Slavnov-Taylor identities for noncommutativeQED4

Lorentz violation bounds on Bhabha scattering

“…Since the Carroll-Field-Jackiw seminal paper [1] and after the construction of the extended Standard Model (SME) by Colladay and Kostelecky [2,3] (see also [4] and references therein), the possibility of Lorentz covariance breakdown in the context of Quantum Field Theory has been extensively studied. The interest in this issue appears in different contexts, such as supersymmetric models [5,6], noncommutative geometry [7], gravity and cosmology [8][9][10][11], high derivative models [12][13][14], renormalization [15][16][17][18] and scattering processes [19,20] in quantum electrodynamics (QED), condensed matter systems [21][22][23], and so on. Following these theoretical developments, many experimental tests on Lorentz-violating (LV) corrections have also been carried out and several constraints on LV parameters were established [24].…”

“…The interest in this issue appears in different contexts, such as supersymmetric models [5,6], noncommutative geometry [7], gravity and cosmology [8][9][10][11], high derivative models [12][13][14], renormalization [15][16][17][18] and scattering processes [19,20] in quantum electrodynamics (QED), condensed matter systems [21][22][23], and so on. Following these theoretical developments, many experimental tests on Lorentz-violating (LV) corrections have also been carried out and several constraints on LV parameters were established [24].…”

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

“…Finally, for n = 4, we obtain a one-loop correction to the quartic gauge vertex which is divergent as well, in contrast to the finite result arising from commutative analysis; further details are found in Ref. [35].…”

One-loop β function of noncommutative scalar QED4

“…However, the one-loop analysis of the quantum corrections to the cubic and quartic gauge vertices, which yields Z 3A and Z 4A , has already been presented in Ref. [22].…”

“…(1.1). To this end, we notice that the contribution 22 3 originates just from the pure gauge sector; hence, this part should also be present in NC-SQED, while the second term, including the matter sector, similar to the commutative case would have a different coefficient (due to its spinless structure).…”