, February 20 - 23, 2002

ECT* Workshop on Nonperturbative Aspects of QCD, Trento, July 9 - 19, 2002

Perspectives in Random Matrix Theory, Cuernavaca, August 1 - 31, 2004

Quantum Chaos in the 21st Century, Cuernavaca, August 16 - 21, 2004

Research Interests

Jacobus Verbaarschot is a theoretical physicist interested in non-perturbative effects in Quantum Mechanics and Quantum Field Theory such as correlations of quantum spectra, classical solutions of non-linear field theories, the spontaneous breaking of chiral symmetry, QCD at nonzero baryon density. He has been particularly fascinated by the interplay between chaos and symmetry in quantum systems. He has studied this problem both in simple systems with only two degrees of freedom and strongly interacting field theories with infinitely many degrees of freedom. The unifying feature in these studies has been the description of eigenvalue correlations in terms of Random Matrix Theory. He believes that a full understanding of a problem in mathematical physics requires a synergy between analytical and numerical methods which is reflected in many of his over 100 research articles. A significant fraction of his publications has been devoted to analysis of mathematical problems in Random Matrix Theory. He has summarized his work in several review articles and lecture notes.

Selected Publications

J.J.M. Verbaarschot, M.R. Zirnbauer and H.A. Weidenmueller, Grassmann Integrations and Stochastic Quantum Physics
Phys. Rep. 129, 367-438, 1985

Th. Seligman, J.J.M. Verbaarschot and M.R. Zirnbauer, Quantum Spectra and the Transition from regular to chaotic Motion
Phys. Rev. Lett. 53, 215-217, 1984

Th. Seligman, J.J.M. Verbaarschot and M.R. Zirnbauer, Spectral Fluctuation Properties of Hamiltonian Systems,
J. Phys. A18, 2751-2770, 1985

J.J.M. Verbaarschot, Axial Symmetry of bound Baryon Number Two Solution of the Skyrme Model
Phys. Lett. B 195, 235-239, 1987

M. Sporre, J.J.M. Verbaarschot and I. Zahed, Numerical Solution of the three Anyon Problem
Phys. Rev. Lett. 67, 1813-1816, 1991

E.V. Shuryak and J.J.M. Verbaarschot, Random Matrix Theory and Spectral Sum Rules for the Dirac Operator in QCD
Nucl. Phys. A560, 306-320, 1993

J.J.M. Verbaarschot and I. Zahed, Spectral Density of the QCD Dirac operator near zero Virtuality
Phys. Rev. Lett. 70, 3852-3855, 1993

J.J.M. Verbaarschot, Spectrum of the QCD Dirac Operator and chiral Random Matrix Theory

M.A. Halasz, A.D. Jackson, R.E. Shrock, M.A. Stephanov and J.J.M. Verbaarschot, On the Phase Diagram of QCD
Phys. Rev. D58, 096007, 1998

J.C. Osborn, D. Toublan and J.J.M. Verbaarschot, From Chiral Random Matrix Theory to Chiral Perturbation Theory
Nucl. Phys. B540, 317-344, 1999

K. Splittorff and J.J.M. Verbaarschot, The Replica Limit of the Toda Lattice Equation
Phys. Rev. Lett. 90, 041601, 2003

Recent Interests
Random Matrix Theory; Nonperturbative effects in QCD; QCD at finite baryon density

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