verbaarschot@tonic.physics.sunysb.edu Office: Physics Building, C142b Telephone: 631632 8123 (office)
Mailing Address: Department of Physics and Astronomy

Publications listed by SPIRES (127 articles) Publications NOT listed by SPIRES (27 articles) 
Lectures
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, 625 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
NonHermiticity 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
Workshop on New Directions in Nonperturbative QCD, ECT Trento, March 27  31, 2006
The Extra Strong Quark Gluon Plasma (ESQGP), Stony Brook, October 23, 2008
Penetrating Physics by Random Matrices, Cuernavaca, March 26, 2009
Random Matrices and
Integrability: From Theory to Applications, Yad Hashmona, March 2530, 2009
Jacobus Verbaarschot is a theoretical physicist interested in nonperturbative effects in Quantum Mechanics and Quantum Field Theory such as correlations of quantum spectra, classical solutions of nonlinear 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 150 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, 367438, 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, 215217, 1984
Th. Seligman, J.J.M. Verbaarschot and M.R. Zirnbauer, Spectral
Fluctuation Properties of Hamiltonian Systems,
J. Phys. A18, 27512770, 1985
J.J.M. Verbaarschot,
Axial
Symmetry of bound Baryon Number Two Solution of the Skyrme Model
Phys. Lett. B 195, 235239, 1987
M. Sporre, J.J.M. Verbaarschot and I. Zahed, Numerical
Solution of the three Anyon Problem
Phys. Rev. Lett. 67, 18131816, 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, 306320, 1993
J.J.M. Verbaarschot and I. Zahed,
Spectral
Density of the QCD Dirac operator near zero Virtuality
Phys. Rev. Lett. 70, 38523855, 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, 317344, 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