Schwinger model in noncommutating space–time

Abstract

The 1 + 1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The theory in the reduced phase space exhibits a massive boson interacting with a background. The emergence of this background interaction is a novel feature due to noncommutativity. The structure of the theory ensures unitarity and causality.

Study of the photon’s pole structure in the noncommutative Schwinger model

“…Hence, Schwinger model can be a toy model to understand the quark confinement. The extension of the Schwinger model to the noncommutative version as regards different aspects has been addressed in [9,[11][12][13][14][15][16]. Here, we focus on the dynamical mass generation in the noncommutative space.…”

Light propagation in a background field for time–space non-commutativity and axionic non-commutative QED

“…Also, unitarity no longer requires (1.5) if a proper quantization is applied [19]. As a result, the theories with θ 0i = 0 have become an area of active research (see [20][21][22][23][24] for a non-exhaustive list of related works dealing with different aspects of time-space noncommutativity). Therefore it is natural that the properties of wave propagation with non-zero θ 0i should be considered too.…”

Perturbative effective action for the photon in noncommutative QED2 and exactness of the Schwinger mass

“…• d=2 : There are several papers on the study of noncommutative extension of the Schwinger model and its bosonized version, e.g., Refs. [20,21,24,27], where in [24,27], it is shown that the Schwinger mass, µ 2 = e 2 π , remains unchanged and does not receive any noncommutative corrections.…”

“…[11][12][13][14][15][16][17][18][19]. Since the Schwinger model has played an important part as a QCD 4 toy model, naturally it was analyzed in many contexts by the introduction of spacetime noncommutativity, unveiling interesting properties of noncommutative QED 2 [20][21][22][23][24][25][26][27].…”