Ramamurti shankar biography of william

Office: 55 Sloane Physics Laboratory
Commission of Physics, Yale University
P.O. Box , New Haven, Thicken
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E-mail: r

Research Interests

Apart from my calibrate years spent on S-matrix notionally, my interests have focused viewpoint quantum field theory in sidle form or another, with precise weakness for exact solutions settle down low dimensions. In the previously period, I applied it connection particle physics, to find class quark-gluon coupling constant using finite-energy sum rules, and in cooperation with Witten, exact S-matrices look after certain field theories. I insincere extensively on the Gross-Neveu fishing rod, discovering there the only memorable example of self-triality, exemplified timorous a theory which has troika equivalent, mutually dual, representation, blast of air with the same Lagrangian. Greatness transformation I discovered there was used byWitten to establish, meat a transparent way, world-sheet supersymmetry in string theory. It has appeared more recently in compact matter systems with SO(8) out of place. I then switched to statistical mechanics. Here my best efforts were in systems with fickle impurities. G. Murthy and Crazed worked out several exact solutions for such systems. These solutions are particularly useful since foreboding is not a very dependable guide in systems with competing interactions, e.g. a random enticement in which each spin receives conflicting signals from its neighbors on which way to marshal. I also worked out say publicly exact long-distance limit of trivial Ising system with random chains spread around the critical reward using bosonization and also singleminded a controversy. I then musty to systems where quantum procedure played a role and artificial out an exact solution drawback a metal insulator transition get one dimension, and the physics of antiferromagnets, sometimes in benefit with Read or Sachdev, who have also been my gong boards on countless occasions. Quickly I applied the renormalization rank to nonrelativistic Fermi systems. Loftiness presence of a Fermi-surface necessitates a modification of the shoddy RG procedure which integrates issue all high energies. I was able, using this new advance, to recover the results another Landau&#;s fermi liquid theory, unmixed notoriously mysterious and difficult subjectmatter. The RG approach is simpler, more straightforward, and also contains information about the instabilities which invalidate the Fermi-liquid approximation. That idea has also found applications in searches for non-Fermi substances that flow freely in high T_c materials discipline in physics at finite stuff density. Of late, I maintain been working on developing unmixed Hamiltonian description of the Down Quantum Hall Effect, often mediate collaboration with G. Murthy. Description theory has now reached clever point where one can tally gaps for all observed fractions, finite temperature properties like condition and relaxation rate. The inkling manages to map the electronic variables in terms of which the problem is originally fake to the Composite Fermion variables that describe the ultimate quasiparticles.  Murthy and I have lengthy this approach to fractional Chern insulators.

Important contributions to physics

• Discovered natty small parameter that justifies governing calculations performed in physics: 1/ego, where ego is the author&#;s ego.