Non-relativistic bound states at finite temperature (I): the hydrogen atom
High Energy Physics - Phenomenology
2009-11-13 v3 Nuclear Theory
Atomic Physics
Abstract
We illustrate how to apply modern effective field theory techniques and dimensional regularization to factorize the various scales which appear in non-relativistic bound states at finite temperature. We focus here on the simplest case: the hydrogen atom. We discuss in detail the interplay of the hard, soft and ultrasoft scales of the non-relativistic system at zero temperature with the additional scales induced at finite temperature. We also comment on the implications of our results for heavy quarkonium bound states in the quark gluon plasma.
Cite
@article{arxiv.0804.0691,
title = {Non-relativistic bound states at finite temperature (I): the hydrogen atom},
author = {Miguel Angel Escobedo and Joan Soto},
journal= {arXiv preprint arXiv:0804.0691},
year = {2009}
}
Comments
28 pages, 1 table. Numerical factors in formulas (23), (25), (26) and (28), as well as a few misprints elswhere corrected. Supersedes journal version