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Faster method of computation of lattice quark number susceptibilities
Phys. Rev. D 85, 054508 – Published 21 March, 2012
DOI: https://doi.org/10.1103/PhysRevD.85.054508
Abstract
We compute the quark number susceptibilities in two flavor QCD for staggered fermions by adding the chemical potential as a Lagrange multiplier for the point-split number density term. Since a lesser number of quark propagators is required at any order, this method leads to faster computations. We propose a subtraction procedure to remove the inherent undesired lattice terms and check that it works well by comparing our results with the existing ones where the elimination of these terms is analytically guaranteed. We also show that the ratios of susceptibilities are robust, opening a door for better estimates of location of the QCD critical point through the computation of the tenth and twelfth order baryon number susceptibilities without significant additional computational overload.
Article Text
References (17)
- B. Mohanty (STAR Collaboration), J. Phys. G 38, 124 023 (2011).
- V. Koch, arXiv:0810.2520.
- M. A. Stephanov, K. Rajagopal, and E. V. Shuryak, Phys. Rev. D 60, 114028 (1999); Phys. Rev. Lett. 81, 4816 (1998).
- C. R. Allton et al., Phys. Rev. D 66, 074507 (2002).
- C. R. Allton et al., Phys. Rev. D 68, 014507 (2003).
- R. V. Gavai and S. Gupta, Phys. Rev. D 68, 034506 (2003).
- R. V. Gavai and S. Gupta, Phys. Rev. D 71, 114014 (2005).
- R. V. Gavai and S. Gupta, Phys. Rev. D 78, 114503 (2008).
- P. Hasenfratz and F. Karsch, Phys. Lett. B 125, 308 (1983).
- J. Kogut et al., Nucl. Phys. B225, 93 (1983).
- N. Bilic and R. V. Gavai, Z. Phys. C 23, 77 (1984).
- R. V. Gavai, Phys. Rev. D 32, 519 (1985).
- R. V. Gavai and S. Sharma, Phys. Rev. D 81, 034501 (2010).
- R. Narayanan and S. Sharma, J. High Energy Phys. 10 (2011) 151.
- R. V. Gavai and S. Sharma, arXiv:1111.5944.
- S. Gupta, Proc. Sci., CPOD 2009 (2009) 025.
- R. V. Gavai and S. Gupta, Phys. Lett. B 696, 459 (2011).