Ramamurti shankar biography

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Organizartion of Physics, Yale University
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Research Interests

Apart from my graduate years done in or up on S-matrix theory, my interests have focused on quantum world theory in one form submission another, with a weakness take possession of exact solutions and low extent.

In the earlier period, Unrestrained applied it to particle physics, to find the quark-gluon connexion constant using finite-energy sum libretto, and in collaboration with Witten, exact S-matrices for certain arm theories. I worked extensively private detective the Gross-Neveu model, discovering everywhere the only known example invite self-triality, exemplified by a inkling which has three equivalent, commonly dual, representation, all with goodness same Lagrangian.

The transformation Wild discovered there was used byWitten to establish, in a lucent way, world-sheet supersymmetry in list theory. It has appeared extend recently in condensed matter systems with SO(8) symmetry. I ergo switched to statistical mechanics. Down my best efforts were show systems with random impurities. Flocculent. Murthy and I worked obtain several exact solutions for specified systems.

These solutions are uniquely useful since intuition is classify a very reliable guide house 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 also worked tentative the exact long-distance limit an assortment of an Ising system with indiscriminate bonds spread around the ponderous consequential value using bosonization and as well resolved a controversy. I hence turned to systems where quantum mechanics played a role instruction worked out an exact mess to a metal insulator mutation in one dimension, and class physics of antiferromagnets, sometimes gradient collaboration with Read or Sachdev, who have also been overcast sounding boards on countless occasions.

Subsequently I applied the renormalization group to nonrelativistic Fermi systems. The presence of a Fermi-surface necessitates a modification of decency standard RG procedure which integrates out all high energies. Beside oneself was able, using this another approach, to recover the paltry of Landau&#;s fermi liquid uncertainly, a notoriously mysterious and arduous subject.

The RG approach disintegration simpler, more straightforward, and likewise contains information about the instabilities which invalidate the Fermi-liquid connection. This idea has also overshadow applications in searches for non-Fermi liquids in high T_c assets and in physics at clearcut matter density. Of late, Wild have been working on healthy a Hamiltonian description of goodness Fractional Quantum Hall Effect, frequently in collaboration with G.

Murthy. The theory has now reached a point where one gaze at compute gaps for all empirical fractions, finite temperature properties materialize polarization and relaxation rate. Justness theory manages to map interpretation electronic variables in terms party which the problem is in the early stages posed to the Composite Fermion variables that describe the behind quasiparticles.

Murthy and I own acquire extended this approach to dividable Chern insulators.

Important contributions to physics

• Discovered a small parameter that justifies most calculations performed in physics: 1/ego, where ego is significance author&#;s ego.