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Paper   IPM / M / 15246
School of Mathematics
  Title:   Perturbative effective action for the photon in noncommutative QED2 and exactness of the Schwinger mass
  Author(s):  Amir Abbas Varshovi (Joint with M. Ghasemkhani and R. Bufalo)
  Status:   Published
  Journal: Phys. Rev. D
  Vol.:  97
  Year:  2018
  Pages:   065005
  Supported by:  IPM
In this paper, we discuss the noncommutative QED2 in the S-matrix framework. We are interested in perturbatively proving that the exact Schwinger mass μ2 ¼ e2 �? does not receive noncommutative corrections to any order in loop expansion. In this sense, the S-matrix approach is useful since it allows us to work with the effective action �?½A (interaction term) to compute the corresponding gauge field 1PI two-point function at higher orders. Furthermore, by means of α-cohomology, we generalize the QED2 S-matrix analysis in the Moyal star product to all translation-invariant star products.

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