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Related Experiment Videos

Solving pure yang-mills theory in dimensions.

Robert G Leigh1, Djordje Minic, Alexandr Yelnikov

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801, USA. rgleigh@uiuc.edu

Physical Review Letters
|June 29, 2006
PubMed
Summary

We computed the mass spectrum of spin zero glueballs in 2+1 dimensional pure Yang-Mills theory. Our novel ground state wave functional calculation shows excellent agreement with lattice data.

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Area of Science:

  • Theoretical physics
  • High-energy physics
  • Quantum field theory

Background:

  • Pure Yang-Mills theory describes the interactions of gluons, the fundamental particles of the strong nuclear force.
  • Glueballs are hypothetical particles composed solely of gluons.
  • Understanding glueball spectra is crucial for comprehending the non-perturbative regime of quantum chromodynamics.

Purpose of the Study:

  • To analytically compute the mass spectrum of spin zero glueballs.
  • To investigate the planar limit of pure Yang-Mills theory in 2+1 dimensions.
  • To introduce and utilize a new nontrivial ground state wave functional.

Main Methods:

  • Analytical computation within the planar limit of pure Yang-Mills theory.
  • Development and application of a novel ground state wave functional.

Related Experiment Videos

  • Determination of the mass spectrum via the zeroes of Bessel functions.

    • Main Results:

    • The mass spectrum of spin zero glueballs was successfully computed.
    • A new nontrivial ground state wave functional was derived.
    • The computed spectrum shows excellent agreement with large lattice data.

    Conclusions:

    • The analytical approach provides an accurate prediction for the glueball mass spectrum.
    • The novel wave functional is a key ingredient for this accurate prediction.
    • This work validates theoretical predictions against lattice simulations in 2+1 dimensions.