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

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.

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

References in corpus (3)

• Heavy quarkonium in any channel in resummed hot QCD
• A resummed perturbative estimate for the quarkonium spectral function in hot QCD
• Open questions in quarkonium and electromagnetic probes

Cited by in corpus (7)

• QCD Thermodynamics from the Lattice
• How to compute the thermal quarkonium spectral function from first principles?
• Reexamining Black-Body Shifts for Hydrogenlike Ions
• Static potentials for quarkonia at finite temperatures
• On quarkonium in an anisotropic quark gluon plasma
• Effective field theories for heavy quarkonium at finite temperature
• Properties of charmonia in a hot equilibrated medium