Confinement effects from interacting chromo-magnetic and axion fields

Abstract

Abstract. We study a non-Abelian gauge theory with a pseudo scalar coupling φ Tr F * µν F µν in the case where a constant chromo-electric, or chromo-magnetic, strength expectation value is present. We compute the interaction potential within the framework of gauge-invariant, path-dependent, variables formalism. While in the case of a constant chromo-electric field strength expectation value the static potential remains Coulombic, in the case of a constant chromo-magnetic field strength the potential energy is the sum of a Coulombic and a linear potentials, leading to the confinement of static charges.

Born–infeld Electrodynamics and Euler–heisenberg-Like Model: Outstanding Examples of the Lack of Commutativity Among Quantized Truncated Actions and Truncated Quantized Actions

“…8,9 Although these searches have ultimately yielded upper limits on the photon-photon cross-section, the issue remains as relevant as ever. Mention should be made, at this point, to alternative scenarios such as Born-Infeld theory, 10 millicharged particles 11 or axion-like particles [12][13][14] in order to account for the results reported by the PVLAS collaboration. Also, the study of space-time noncommutativity on light propagation in a background electromagnetic field has been discussed along these lines.…”

Dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking

“…[6]) plays the role of the standard Lorentz-breaking theory whose different aspects were studied in [7] (nevertheless, the Lorentz breaking was studied also for other four-dimensional theories, such as, for example, linearized and non-linearized gravity [8]). At the same time, there is much less results for the Lorentz-breaking theories in other space-time dimensions, the only results are the study of compactification of the five-dimensional Lorentz-breaking theories [9], the study of two-dimensional Lorentz-breaking model for the scalar fields [10] and investigation of some phenomenological implications of the three-dimensional "mixed" scalar-vector quadratic term [11] which was earlier obtained via the dimensional reduction of the Jackiw term [12,13]. So, the natural problem is the investigation of more aspects of the lower-dimensional, especially three-dimensional, Lorentz-breaking field theories.…”

Two-dimensional Lorentz-violating Chern–Simons-like action

“…Thus, the very interesting problem is the possibility of generating the Lorentz-breaking terms in lower dimensions. An example of the possible Lorentz-breaking term with no higher derivatives in three-dimensional space-time is given by the mixed scalar-vector term studied earlier in the context of Julia-Toulouse mechanism [9]. Moreover, recently a two-dimensional Lorentzbreaking term was suggested and studied in the context of the defect structures [10].…”