# The Yang–Mills vacuum wave functional thirty-five years later

@article{Olejnk2015TheYV, title={The Yang–Mills vacuum wave functional thirty-five years later}, author={{\vS}tefan Olejnı́k}, journal={arXiv: High Energy Physics - Lattice}, year={2015}, volume={631}, pages={012057} }

Beside anniversaries of the important discoveries celebrated at the DISCRETE 2014 Symposium, there is another worth to mention: The first paper attempting direct calculation of the Yang–Mills vacuum wave functional was published by Greensite in 1979. I review some recent results of the determination of the vacuum wave functional in Monte Carlo simulations of SU(2) lattice gauge theory.

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SchrÖdinger Wave Functional in Quantum Yang–Mills Theory from Precanonical Quantization

- MathematicsReports on Mathematical Physics
- 2018

## References

SHOWING 1-10 OF 34 REFERENCES

On the vacuum wavefunction and string tension of Yang-Mills theories in (2+1) dimensions

- Physics
- 1998

Yang-Mills vacuum wave functional in three dimensions at weak coupling

- Physics
- 2013

We compute the Yang-Mills vacuum wave functional in three dimensions at weak coupling with O(e^2) precision. We use two different methods to solve the Schroedinger functional equation. One of them…

The regularization and determination of the Yang–Mills vacuum wave functional in three dimensions at O(e2)

- Physics
- 2014

Glueball spectrum of pure Yang-Mills theory in 2+1 dimensions

- Physics
- 2007

We present details of the analytic computation of the spectrum of lowest spin glueballs in pure Yang-Mills theory in 2 + 1 dimensions. The new ingredient is provided by the conjectured new nontrivial…

Numerical study of the Yang-Mills vacuum wave functional in D =3+1 dimensions

- Physics
- 2014

Ratios of the true Yang-Mills vacuum wavefunctional, evaluated on any two field configurations out of a finite set of configurations, can be obtained from lattice Monte Carlo simulations. The method…

Solving pure yang-mills theory in dimensions.

- PhysicsPhysical review letters
- 2006

The spectrum of the spin zero glueballs in the planar limit of pure Yang-Mills theory in 2 + 1 dimensions is computed using a new nontrivial form of the ground state wave functional, and the agreement with large lattice data is excellent.

VACUUM WAVE FUNCTIONAL OF PURE YANG-MILLS THEORY AND DIMENSIONAL REDUCTION

- Physics
- 1996

Working in a Hamiltonian formulation with Ao = 0 gauge and also in a path integral formulation, we show that the vacuum wave functional of the four-dimensional pure Yang Mills theory has the form of…

Analytic calculation of the vacuum wave function for (2+1)-dimensional SU(2) lattice gauge theory.

- PhysicsPhysical review. D, Particles and fields
- 1994

The long wavelength vacuum wave function of (2+1)-dimensional SU(2) lattice gauge theory is calculated by the method of truncated eigenvalue equation and shows good scaling behavior extending to the deep weak coupling region.