The Hamiltonian Approach to Yang-Mills (2+1): An Update and Corrections to String Tension

6th International Symposium on Quantum Theory and Symmetries

Nair, V.P.^1

Physics Department, City College of the CUNY, New York, NY 10031, United States^1

关键词: Coupling constants;    Effective theories;    Expectation values;    Hamiltonian approach;    Kinematical factors;    Perturbation series;    Systematic expansion;    Yang-Mills theory;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012039/pdf
DOI  :  10.1088/1742-6596/462/1/012039

来源: IOP

【 摘 要 】

Yang-Mills theories in 2+1 (or 3) dimensions are interesting as nontrivial gauge theories in their own right and as effective theories of QCD at high temperatures. I shall review the basics of our Hamiltonian approach to this theory, emphasizing symmetries with a short update on its status. We will show that the calculation of the vacuum wave function for Yang-Mills theory in 2+1 dimensions is in the lowest order of a systematic expansion. Expectation values of observables can be calculated using an effective interacting chiral boson theory, which also leads to a natural expansion as a double series in the coupling constant (to be interpreted within a resummed perturbation series) and a particular kinematical factor. The calculation of the first set of corrections in this expansion shows that the string tension is modified by about -0.3% to -2.8% compared to the lowest order value. This is in good agreement with lattice estimates.