# Shailesh Chandrasekharan

### **Professor of Physics**

### Overview

Prof. Chandrasekharan is interested in understanding quantum field theories non-perturbatively from first principles calculations. His research focuses on lattice formulations of these theories with emphasis on strongly correlated fermionic systems of interest in condensed matter, particle and nuclear physics. He develops novel Monte-Carlo algorithms to study these problems. He is particularly excited about solutions to the notoriously difficult sign problem that haunts quantum systems containing fermions and gauge fields. He has proposed an idea called the fermion bag approach, using which he has been able to solve numerous sign problems that seemed unsolvable earlier. Using various algorithmic advances over the past decade, he is interested in understanding the properties of quantum critical points containing interacting fermions. Some of his recent publications can be found here. Recently he is exploring how one can use quantum computers to solve quantum field theories.

Lee, J. W., et al. “Quantum Monte Carlo study of disordered fermions.” *Physical Review B Condensed Matter and Materials Physics*, vol. 72, no. 2, July 2005. *Scopus*, doi:10.1103/PhysRevB.72.024525.
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Yoo, Jaebeom, et al. “Multilevel algorithm for quantum-impurity models.” *Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics*, vol. 71, no. 3 Pt 2B, Mar. 2005, p. 036708. *Epmc*, doi:10.1103/physreve.71.036708.
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Chandrasekharan, Shailesh, and Costas G. Strouthos. “Failure of mean field theory at large N.” *Physical Review Letters*, vol. 94, no. 6, Feb. 2005, p. 061601. *Epmc*, doi:10.1103/physrevlett.94.061601.
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Yoo, J., et al. “Cluster algorithms for quantum impurity models and mesoscopic Kondo physics.” *Physical Review B Condensed Matter and Materials Physics*, vol. 71, no. 20, Jan. 2005. *Scopus*, doi:10.1103/PhysRevB.71.201309.
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Chandrasekharan, S., and F. J. Jiang. “Chiral limit of 2-color QCD at strong couplings.” *Proceedings of Science*, vol. 20, Jan. 2005.

Chandrasekharan, S., and U. J. Wiese. “An introduction to chiral symmetry on the lattice.” *Progress in Particle and Nuclear Physics*, vol. 53, no. 2, Oct. 2004, pp. 373–418. *Scopus*, doi:10.1016/j.ppnp.2004.05.003.
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Brower, R., et al. “D-theory: Field quantization by dimensional reduction of discrete variables.” *Nuclear Physics B*, vol. 693, no. 1–3, Aug. 2004, pp. 149–75. *Scopus*, doi:10.1016/j.nuclphysb.2004.06.007.
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Chandrasekharan, S., et al. “Lattice theories with nonlinearly realized chiral symmetry.” *Nuclear Physics B Proceedings Supplements*, vol. 129–130, Jan. 2004, pp. 507–09. *Scopus*, doi:10.1016/S0920-5632(03)02624-0.
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Chandrasekharan, S. “Chiral and critical in strong coupling QCD.” *Nuclear Physics B Proceedings Supplements*, vol. 129–130, Jan. 2004, pp. 578–80. *Scopus*, doi:10.1016/S0920-5632(03)02647-1.
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Chandrasekharan, S., and C. G. Strouthos. “Connecting lattice QCD with chiral perturbation theory at strong coupling.” *Physical Review D Particles, Fields, Gravitation and Cosmology*, vol. 69, no. 9, Jan. 2004, p. 5. *Scopus*, doi:10.1103/PhysRevD.69.091502.
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