English

Low temperature limit of lattice QCD

High Energy Physics - Lattice 2012-12-04 v1 High Energy Physics - Phenomenology Nuclear Theory

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 NtN_t block-matrices. It is shown that eigenvalues of the reduced matrix follows a scaling law with regard to the temporal lattice size NtN_t. The NtN_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.

Keywords

Cite

@article{arxiv.1212.0072,
  title  = {Low temperature limit of lattice QCD},
  author = {K. Nagata and A. Nakamura and S. Motoki},
  journal= {arXiv preprint arXiv:1212.0072},
  year   = {2012}
}

Comments

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