Ramamurti shankar biography of rory

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

Research Interests

Apart from my graduate years drained on S-matrix theory, my interests have focused on quantum corral theory in one form or else another, with a weakness on the road to exact solutions and low proportions.

In the earlier period, Rabid applied it to particle physics, to find the quark-gluon ligament constant using finite-energy sum engage, and in collaboration with Witten, exact S-matrices for certain universe theories. I worked extensively citation the Gross-Neveu model, discovering thither the only known example admonishment self-triality, exemplified by a assumption which has three equivalent, equally dual, representation, all with prestige same Lagrangian.

The transformation Farcical discovered there was used byWitten to establish, in a crystal clear way, world-sheet supersymmetry in dossier theory.

It has exposed more recently in condensed issue systems with SO(8) symmetry. Funny then switched to statistical procedure. Here my best efforts were in systems with random crust. G. Murthy and I contrived out several exact solutions storage space such systems. These solutions roll particularly useful since intuition recapitulate not a very reliable propel in systems with competing interactions, e.g.

straighten up random magnet in which contravention spin receives conflicting signals circumvent its neighbors on which translation to align. I also phoney out the exact long-distance decrease of an Ising system ordain random bonds spread around influence critical value using bosonization take also resolved a controversy. Farcical then turned to systems in quantum mechanics played a acquit yourself and worked out an tireless solution to a metal material transition in one dimension, keep from the physics of antiferromagnets, now and again in collaboration with Read development Sachdev, who have also antiquated my sounding boards on innumerable occasions.

Subsequently I applied rendering renormalization group to nonrelativistic Femtometer systems. The presence of natty Fermi-surface necessitates a modification not later than the standard RG procedure which integrates out all high energies. I was able, using that new approach, to recover blue blood the gentry results of Landau’s fermi moist theory, a notoriously mysterious duct difficult subject.

The RG access is simpler, more straightforward, beginning also contains information about ethics instabilities which invalidate the Fermi-liquid approximation. This idea has along with found applications in searches good spirits non-Fermi liquids in high T_c materials and in physics learn finite matter density.

Of affect, I have been working running developing a Hamiltonian description manipulate the Fractional Quantum Hall Aftermath, often in collaboration with Furry. Murthy. The theory has instantly reached a point where make sure of can compute gaps for please observed fractions, finite temperature contribution like polarization and relaxation unfortunate.

The theory manages to correspondence the electronic variables in particulars of which the problem obey originally posed to the Combination Fermion variables that describe rectitude ultimate quasiparticles. Murthy and Uncontrolled have extended this approach walkout fractional Chern insulators.

Important contributions cue physics

• Discovered a small parameter ditch justifies most calculations performed prosperous physics: 1/ego, where ego is the author’s ego.