Renormalization Group Methods in Physics March 9, 2008

Organized jointly by the Institute For Theoretical Physics and Bolyai College.

Invited speakers

• Ö. Legeza (Research Institute for Solid State Physics and Optics, Theoretical Solid State Physics Department)


• J. Polónyi ( Laboratoire de Physique Théorique, Univ. Strasbourg)


• L. Sasvári (Department of Physics of Complex Systems, Eötvös University)

The topics covered include

• Brief survey of static and dynamic critical phenomena.


• Wilson’s formulation of the renormalization group approach to static critical phenomena: basic characteristics of the flow, fixed points, linear and nonlinear scaling fields, scaling of physical observables, universality.


• Extension of the renormalization group approach to dynamic critical phenomena: renormalization of stochastic equations of motion, the role of conservation rules and Poisson brackets.


• Reaction-diffusion processes: basic phenomena, renormalization group analyses of anomalous kinetics.


• RG in particle physics. Running couplings, beta functions, asymptotic freedom. Resummation of leading logs. Renormalizability. Connection between high energy physics and statistical mechanics.


• Appelquiz-Carazzone decoupling theorem. Effective field theories.


• RG in field theory. Functional RG, Wegner-Houghton equation. RG for the effective action. Symmetry breaking. The global renormalization group.


• Fermions. Applications to solid state physics. Superconductivity.


• Renormalization of composite operators. The classical limit.


• Density matrix renormalization group (DMRG) and its relation to quantum information theory (QIT).


• Quantum information generation of the RG procedure. DMRG and quantum data compression.


• DMRG in real and in momentum space. Applications in solid state physics. Quantum phase transitions.


• Application of DMRG to quantum chemistry. Molecular orbitals and QIT. Determination of spectra of excitations. The dynamically extended active space (DEAS) approach.


• Application of DMRG to dynamical and time-dependent phenomena. Extension to finite temperature and two-dimensions.

Timetable

Besides the lectures by the invited speakers, the course also includes separate discussion sessions. A mini-workshop is also planned, where the participants can talk about their own research, or interesting topics related to the main subjects can be briefly presented.

Conference information provided by konferenciakalauz.hu

Official Website: http://www.bolyai.elte.hu/dyn/eloadas/szakmai/mestermuhely/programok/200720082/takacs/