Properties of noncommutative axionic electrodynamics

Abstract

Using the gauge-invariant but path-dependent variables formalism, we compute the static quantum potential for noncommutative axionic electrodynamics, and find a radically different result than the corresponding commutative case. We explicitly show that the static potential profile is analogous to that encountered in both non-Abelian axionic electrodynamics and in Yang-Mills theory with spontaneous symmetry breaking of scale symmetry.Comment: 4 pages. To appear in PR

Finite axionic electrodynamics from a new non-commutative approach

“…Incidentally, it is of interest to notice that the above result comes from the constraints structure of the theory under consideration. Furthermore, in contrast to our previous analysis [20,21] via the Seiberg-Witten map, unexpected features are found. Interestingly, it should be noted that the above calculation of V involves no θ expansion at all.…”

“…[20,21,22]. Within this framework, we shall compute the expectation value of the energy operator H in the physical state |Φ , which we will denote by H Φ .…”

Aspects of finite electrodynamics inD= 3 dimensions

“…[29,30,31]. Within this framework, we shall compute the expectation value of the energy operator H in the physical state |Φ , which we will denote by H Φ .…”

Remarks on a Chern–simons-Like Coupling

“…The above Lagrangian arose after using ε µναβ F µν F αβ = 0 (which holds for a pure electric or a pure magnetic background). By introducing the notation ε µναβ F µν ≡ v αβ and ε ρσγδ F ρσ ≡ v γδ , expression (19) then becomes…”

“…To accomplish our analysis, we use the gauge-invariant but path-dependent variables formalism along the lines of Ref. 19 − 22, which is a physically-based alternative to the usual Wilson loop approach and a preliminary version of this work has appeared before [23].…”