Low temperature limit of lattice QCD

2012/12/01 by K. Nagata, A. Nakamura, Nagata, K. +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.1212.0072

7 pages, 4figures. Proceedings of The 30 International Symposium on Lattice Field Theory, June 24-29, 2012, Cairns, Australia

arxiv created 2012/12/01 · arxiv updated 2012/12/04

Abstract

We study the low temperature limit of lattice QCD by using a reduction formula for a fermion determinant. The reduction formula, which is useful in finite density lattice QCD simulations, contains a reduced matrix defined as the product of N_t block-matrices. It is shown that eigenvalues of the reduced matrix follows a scaling law with regard to the temporal lattice size N_t. The N_t scaling law leads to two types of expressions of the fermion determinant in the low temperature limit; one is for small quark chemical potentials, and the other is for larger quark chemical potentials.

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