2008/04/30 by Miguel Ángel Escobedo, Miguel Angel Escobedo, Joan Soto · 3 citations
Mathematics · Physics and Astronomy · #Bound state #Dimensional regularization #Factorization #High-Energy Particle Collisions Research #Hydrogen atom #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Quarkonium #Regularization (linguistics) #Renormalization #Upper and lower bounds #Zero temperature #hep-ph #nucl-th #physics.atom-ph
paper · pdf · doi:10.1103/physreva.78.032520
published as Phys. Rev. A 78, 032520 (2008) · 28 pages, 1 table. Numerical factors in formulas (23), (25), (26) and (28), as well as a few misprints elswhere corrected. Supersedes journal version
openalex publication_date 2008/09/19 · arxiv created 2008/10/08 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We illustrate how to apply modern effective field theory techniques and dimensional regularization to factorize the various scales that appear in nonrelativistic 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 nonrelativistic 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.