# 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 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 recently 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.

### Selected Grants

Lattice and Effective Field Theory Studies of Quantum Chromodynamics awarded by Department of Energy (Co-Principal Investigator). 2005 to 2020

Coherence and Correlations in Electronic Nanostructures awarded by National Science Foundation (Co-Principal Investigator). 2005 to 2009

Coherence and Correlation in Electronic Nanostructures awarded by National Science Foundation (Co-Principal Investigator). 2001 to 2006

Toward the Chiral Limit in QCD awarded by Department of Energy (Principal Investigator). 2003 to 2005

Quantum Chromodynamics and Nuclear Physics at Extreme Energy Density awarded by Department of Energy (Co-Principal Investigator). 1995 to 2005

Singh, H, and Chandrasekharan, S. "Few-body physics on a spacetime lattice in the worldline approach." *Physical Review D* 99.7 (April 1, 2019).
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Banerjee, D, Chandrasekharan, S, and Orlando, D. "Conformal Dimensions via Large Charge Expansion." *Physical Review Letters* 120.6 (February 2018): 061603-null.
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Ayyar, V, and Chandrasekharan, S. "Generating a nonperturbative mass gap using Feynman diagrams in an asymptotically free theory." *Physical Review D* 96.11 (December 1, 2017).
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Huffman, E, and Chandrasekharan, S. "Fermion bag approach to Hamiltonian lattice field theories in continuous time." *Physical Review D* 96.11 (December 1, 2017).
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Hann, CT, Huffman, E, and Chandrasekharan, S. "Solution to the sign problem in a frustrated quantum impurity model." *Annals of Physics* 376 (January 2017): 63-75.
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Huffman, E, and Chandrasekharan, S. "Solution to sign problems in models of interacting fermions and quantum spins." *Physical review. E* 94.4-1 (October 19, 2016): 043311-.
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Ayyar, V, and Chandrasekharan, S. "Fermion masses through four-fermion condensates." *Journal of High Energy Physics* 2016.10 (October 1, 2016).
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Huffman, E, Banerjee, D, Chandrasekharan, S, and Wiese, UJ. "Real-time evolution of strongly coupled fermions driven by dissipation." *Annals of Physics* 372 (September 1, 2016): 309-319.
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Ayyar, V, and Chandrasekharan, S. "Origin of fermion masses without spontaneous symmetry breaking." *Physical Review D* 93.8 (April 20, 2016).
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Ayyar, V, and Chandrasekharan, S. "Massive fermions without fermion bilinear condensates." *Physical Review D Particles, Fields, Gravitation and Cosmology* 91.6 (March 30, 2015).
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## Pages

Ayyar, V, and Chandrasekharan, S. "Generating a mass gap using Feynman diagrams in an asymptotically free theory." March 26, 2018. Full Text

Chandrasekharan, S. "Fermion bags, topology and index theorems." January 1, 2016.

Chandrasekharan, S. "Quantum critical behavior with massless staggered fermions in three dimensions." January 1, 2013.

Cecile, DJ, and Chandrasekharan, S. "-Resonance and convergence of chiral perturbation theory." January 1, 2008.