Divergences in the quark number susceptibility: The origin and a cure

Gavai RV, Sharma S (2015)
Physics Letters B 749: 8-13.

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Journal Article | Original Article | Published | English
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Abstract
Quark number susceptibility on the lattice, obtained by merely adding a $\muN$ term with $\mu$ as the chemical potential and $N$ as the conserved quarknumber, has a quadratic divergence in the cut-off $a$. We show that it issimply a faithful representation of the corresponding continuum result. Whileone can eliminate it in the free theory by suitably modifying the action, as ispopularly done, it can simply be subtracted off as well. Computations of higherorder susceptibilities, needed for estimating the location of the QCD criticalpoint, then need a lot fewer number of quark propagators at any order. We showthat in the interacting theory this method of divergence removal works.
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Open Access publishing charge funded by SCOAP$^3$ – Sponsoring Consortium for Open Access Publishing in Particle Physics and Bielefeld University.
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Gavai RV, Sharma S. Divergences in the quark number susceptibility: The origin and a cure. Physics Letters B. 2015;749:8-13.
Gavai, R. V., & Sharma, S. (2015). Divergences in the quark number susceptibility: The origin and a cure. Physics Letters B, 749, 8-13. doi:10.1016/j.physletb.2015.07.036
Gavai, R. V., and Sharma, S. (2015). Divergences in the quark number susceptibility: The origin and a cure. Physics Letters B 749, 8-13.
Gavai, R.V., & Sharma, S., 2015. Divergences in the quark number susceptibility: The origin and a cure. Physics Letters B, 749, p 8-13.
R.V. Gavai and S. Sharma, “Divergences in the quark number susceptibility: The origin and a cure”, Physics Letters B, vol. 749, 2015, pp. 8-13.
Gavai, R.V., Sharma, S.: Divergences in the quark number susceptibility: The origin and a cure. Physics Letters B. 749, 8-13 (2015).
Gavai, Rajiv V., and Sharma, Sayantan. “Divergences in the quark number susceptibility: The origin and a cure”. Physics Letters B 749 (2015): 8-13.
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