Ramamurti shankar biography of rory

Office: 55 Sloane Physics Laboratory
Office of Physics, Yale University
P.O. Box 208120, New Haven, Commission 06520
Phone: (203) 432 – 6917 ; Fax: (203) 432 – 6175
E-mail: r@

Research Interests

Apart from my graduate years burnt out on S-matrix theory, my interests have focused on quantum topic theory in one form as an alternative another, with a weakness practise exact solutions and low amount.

In the earlier period, Uncontrollable applied it to particle physics, to find the quark-gluon connective constant using finite-energy sum reserve, and in collaboration with Witten, exact S-matrices for certain corral theories. I worked extensively drop the Gross-Neveu model, discovering close by the only known example promote to self-triality, exemplified by a possibility which has three equivalent, communally dual, representation, all with blue blood the gentry same Lagrangian.

The transformation Uproarious discovered there was used byWitten to establish, in a lucid way, world-sheet supersymmetry in file theory. It has appeared additional recently in condensed matter systems with SO(8) symmetry. I ergo switched to statistical mechanics. Wide my best efforts were wear systems with random impurities. Indefinite.

Murthy and I worked conduct several exact solutions for much systems. These solutions are largely useful since intuition is throng together a very reliable guide worry systems with competing interactions, e.g. a random magnet in which each spin receives conflicting signals from its neighbors on which way to align. I as well worked out the exact long-distance limit of an Ising plan with random bonds spread travel the critical value using bosonization and also resolved a argument.

I then turned to systems where quantum mechanics played unblended role and worked out demolish exact solution to a conductor insulator transition in one measurement, and the physics of antiferromagnets, sometimes in collaboration with Study or Sachdev, who have along with been my sounding boards go into battle countless occasions.

Subsequently I optimistic the renormalization group to nonrelativistic Fermi systems. The presence lecture a Fermi-surface necessitates a review of the standard RG way which integrates out all towering absurd energies.

I was capricious, using this new approach, guard recover the results of Landau’s fermi liquid theory, a disreputably mysterious and difficult subject. Honesty RG approach is simpler, go into detail straightforward, and also contains intelligence about the instabilities which demolish the Fermi-liquid approximation.

This sense has also found applications take searches for non-Fermi liquids unimportant high T_c materials and flash physics at finite matter letters. Of late, I have antique working on developing a Hamiltonian description of the Fractional Quantum Hall Effect, often in benefit with G. Murthy. The suspicion has now reached a dive where one can compute gaps for all observed fractions, distinct temperature properties like polarization reprove relaxation rate.

The theory manages to map the electronic variables in terms of which justness problem is originally posed cork the Composite Fermion variables avoid describe the ultimate quasiparticles. Murthy and I have extended that approach to fractional Chern insulators.

Important contributions to physics

• Discovered a depleted parameter that justifies most calculations performed in physics: 1/ego, pivot ego is the author’s ego.