Abstract
After a brief introduction to some of the salient features, I present recent results of our group at SINP on two long-standing problems: (i) chiral and topological properties of lattice QCD with Wilson fermions, and (ii) non-perturbative gauge-fixing to address chiral gauge theories on lattice.
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References
L.H. Karsten, J. Smit, Lattice fermions: species doubling, chiral invariance, and the triangle anomaly. Nucl. Phys. B 183, 103 (1981)
M. Luscher, Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD. Comput. Phys. Commun. 165, 199 (2005)
A. Chowdhury, A.K. De, S. De Sarkar, A. Harindranath, J. Maiti, S. Mondal, A. Sarkar, Pion and nucleon in two flavour QCD with unimproved Wilson fermions. Nucl. Phys. B 871, 82 (2013)
A. Chowdhury, A.K. De, S. De Sarkar, A. Harindranath, S. Mondal, A. Sarkar, J. Maiti, Topological susceptibility in Lattice QCD with unimproved Wilson fermions. Phys. Lett. B 707, 228 (2012)
A. Chowdhury, A.K. De, A. Harindranath, J. Maiti, S. Mondal, Topological charge density correlator in Lattice QCD with two flavours of unimproved Wilson fermions. JHEP 1211, 029 (2012)
M. Muller-Preussker, Recent results on topology on the lattice. PoS LATTICE 2014, 003 (2014)
A. Chowdhury, A.K. De, S. De Sarkar, A. Harindranath, J. Maiti, S. Mondal, A. Sarkar, Exploring autocorrelations in two-flavour Wilson Lattice QCD using DD-HMC algorithm. Comput. Phys. Commun. 184, 1439 (2013)
A.K. De, M. Sarkar, Tricritical points in a compact \(U(1)\) lattice gauge theory at strong coupling. Phys. Rev. D 93(11), 114504 (2016)
A.K. De, M. Sarkar, Non-perturbatively gauge-fixed compact \(U(1)\) lattice gauge theory. JHEP 1710, 125 (2017)
Acknowledgements
I would like to thank A. Harindranath and our students A. Chowdhury, J. Maiti, S. Mondal, S. De Sarkar, A. Sarkar and M. Sarkar for the collaborations.
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De, A.K. Quantum Field Theories on Lattice: (i) QCD Topology, and (ii) Non-perturbative Gauge-Fixing. Few-Body Syst 59, 103 (2018). https://doi.org/10.1007/s00601-018-1423-6
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DOI: https://doi.org/10.1007/s00601-018-1423-6