nLab massive Yang-Mills theory

Idea

While Yang-Mills theory with a fundamental mass-term (as opposed to a dynamical mass via a Higgs mechanism) cannot be both renormalizable and unitary (Delbourgo-Twisk-Thompson 88), it does appear in certain effective field theories, notably in quantum hadrodynamics.

Related conceps

• Yang-Mills theory

• Higgs mechanism

References

General

• Robert Delbourgo, S. Twisk, George Thompson, Massive Yang-Mills theory: Renormalizability versus unitarity, Int. J. Mod. Phys. A 3 (1988) 435 (doi:10.1142/S0217751X88000163)

• U. Ellwanger, N. Wschebor, Massive Yang-Mills Theory in Abelian Gauges, Int. J. Mod. Phys. A18 (2003) 1595-1612 (arXiv:hep-th/0205057)

In quantum hadrodynamics

Equivalence between hidden local symmetry- and massive Yang-Mills theory-description of Skyrmion quantum hadrodynamics:

• Atsushi Hosaka, H. Toki, Wolfram Weise, Skyrme Solitons With Vector Mesons: Equivalence of the Massive Yang-Mills and Hidden Local Symmetry Scheme, 1988, Z. Phys. A332 (1989) 97-102 (spire:24079)

More on relation to Skyrmions:

• Marcelo Ipinza, Patricio Salgado-Rebolledo, Meron-like topological solitons in massive Yang-Mills theory and the Skyrme model (arXiv:2005.04920)