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An infrared renormalization group limit cycle in QCD.

Eric Braaten1, H-W Hammer

  • 1Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA.

Physical Review Letters
|October 4, 2003
PubMed
Summary

Small changes in quark masses could bring Quantum Chromodynamics (QCD) near a critical point for three-nucleon systems. This tuning could lead to universal properties in nuclear binding energies.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Effective Field Theories

Background:

  • Quantum Chromodynamics (QCD) describes the strong nuclear force.
  • The behavior of nuclear systems is sensitive to fundamental parameters like quark masses.

Purpose of the Study:

  • To investigate the impact of up and down quark masses on the three-nucleon system within QCD.
  • To explore the proximity of QCD to a critical renormalization group trajectory.

Main Methods:

  • Utilizing effective field theories to model the three-nucleon system.
  • Analyzing the renormalization group flow in QCD.

Main Results:

  • Small increases in up and down quark masses shift QCD towards a critical trajectory.
  • Tuning quark masses could lead to zero binding energies for the deuteron and its spin-singlet partner.
  • The triton system exhibits an accumulation of excited states at the three-nucleon threshold.

Conclusions:

  • QCD may be fine-tuned to a critical trajectory by adjusting quark masses.
  • This critical point is associated with universal behavior in nuclear binding energies, approaching a constant ratio.

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