23–28 Jun 2014
Columbia University
US/Eastern timezone

On curing the divergences in the quark number susceptibility

23 Jun 2014, 17:50
20m
501 NWC

501 NWC

Talk Nonzero Temperature and Density Nonzero temperature and Density

Speaker

Prof. Rajiv Gavai (Tata Institute of Fundamental Research)

Description

Quark number susceptibility on the lattice, obtained by merely adding a \mu N-term with \mu as the chemical potential and N as the conserved quark number, has a quadratic divergence in the cut-off a. We show that it is simply a faithful representation of the corresponding continuum result. While one can eliminate it in the free theory by suitably modifying the action, as is popularly done, it can simply be subtracted off as well. Computations of higher order susceptibilities, needed for estimating the location of the QCD critical point, then need a lot fewer number of quark propagators are at any order. We show that in the interacting theory this method of divergence removal works.

Primary author

Prof. Rajiv Gavai (Tata Institute of Fundamental Research)

Co-author

Dr Sayantan Sharma (Bielefeld University)

Presentation materials