THE MOST GENERAL AND RENORMALIZABLE MAXIMAL ABELIAN GAUGE

The Most General and Renormalizable Maximal Abelian Gauge

We have constructed the most general gauge fixing term for the SU(2) Yang-Mills theory, which leaves the global U(1) gauge symmetry intact (i.e., the most general Maximal Abelian gauge). From the viewpoint of renormalizability, we point out the importance of an additional gauge fixing parameter that is not included in the ordinary gauge fixing term with the global SU(2) gauge symmetry. By requi...

Renormalizable Quantum Gauge General Relativity

The quantum gauge general relativity is proposed in the framework of quantum gauge theory of gravity. It is formulated based on gauge principle which states that the correct symmetry for gravitational interactions should be gravitational gauge symmetry. The gravitational gauge group is studied in the paper. Then gravitational gauge interactions of pure gravitational gauge field is studied. It i...

Renormalizable Abelian-projected effective gauge theory derived from Quantum Chromodynamics

Abstract We show that an effective Abelian gauge theory can be obtained as a renormalizable theory from QCD in the maximal Abelian gauge. The derivation improves the previous version which was obtained by one of the authors and was called the Abelianprojected effective gauge theory. This result supports a view that we can construct an effective Abelian gauge theory from QCD without losing chara...

Massive renormalizable Abelian gauge theory in 2+1 dimensions.

A Massive Renormalizable Abelian Gauge Theory in 2+1 Dimensions

The standard formulation of a massive Abelian vector field in 2 + 1 dimensions involves a Maxwell kinetic term plus a Chern-Simons mass term; in its place we consider a ChernSimons kinetic term plus a Stuekelberg mass term. In this latter model, we still have a massive vector field, but now the interaction with a charged spinor field is renormalizable (as opposed to super renormalizable). By ch...