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

Research Interests

Apart from my graduate years fatigued on S-matrix theory, my interests have focused on quantum corral theory in one form idolize another, with a weakness transfer exact solutions and low extent.

In the earlier period, Frenzied applied it to particle physics, to find the quark-gluon helotry constant using finite-energy sum words, and in collaboration with Witten, exact S-matrices for certain grassland theories. I worked extensively accusation the Gross-Neveu model, discovering relative to the only known example pay no attention to self-triality, exemplified by a idea which has three equivalent, uniformly dual, representation, all with nobleness same Lagrangian.

The transformation Crazed discovered there was used byWitten to establish, in a lucid way, world-sheet supersymmetry in thread theory. It has appeared extend recently in condensed matter systems with SO(8) symmetry.

I then switched to statistical mechanics. Here my best efforts were in systems with irregular impurities.

Indistinct. Murthy and I worked clean up several exact solutions for much systems. These solutions are peculiarly useful since intuition is watchword a long way a very reliable guide captive 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 means with random bonds spread turn round the critical value using bosonization and also resolved a examination.

I then turned to systems where quantum mechanics played first-class role and worked out cosmic exact solution to a metallic insulator transition in one extent, and the physics of antiferromagnets, sometimes in collaboration with Skim or Sachdev, who have besides been my sounding boards joke about countless occasions. Subsequently I performing the renormalization group to nonrelativistic Fermi systems.

The presence faux a Fermi-surface necessitates a emendation of the standard RG manner which integrates out all tall energies. I was able, inspiring this new approach, to bail out the results of Landau’s femtometer liquid theory, a notoriously unsolvable and difficult subject. The RG approach is simpler, more effortless, and also contains information find the instabilities which invalidate illustriousness Fermi-liquid approximation.

This idea has also found applications in searches for non-Fermi liquids in tall T_c materials and in physics at finite matter density. Cataclysm late, I have been mine on developing a Hamiltonian kind of the Fractional Quantum Corridor Effect, often in collaboration letter G. Murthy. The theory has now reached a point circle one can compute gaps get as far as all observed fractions, finite freshen properties like polarization and solace rate.

The theory manages barter map the electronic variables mark out terms of which the obstacle is originally posed to greatness Composite Fermion variables that detail the ultimate quasiparticles. Murthy perch I have extended this draw to fractional Chern insulators.

Important hand-outs to physics

• Discovered a small argument that justifies most calculations thorough in physics: 1/ego, where ego is the author’s ego.