The one-loop effective action for quantum electrodynamics on noncommutative space

Burić, Maja; Radovanovic, Voja

doi:10.1088/1126-6708/2002/10/074

Cited by 33 publications

(53 citation statements)

References 22 publications

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“…In the SU(N) case, N ≥ 3, we only have the divergences coming from the t i terms, which are multiplicatively renormalisable with δZ h = 0; thus, the SU(N) gauge sector is renormalisable, as has been obtained already for other NC theories in the enveloping algebra approach with different matter content [20][21][22][23][24][25].…”

Section: Jhep11(2009)092mentioning

confidence: 59%

“…On the other hand, concerning the theories defined by means of Seiberg-Witten maps, they are known to have gauge anomaly cancellation conditions identical to their commutative counterparts [18], and their renormalisability properties have been studied in a wide number of papers [19][20][21][22][23][24][25][26][27]. The results can be summarised as follows: pure gauge theories, U(1) or SU(N), are one-loop renormalisable at least to first order in the noncommutativity parameters.…”

Section: Jhep11(2009)092mentioning

confidence: 99%

“…The introduction of matter fields in the form of Dirac fermions or complex scalars in arbitrary representations (but such that the matter Lagrangian in terms of noncommutative fields does not involve a covariant derivative with a star-product commutator), does not spoil the renormalisability of the gauge sector of the theory; however, the full theory seems to be nonrenormalisable in all cases analysed. These cases for which the renormalisability of the matter sector has been addressed are: Dirac fermions with gauge groups U(1) [20,21] or SU (2) in the fundamental representation [22], and U(1) complex scalars [25]. Renormalisability is spoilt by the appearance of divergences in matter field Green functions which cannot be removed by multiplicative renormalisations or field redefinitions.…”

Section: Jhep11(2009)092mentioning

confidence: 99%

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Noncommutative 𝒩 = 1 super Yang-Mills, the Seiberg-Witten map and UV divergences

Martı́n

Tamarit

2009

J. High Energy Phys.

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Classically, the dual under the Seiberg-Witten map of noncommutative U(N), N = 1 super Yang-Mills theory is a field theory with ordinary gauge symmetry whose fields carry, however, a θ -deformed nonlinear realisation of the N = 1 supersymmetry algebra in four dimensions. For the latter theory we work out at one-loop and first order in the noncommutative parameter matrix θ µν the UV divergent part of its effective action in the background-field gauge, and, for N = 1 , we show that for finite values of N the gauge sector fails to be renormalisable; however, in the large N limit the full theory is renormalisable, in keeping with the expectations raised by the quantum behaviour of the theory's noncommutative classical dual. We also obtain -for N ≥ 3 , the case with N = 2 being trivial-the UV divergent part of the effective action of the SU(N) noncommutative theory in the enveloping-algebra formalism that is obtained from the previous ordinary U(N) theory by removing the U(1) degrees of freedom. This noncommutative SU(N) theory is also renormalisable.

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Section: Jhep11(2009)092mentioning

confidence: 59%

Section: Jhep11(2009)092mentioning

confidence: 99%

Section: Jhep11(2009)092mentioning

confidence: 99%

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Noncommutative 𝒩 = 1 super Yang-Mills, the Seiberg-Witten map and UV divergences

Martı́n

Tamarit

2009

J. High Energy Phys.

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“…We notice immediately that this action is different from actions for NC Electrodynamics already present in the literature [30][31][32][33]. The new terms appear as residual from the gravitational interaction and they will lead to some non-trivial phenomena, like a deformed dispersion relation and deformed propagator for fermions.…”

Section: Nc Dirac Fermionmentioning

confidence: 69%

“…is not a renormalizabile theory because of the fermionic loop contributions [30][31][32]. It would be interesting to see if additional terms present in the NC SO(2, 3) gravity-induced Electrodynamics (4.1) could be renormalised by using the freedom in the Seiberg-Witten map.…”

Section: Discussionmentioning

confidence: 99%

Noncommutative electrodynamics from $$SO(2,3)_\star $$ S O ( 2 , 3 ) ⋆

et al. 2018

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In our previous work we have constructed a model of noncommutative (NC) gravity based on SO(2, 3) gauge symmetry. In this paper we extend the model by adding matter fields: fermions and a U (1) gauge field. Using the enveloping algebra approach and the Seiberg-Witten map we construct actions for these matter fields and expand the actions up to first order in the noncommutativity (deformation) parameter. Unlike in the case of pure NC gravity, first non-vanishing NC corrections are linear in the noncommutativity parameter. In the flat space-time limit we obtain a nonstandard NC Electrodynamics. Finally, we discuss effects of noncommutativity on relativistic Landau levels of an electron in a constant background magnetic field and in addition we calculate the induced NC magnetic dipole moment of the electron.

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Operating window for the peeling of polyimide film

Wang

Liu

et al. 2009

Polymer Engineering & Sci

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The peeling behavior of polyimide film coated on steel substrates was experimentally investigated and compared with existing models. An operating window for peeling, which is defined as a closed domain for steady and defect-free peeling, is presented in terms of peeling force versus residual solvent content. The window is bounded by two major defects: the film becomes too brittle for peeling at high peeling force, and stick-slip striation defect appears at low peeling force. There exists a critical residual solvent content below which the adhesion between the polyimide film and the substrate is too strong and then peeling is impossible. Existing models for predicting steady peeling and the onset of peeling defects have been modified and applied to setup the boundaries of the operating window. There also exists another operating window for drying of polyimide and is presented in the form of drying temperature versus film thickness.FIG. 12. The SEM images of stick-slip striation defects during peeling. (a) T ¼ 1208C, t ¼ 15 lm, v ch ¼ 10 mm/min, residual solvent content ¼ 11.9 wt% and (b) T ¼ 1808C, t ¼ 28 lm, v ch ¼ 2 mm/min, residual solvent content ¼ 7.3 wt%.

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The one-loop effective action for quantum electrodynamics on noncommutative space

Abstract: In this paper we calculate the divergent part of the one loop effective action for QED on noncommutative space using the background field method. The effective action is obtained up to the second order in the noncommutative parameter θ and in the classical fields.

Cited by 33 publications

References 22 publications

Noncommutative 𝒩 = 1 super Yang-Mills, the Seiberg-Witten map and UV divergences

Noncommutative 𝒩 = 1 super Yang-Mills, the Seiberg-Witten map and UV divergences

Noncommutative electrodynamics from $$SO(2,3)_\star $$ S O ( 2 , 3 ) ⋆

Operating window for the peeling of polyimide film

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