Non-relativistic bound states at finite temperature (I): the hydrogen atom

Details Non-relativistic bound states at finite temperature (I): the hydrogen atom Non-relativistic bound states at finite temperature (I): the hydrogen atom

2008-04-04

arxiv.org/abs/0804.0691v3

Phys. Rev. A 78, 032520 (2008)

Physics

High Energy Physics

High Energy Physics - Phenomenology

28 pages, 1 table. Numerical factors in formulas (23), (25), (26) and (28), as well as a few misprints elswhere corrected. Sup

Scientific paper

10.1103/PhysRevA.78.032520

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.

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